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University of Colorado

1. Barnett, Gregory. A Robust RBF-FD Formulation based on Polyharmonic Splines and Polynomials.

Degree: PhD, Applied Mathematics, 2015, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/97

► We introduce a local method based on radial basis function-generated finite differences (RBF-FD) for interpolation and the numerical solution of partial differential equations (PDEs).…
(more)

Subjects/Keywords: radial basis functions; polyharmonic splines; partial differential equations; Numerical Analysis and Computation; Partial Differential Equations

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APA (6^{th} Edition):

Barnett, G. (2015). A Robust RBF-FD Formulation based on Polyharmonic Splines and Polynomials. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/97

Chicago Manual of Style (16^{th} Edition):

Barnett, Gregory. “A Robust RBF-FD Formulation based on Polyharmonic Splines and Polynomials.” 2015. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/97.

MLA Handbook (7^{th} Edition):

Barnett, Gregory. “A Robust RBF-FD Formulation based on Polyharmonic Splines and Polynomials.” 2015. Web. 27 Sep 2020.

Vancouver:

Barnett G. A Robust RBF-FD Formulation based on Polyharmonic Splines and Polynomials. [Internet] [Doctoral dissertation]. University of Colorado; 2015. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/97.

Council of Science Editors:

Barnett G. A Robust RBF-FD Formulation based on Polyharmonic Splines and Polynomials. [Doctoral Dissertation]. University of Colorado; 2015. Available from: https://scholar.colorado.edu/appm_gradetds/97

University of Colorado

2. Grooms, Ian. Asymptotic and Numerical Methods for Rapidly Rotating Buoyant Flow.

Degree: PhD, Applied Mathematics, 2011, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/14

► This thesis documents three investigations carried out in pursuance of a doctoral degree in applied mathematics at the *University* of *Colorado* (Boulder). The first…
(more)

Subjects/Keywords: Fluid Dynamics; Dynamic Systems

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APA (6^{th} Edition):

Grooms, I. (2011). Asymptotic and Numerical Methods for Rapidly Rotating Buoyant Flow. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/14

Chicago Manual of Style (16^{th} Edition):

Grooms, Ian. “Asymptotic and Numerical Methods for Rapidly Rotating Buoyant Flow.” 2011. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/14.

MLA Handbook (7^{th} Edition):

Grooms, Ian. “Asymptotic and Numerical Methods for Rapidly Rotating Buoyant Flow.” 2011. Web. 27 Sep 2020.

Vancouver:

Grooms I. Asymptotic and Numerical Methods for Rapidly Rotating Buoyant Flow. [Internet] [Doctoral dissertation]. University of Colorado; 2011. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/14.

Council of Science Editors:

Grooms I. Asymptotic and Numerical Methods for Rapidly Rotating Buoyant Flow. [Doctoral Dissertation]. University of Colorado; 2011. Available from: https://scholar.colorado.edu/appm_gradetds/14

University of Colorado

3. Davis, Christopher-Ian Raphael. Numerical Tests of the Fokas Method for Helmholtz-type Partial Differential Equations: Dirichlet to Neumann Maps.

Degree: MS, Applied Mathematics, 2011, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/17

► A method for solving boundary value problems for linear partial differential equations in convex polygons developed by A.S. Fokas in the late 1990s is…
(more)

Subjects/Keywords: Boundary integral method; Dirichlet-Neumann map; Fokas transform method; Helmholtz equation; modified Helmholtz equation; polygonal domain; Applied Mathematics

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APA (6^{th} Edition):

Davis, C. R. (2011). Numerical Tests of the Fokas Method for Helmholtz-type Partial Differential Equations: Dirichlet to Neumann Maps. (Masters Thesis). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/17

Chicago Manual of Style (16^{th} Edition):

Davis, Christopher-Ian Raphael. “Numerical Tests of the Fokas Method for Helmholtz-type Partial Differential Equations: Dirichlet to Neumann Maps.” 2011. Masters Thesis, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/17.

MLA Handbook (7^{th} Edition):

Davis, Christopher-Ian Raphael. “Numerical Tests of the Fokas Method for Helmholtz-type Partial Differential Equations: Dirichlet to Neumann Maps.” 2011. Web. 27 Sep 2020.

Vancouver:

Davis CR. Numerical Tests of the Fokas Method for Helmholtz-type Partial Differential Equations: Dirichlet to Neumann Maps. [Internet] [Masters thesis]. University of Colorado; 2011. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/17.

Council of Science Editors:

Davis CR. Numerical Tests of the Fokas Method for Helmholtz-type Partial Differential Equations: Dirichlet to Neumann Maps. [Masters Thesis]. University of Colorado; 2011. Available from: https://scholar.colorado.edu/appm_gradetds/17

University of Colorado

4. Powell, Collin Eugene. A Stable Numerical Algorithm for Near-Flat Radial Basis Functions.

Degree: MS, Applied Mathematics, 2011, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/23

► We present here a new stable algorithm for the small ϵ (ﬂat basis function) limit in Radial Basis Function interpolation. Based of of the…
(more)

Subjects/Keywords: Finite Difference; Flat Basis Functions; Mesh-less Methods; RBF-FD; RBF-GA; Stable Algorithms; Applied Mathematics

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APA (6^{th} Edition):

Powell, C. E. (2011). A Stable Numerical Algorithm for Near-Flat Radial Basis Functions. (Masters Thesis). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/23

Chicago Manual of Style (16^{th} Edition):

Powell, Collin Eugene. “A Stable Numerical Algorithm for Near-Flat Radial Basis Functions.” 2011. Masters Thesis, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/23.

MLA Handbook (7^{th} Edition):

Powell, Collin Eugene. “A Stable Numerical Algorithm for Near-Flat Radial Basis Functions.” 2011. Web. 27 Sep 2020.

Vancouver:

Powell CE. A Stable Numerical Algorithm for Near-Flat Radial Basis Functions. [Internet] [Masters thesis]. University of Colorado; 2011. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/23.

Council of Science Editors:

Powell CE. A Stable Numerical Algorithm for Near-Flat Radial Basis Functions. [Masters Thesis]. University of Colorado; 2011. Available from: https://scholar.colorado.edu/appm_gradetds/23

University of Colorado

5. Schauf, Andrew Johnathan. A pseudospectral implementation of Hamiltonian surface wave equations for coastal wave simulation.

Degree: MS, Applied Mathematics, 2013, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/39

► A Hamiltonian formulation of surface water wave dynamics offers several useful features for numerical simulations of coastal waves, including reduction of the fully three-dimensional…
(more)

Subjects/Keywords: coastal waves; Hamiltonian; pseudospectral method; water waves; Applied Mathematics; Ocean Engineering; Oceanography

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APA (6^{th} Edition):

Schauf, A. J. (2013). A pseudospectral implementation of Hamiltonian surface wave equations for coastal wave simulation. (Masters Thesis). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/39

Chicago Manual of Style (16^{th} Edition):

Schauf, Andrew Johnathan. “A pseudospectral implementation of Hamiltonian surface wave equations for coastal wave simulation.” 2013. Masters Thesis, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/39.

MLA Handbook (7^{th} Edition):

Schauf, Andrew Johnathan. “A pseudospectral implementation of Hamiltonian surface wave equations for coastal wave simulation.” 2013. Web. 27 Sep 2020.

Vancouver:

Schauf AJ. A pseudospectral implementation of Hamiltonian surface wave equations for coastal wave simulation. [Internet] [Masters thesis]. University of Colorado; 2013. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/39.

Council of Science Editors:

Schauf AJ. A pseudospectral implementation of Hamiltonian surface wave equations for coastal wave simulation. [Masters Thesis]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/appm_gradetds/39

University of Colorado

6. Buvoli, Tommaso. Rogue Waves in Optics and Water.

Degree: MS, Applied Mathematics, 2013, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/42

► In recent years, large amplitude rogue waves have been studied in water and optical fibers. These large waves occur more frequently than suggested by…
(more)

Subjects/Keywords: Modulational Instability; Nonlinear Schrödinger Equation; Rogue Waves; Zero-Disperion Fiber; Applied Mathematics

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APA (6^{th} Edition):

Buvoli, T. (2013). Rogue Waves in Optics and Water. (Masters Thesis). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/42

Chicago Manual of Style (16^{th} Edition):

Buvoli, Tommaso. “Rogue Waves in Optics and Water.” 2013. Masters Thesis, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/42.

MLA Handbook (7^{th} Edition):

Buvoli, Tommaso. “Rogue Waves in Optics and Water.” 2013. Web. 27 Sep 2020.

Vancouver:

Buvoli T. Rogue Waves in Optics and Water. [Internet] [Masters thesis]. University of Colorado; 2013. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/42.

Council of Science Editors:

Buvoli T. Rogue Waves in Optics and Water. [Masters Thesis]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/appm_gradetds/42

University of Colorado

7. Parsons, Elizabeth Ellen. Simulation of a Quantum Prime Factoring Algorithm.

Degree: MA, Mathematics, 2016, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/39

► The intent of this thesis is to elucidate the quantum computing algorithm developed by Peter Shor called Shor's algorithm. We will provide a detailed…
(more)

Subjects/Keywords: Cryptography; Quantum Fourier Transform; Shor's Algorithm; Mathematics

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APA (6^{th} Edition):

Parsons, E. E. (2016). Simulation of a Quantum Prime Factoring Algorithm. (Masters Thesis). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/39

Chicago Manual of Style (16^{th} Edition):

Parsons, Elizabeth Ellen. “Simulation of a Quantum Prime Factoring Algorithm.” 2016. Masters Thesis, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/math_gradetds/39.

MLA Handbook (7^{th} Edition):

Parsons, Elizabeth Ellen. “Simulation of a Quantum Prime Factoring Algorithm.” 2016. Web. 27 Sep 2020.

Vancouver:

Parsons EE. Simulation of a Quantum Prime Factoring Algorithm. [Internet] [Masters thesis]. University of Colorado; 2016. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/math_gradetds/39.

Council of Science Editors:

Parsons EE. Simulation of a Quantum Prime Factoring Algorithm. [Masters Thesis]. University of Colorado; 2016. Available from: https://scholar.colorado.edu/math_gradetds/39

University of Colorado

8. Shani, Erez. Analysis and Numerical Performance of Methods of Solving the Time Independent Schr¨odinger Equation for Simulation in Strong-Field Physics.

Degree: MS, Applied Mathematics, 2017, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/89

► Many contemporary problems in theoretical atomic, molecular, and optical physics involve the solution of the time-dependent Schrödinger equation describing the dynamics of a many-body system…
(more)

Subjects/Keywords: Schrödinger equation; many-body systems; numerical solution; Arnoldi algorithm; Quantum Physics

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APA (6^{th} Edition):

Shani, E. (2017). Analysis and Numerical Performance of Methods of Solving the Time Independent Schr¨odinger Equation for Simulation in Strong-Field Physics. (Masters Thesis). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/89

Chicago Manual of Style (16^{th} Edition):

Shani, Erez. “Analysis and Numerical Performance of Methods of Solving the Time Independent Schr¨odinger Equation for Simulation in Strong-Field Physics.” 2017. Masters Thesis, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/89.

MLA Handbook (7^{th} Edition):

Shani, Erez. “Analysis and Numerical Performance of Methods of Solving the Time Independent Schr¨odinger Equation for Simulation in Strong-Field Physics.” 2017. Web. 27 Sep 2020.

Vancouver:

Shani E. Analysis and Numerical Performance of Methods of Solving the Time Independent Schr¨odinger Equation for Simulation in Strong-Field Physics. [Internet] [Masters thesis]. University of Colorado; 2017. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/89.

Council of Science Editors:

Shani E. Analysis and Numerical Performance of Methods of Solving the Time Independent Schr¨odinger Equation for Simulation in Strong-Field Physics. [Masters Thesis]. University of Colorado; 2017. Available from: https://scholar.colorado.edu/appm_gradetds/89

University of Colorado

9. Goetz-Weiss, Lukas Ruediger Nelson. Dimensionality Detection and the Geometric Median on Data Manifolds.

Degree: MS, Applied Mathematics, 2017, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/95

► In many applications high-dimensional observations are assumed to arrange on or near a low-dimensional manifold embedded in an ambient Euclidean space. In this thesis,…
(more)

Subjects/Keywords: Dimensionality Detection; Equation-Free; Geometric Median; High-Dimensional Processes; Manifold Learning; Applied Mechanics

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APA (6^{th} Edition):

Goetz-Weiss, L. R. N. (2017). Dimensionality Detection and the Geometric Median on Data Manifolds. (Masters Thesis). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/95

Chicago Manual of Style (16^{th} Edition):

Goetz-Weiss, Lukas Ruediger Nelson. “Dimensionality Detection and the Geometric Median on Data Manifolds.” 2017. Masters Thesis, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/95.

MLA Handbook (7^{th} Edition):

Goetz-Weiss, Lukas Ruediger Nelson. “Dimensionality Detection and the Geometric Median on Data Manifolds.” 2017. Web. 27 Sep 2020.

Vancouver:

Goetz-Weiss LRN. Dimensionality Detection and the Geometric Median on Data Manifolds. [Internet] [Masters thesis]. University of Colorado; 2017. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/95.

Council of Science Editors:

Goetz-Weiss LRN. Dimensionality Detection and the Geometric Median on Data Manifolds. [Masters Thesis]. University of Colorado; 2017. Available from: https://scholar.colorado.edu/appm_gradetds/95

University of Colorado

10. Benzaken, Joseph David. Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis.

Degree: PhD, 2018, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/108

► In this dissertation, we present a methodology for understanding the propagation and control of geometric variation in engineering design and analysis. This work is comprised…
(more)

Subjects/Keywords: design space exploration; manifold optimization; parametric partial differential equations; thin shell structures; tolerance allocation protocols; uncertainty quantification; Aerospace Engineering; Applied Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Benzaken, J. D. (2018). Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/108

Chicago Manual of Style (16^{th} Edition):

Benzaken, Joseph David. “Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis.” 2018. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/108.

MLA Handbook (7^{th} Edition):

Benzaken, Joseph David. “Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis.” 2018. Web. 27 Sep 2020.

Vancouver:

Benzaken JD. Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/108.

Council of Science Editors:

Benzaken JD. Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/appm_gradetds/108

University of Colorado

11. Benzaken, Joseph D. Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis.

Degree: PhD, Applied Mathematics, 2018, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/137

► In this dissertation, we present a methodology for understanding the propagation and control of geometric variation in engineering design and analysis. This work is…
(more)

Subjects/Keywords: Design Space Exploration; Manifold Optimization; Parametric Partial Differential Equations; Thin Shell Structures; Tolerance Allocation Protocols; Uncertainty Quantification; Numerical Analysis and Computation; Partial Differential Equations; Structures and Materials

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Benzaken, J. D. (2018). Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/137

Chicago Manual of Style (16^{th} Edition):

Benzaken, Joseph D. “Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis.” 2018. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/137.

MLA Handbook (7^{th} Edition):

Benzaken, Joseph D. “Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis.” 2018. Web. 27 Sep 2020.

Vancouver:

Benzaken JD. Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/137.

Council of Science Editors:

Benzaken JD. Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/appm_gradetds/137

University of Colorado

12. Babb, Tracy. Accelerated Time-Stepping of Parabolic and Hyperbolic Pdes Via Fast Direct Solvers for Elliptic Problems.

Degree: PhD, 2019, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/156

► The dissertation concerns numerical methods for approximately solving certain linear partial differential equations. The foundation is a solution methodology for linear elliptic boundary value…
(more)

Subjects/Keywords: Poincare-steklov; linear partial differential equations; multidomain spectral discretization; Applied Mathematics

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Babb, T. (2019). Accelerated Time-Stepping of Parabolic and Hyperbolic Pdes Via Fast Direct Solvers for Elliptic Problems. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/156

Chicago Manual of Style (16^{th} Edition):

Babb, Tracy. “Accelerated Time-Stepping of Parabolic and Hyperbolic Pdes Via Fast Direct Solvers for Elliptic Problems.” 2019. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/156.

MLA Handbook (7^{th} Edition):

Babb, Tracy. “Accelerated Time-Stepping of Parabolic and Hyperbolic Pdes Via Fast Direct Solvers for Elliptic Problems.” 2019. Web. 27 Sep 2020.

Vancouver:

Babb T. Accelerated Time-Stepping of Parabolic and Hyperbolic Pdes Via Fast Direct Solvers for Elliptic Problems. [Internet] [Doctoral dissertation]. University of Colorado; 2019. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/156.

Council of Science Editors:

Babb T. Accelerated Time-Stepping of Parabolic and Hyperbolic Pdes Via Fast Direct Solvers for Elliptic Problems. [Doctoral Dissertation]. University of Colorado; 2019. Available from: https://scholar.colorado.edu/appm_gradetds/156

University of Colorado

13. Nieves, David Joseph. Investigations of Reduced Equations for Rotating, Stratified and Non-hydrostatic Flows.

Degree: PhD, Applied Mathematics, 2016, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/70

► This thesis is a collection of studies concerning an asymptotically reduced equation set derived from the Boussinesq approximation describing rotationally constrained geophysical flow. The…
(more)

Subjects/Keywords: geophysical flows; geostrophic turbulence; Quasi-geostrophic flows; rotating flows; stratified flows; Atmospheric Sciences; Geophysics and Seismology

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Nieves, D. J. (2016). Investigations of Reduced Equations for Rotating, Stratified and Non-hydrostatic Flows. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/70

Chicago Manual of Style (16^{th} Edition):

Nieves, David Joseph. “Investigations of Reduced Equations for Rotating, Stratified and Non-hydrostatic Flows.” 2016. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/70.

MLA Handbook (7^{th} Edition):

Nieves, David Joseph. “Investigations of Reduced Equations for Rotating, Stratified and Non-hydrostatic Flows.” 2016. Web. 27 Sep 2020.

Vancouver:

Nieves DJ. Investigations of Reduced Equations for Rotating, Stratified and Non-hydrostatic Flows. [Internet] [Doctoral dissertation]. University of Colorado; 2016. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/70.

Council of Science Editors:

Nieves DJ. Investigations of Reduced Equations for Rotating, Stratified and Non-hydrostatic Flows. [Doctoral Dissertation]. University of Colorado; 2016. Available from: https://scholar.colorado.edu/appm_gradetds/70

University of Colorado

14. Baldwin, Douglas Eugene. Dispersive shock wave interactions and two-dimensional ocean-wave soliton interactions.

Degree: PhD, Applied Mathematics, 2013, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/35

► Many physical phenomena are understood and modeled with nonlinear partial differential equations (PDEs). Unfortunately, nonlinear PDEs rarely have analytic solutions. But perturbation theory can…
(more)

Subjects/Keywords: Applied Mathematics

Record Details Similar Records

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APA (6^{th} Edition):

Baldwin, D. E. (2013). Dispersive shock wave interactions and two-dimensional ocean-wave soliton interactions. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/35

Chicago Manual of Style (16^{th} Edition):

Baldwin, Douglas Eugene. “Dispersive shock wave interactions and two-dimensional ocean-wave soliton interactions.” 2013. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/35.

MLA Handbook (7^{th} Edition):

Baldwin, Douglas Eugene. “Dispersive shock wave interactions and two-dimensional ocean-wave soliton interactions.” 2013. Web. 27 Sep 2020.

Vancouver:

Baldwin DE. Dispersive shock wave interactions and two-dimensional ocean-wave soliton interactions. [Internet] [Doctoral dissertation]. University of Colorado; 2013. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/35.

Council of Science Editors:

Baldwin DE. Dispersive shock wave interactions and two-dimensional ocean-wave soliton interactions. [Doctoral Dissertation]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/appm_gradetds/35

University of Colorado

15. Reeger, Jonah A. A Computational Study of the Fourth Painleve Equation and a Discussion of Adams Predictor-Corrector Methods.

Degree: PhD, Applied Mathematics, 2013, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/38

► This thesis explores two unrelated research topics. The first is a numerical study of the fourth Painleve equation, while the second is a characterization…
(more)

Subjects/Keywords: connection formula; Painleve equation; Painleve transcendent; pole field; Applied Mathematics

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APA (6^{th} Edition):

Reeger, J. A. (2013). A Computational Study of the Fourth Painleve Equation and a Discussion of Adams Predictor-Corrector Methods. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/38

Chicago Manual of Style (16^{th} Edition):

Reeger, Jonah A. “A Computational Study of the Fourth Painleve Equation and a Discussion of Adams Predictor-Corrector Methods.” 2013. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/38.

MLA Handbook (7^{th} Edition):

Reeger, Jonah A. “A Computational Study of the Fourth Painleve Equation and a Discussion of Adams Predictor-Corrector Methods.” 2013. Web. 27 Sep 2020.

Vancouver:

Reeger JA. A Computational Study of the Fourth Painleve Equation and a Discussion of Adams Predictor-Corrector Methods. [Internet] [Doctoral dissertation]. University of Colorado; 2013. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/38.

Council of Science Editors:

Reeger JA. A Computational Study of the Fourth Painleve Equation and a Discussion of Adams Predictor-Corrector Methods. [Doctoral Dissertation]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/appm_gradetds/38

University of Colorado

16. Rasca, Anthony P. Modeling Solar Wind Mass-Loading Due to Dust in the Solar Corona.

Degree: PhD, Applied Mathematics, 2013, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/44

► Collisionless mass-loading was first discussed to describe interactions between the solar wind and cometary atmospheres. Recent observations have led to an increased interest in…
(more)

Subjects/Keywords: Dust; Fluid Modeling; Mass-Loading; Shocks; Solar Wind; Sungrazing Comets; Applied Mathematics; Fluid Dynamics; Instrumentation

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APA (6^{th} Edition):

Rasca, A. P. (2013). Modeling Solar Wind Mass-Loading Due to Dust in the Solar Corona. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/44

Chicago Manual of Style (16^{th} Edition):

Rasca, Anthony P. “Modeling Solar Wind Mass-Loading Due to Dust in the Solar Corona.” 2013. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/44.

MLA Handbook (7^{th} Edition):

Rasca, Anthony P. “Modeling Solar Wind Mass-Loading Due to Dust in the Solar Corona.” 2013. Web. 27 Sep 2020.

Vancouver:

Rasca AP. Modeling Solar Wind Mass-Loading Due to Dust in the Solar Corona. [Internet] [Doctoral dissertation]. University of Colorado; 2013. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/44.

Council of Science Editors:

Rasca AP. Modeling Solar Wind Mass-Loading Due to Dust in the Solar Corona. [Doctoral Dissertation]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/appm_gradetds/44

University of Colorado

17. Sen, Amrik. A Tale of Waves and Eddies in a Sea of Rotating Turbulence.

Degree: PhD, Applied Mathematics, 2014, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/46

► In this thesis, we investigate several properties of rotating turbulent flows. First, we ran several computer simulations of rotating turbulent flows and performed statistical…
(more)

Subjects/Keywords: Hamiltonian Dynamics; Nonlinear waves; perturbation Theory; Rotating Turbulence; Symmetries and reduction; Applied Mathematics; Geophysics and Seismology; Physics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Sen, A. (2014). A Tale of Waves and Eddies in a Sea of Rotating Turbulence. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/46

Chicago Manual of Style (16^{th} Edition):

Sen, Amrik. “A Tale of Waves and Eddies in a Sea of Rotating Turbulence.” 2014. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/46.

MLA Handbook (7^{th} Edition):

Sen, Amrik. “A Tale of Waves and Eddies in a Sea of Rotating Turbulence.” 2014. Web. 27 Sep 2020.

Vancouver:

Sen A. A Tale of Waves and Eddies in a Sea of Rotating Turbulence. [Internet] [Doctoral dissertation]. University of Colorado; 2014. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/46.

Council of Science Editors:

Sen A. A Tale of Waves and Eddies in a Sea of Rotating Turbulence. [Doctoral Dissertation]. University of Colorado; 2014. Available from: https://scholar.colorado.edu/appm_gradetds/46

University of Colorado

18. Webb, Adrean Andrew. Stokes Drift and Meshless Wave Modeling.

Degree: PhD, Applied Mathematics, 2013, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/48

► This dissertation is loosely organized around efforts to improve vertical ocean mixing in global climate models and includes an in-depth analysis of Stokes drift,…
(more)

Subjects/Keywords: Langmuir mixing; meshless method; rbf-generated finite differences; spectral wave model; Stokes drift; unstructured nodes; Applied Mathematics; Oceanography

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Webb, A. A. (2013). Stokes Drift and Meshless Wave Modeling. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/48

Chicago Manual of Style (16^{th} Edition):

Webb, Adrean Andrew. “Stokes Drift and Meshless Wave Modeling.” 2013. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/48.

MLA Handbook (7^{th} Edition):

Webb, Adrean Andrew. “Stokes Drift and Meshless Wave Modeling.” 2013. Web. 27 Sep 2020.

Vancouver:

Webb AA. Stokes Drift and Meshless Wave Modeling. [Internet] [Doctoral dissertation]. University of Colorado; 2013. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/48.

Council of Science Editors:

Webb AA. Stokes Drift and Meshless Wave Modeling. [Doctoral Dissertation]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/appm_gradetds/48

University of Colorado

19. Martin, Bradley Pifer. Application of Rbf-Fd to Wave and Heat Transport Problems in Domains with Interfaces.

Degree: PhD, Applied Mathematics, 2016, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/79

► Traditional finite difference methods for solving the partial differential equations (PDEs) associated with wave and heat transport often perform poorly when used in domains…
(more)

Subjects/Keywords: finite differences; heat equation; interfaces; mesh free; RBF; wave equation; Applied Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Martin, B. P. (2016). Application of Rbf-Fd to Wave and Heat Transport Problems in Domains with Interfaces. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/79

Chicago Manual of Style (16^{th} Edition):

Martin, Bradley Pifer. “Application of Rbf-Fd to Wave and Heat Transport Problems in Domains with Interfaces.” 2016. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/79.

MLA Handbook (7^{th} Edition):

Martin, Bradley Pifer. “Application of Rbf-Fd to Wave and Heat Transport Problems in Domains with Interfaces.” 2016. Web. 27 Sep 2020.

Vancouver:

Martin BP. Application of Rbf-Fd to Wave and Heat Transport Problems in Domains with Interfaces. [Internet] [Doctoral dissertation]. University of Colorado; 2016. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/79.

Council of Science Editors:

Martin BP. Application of Rbf-Fd to Wave and Heat Transport Problems in Domains with Interfaces. [Doctoral Dissertation]. University of Colorado; 2016. Available from: https://scholar.colorado.edu/appm_gradetds/79

University of Colorado

20. Satkauskas, Ignas V. Numerical Calculus of Probability Density Functions.

Degree: PhD, Applied Mathematics, 2017, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/93

► In this thesis we construct novel functional representations for the Probability Density Functions (PDFs) of random variables and develop efficient and accurate algorithms for…
(more)

Subjects/Keywords: multiresolution analysis; probability density function; product of random variables; Applied Mathematics; Probability

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Satkauskas, I. V. (2017). Numerical Calculus of Probability Density Functions. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/93

Chicago Manual of Style (16^{th} Edition):

Satkauskas, Ignas V. “Numerical Calculus of Probability Density Functions.” 2017. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/93.

MLA Handbook (7^{th} Edition):

Satkauskas, Ignas V. “Numerical Calculus of Probability Density Functions.” 2017. Web. 27 Sep 2020.

Vancouver:

Satkauskas IV. Numerical Calculus of Probability Density Functions. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/93.

Council of Science Editors:

Satkauskas IV. Numerical Calculus of Probability Density Functions. [Doctoral Dissertation]. University of Colorado; 2017. Available from: https://scholar.colorado.edu/appm_gradetds/93

University of Colorado

21. Yang, Xinshuo. Reduction of Multivariate Mixtures and Its Applications.

Degree: PhD, 2018, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/106

► We consider a fast deterministic algorithm to identify the "best" linearly independent terms in multivariate mixtures and use them to compute an equivalent representation…
(more)

Subjects/Keywords: far-field summation in high dimensions; hartree-fock equations; integral equations; kernel density estimation; multivariate mixtures; reduction algorithms; Applied Mathematics; Theory and Algorithms

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Yang, X. (2018). Reduction of Multivariate Mixtures and Its Applications. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/106

Chicago Manual of Style (16^{th} Edition):

Yang, Xinshuo. “Reduction of Multivariate Mixtures and Its Applications.” 2018. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/106.

MLA Handbook (7^{th} Edition):

Yang, Xinshuo. “Reduction of Multivariate Mixtures and Its Applications.” 2018. Web. 27 Sep 2020.

Vancouver:

Yang X. Reduction of Multivariate Mixtures and Its Applications. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/106.

Council of Science Editors:

Yang X. Reduction of Multivariate Mixtures and Its Applications. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/appm_gradetds/106

University of Colorado

22. Martin, Ruth Ann. Toward a General Solution of the Three-Wave Resonant Interaction Equations.

Degree: PhD, Applied Mathematics, 2015, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/67

► The resonant interaction of three wavetrains is the simplest form of nonlinear interaction for dispersive waves of small amplitude. Such interactions arise frequently in…
(more)

Subjects/Keywords: Nonlinear; Painleve; PDEs; Waves; resonant interaction; three wavetrains; nonlinear interaction; dispersive system; Special Functions

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Martin, R. A. (2015). Toward a General Solution of the Three-Wave Resonant Interaction Equations. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/67

Chicago Manual of Style (16^{th} Edition):

Martin, Ruth Ann. “Toward a General Solution of the Three-Wave Resonant Interaction Equations.” 2015. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/67.

MLA Handbook (7^{th} Edition):

Martin, Ruth Ann. “Toward a General Solution of the Three-Wave Resonant Interaction Equations.” 2015. Web. 27 Sep 2020.

Vancouver:

Martin RA. Toward a General Solution of the Three-Wave Resonant Interaction Equations. [Internet] [Doctoral dissertation]. University of Colorado; 2015. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/67.

Council of Science Editors:

Martin RA. Toward a General Solution of the Three-Wave Resonant Interaction Equations. [Doctoral Dissertation]. University of Colorado; 2015. Available from: https://scholar.colorado.edu/appm_gradetds/67

University of Colorado

23. Dunham, Benjamin Zane. High-Order Automatic Differentiation of Unmodified Linear Algebra Routines via Nilpotent Matrices.

Degree: PhD, 2017, University of Colorado

URL: https://scholar.colorado.edu/asen_gradetds/167

► This work presents a new automatic differentiation method, Nilpotent Matrix Differentiation (NMD), capable of propagating any order of mixed or univariate derivative through common…
(more)

Subjects/Keywords: adjoint; automatic differentiation; complex step; Hessian-vector; linear algebra; nilpotent element; Aerospace Engineering; Applied Mathematics; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Dunham, B. Z. (2017). High-Order Automatic Differentiation of Unmodified Linear Algebra Routines via Nilpotent Matrices. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/asen_gradetds/167

Chicago Manual of Style (16^{th} Edition):

Dunham, Benjamin Zane. “High-Order Automatic Differentiation of Unmodified Linear Algebra Routines via Nilpotent Matrices.” 2017. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/asen_gradetds/167.

MLA Handbook (7^{th} Edition):

Dunham, Benjamin Zane. “High-Order Automatic Differentiation of Unmodified Linear Algebra Routines via Nilpotent Matrices.” 2017. Web. 27 Sep 2020.

Vancouver:

Dunham BZ. High-Order Automatic Differentiation of Unmodified Linear Algebra Routines via Nilpotent Matrices. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/asen_gradetds/167.

Council of Science Editors:

Dunham BZ. High-Order Automatic Differentiation of Unmodified Linear Algebra Routines via Nilpotent Matrices. [Doctoral Dissertation]. University of Colorado; 2017. Available from: https://scholar.colorado.edu/asen_gradetds/167

University of Colorado

24. Monnig, Nathan D. From Nonlinear Embedding to Graph Distances: A Spectral Perspective.

Degree: PhD, Applied Mathematics, 2015, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/64

► In this thesis, we explore applications of spectral graph theory to the analysis of complex datasets and networks. We consider spectral embeddings of general…
(more)

Subjects/Keywords: effective resistance; graph distances; graph theory; nonlinear dimension reduction; radial basis functions; spectral algorithms; Numerical Analysis and Computation; Set Theory

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Monnig, N. D. (2015). From Nonlinear Embedding to Graph Distances: A Spectral Perspective. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/64

Chicago Manual of Style (16^{th} Edition):

Monnig, Nathan D. “From Nonlinear Embedding to Graph Distances: A Spectral Perspective.” 2015. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/64.

MLA Handbook (7^{th} Edition):

Monnig, Nathan D. “From Nonlinear Embedding to Graph Distances: A Spectral Perspective.” 2015. Web. 27 Sep 2020.

Vancouver:

Monnig ND. From Nonlinear Embedding to Graph Distances: A Spectral Perspective. [Internet] [Doctoral dissertation]. University of Colorado; 2015. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/64.

Council of Science Editors:

Monnig ND. From Nonlinear Embedding to Graph Distances: A Spectral Perspective. [Doctoral Dissertation]. University of Colorado; 2015. Available from: https://scholar.colorado.edu/appm_gradetds/64

University of Colorado

25. Charles, Richard Martin. Matrix Patch Reordering as a Strategy for Compression, Factorization, and Pattern Detection using Nonnegative Matrix Factorization Applied to Single Images.

Degree: PhD, Applied Mathematics, 2015, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/68

► Recent improvements in computing and technology demand the processing and analysis of huge datasets in a variety of ﬁelds. Often the analysis requires the…
(more)

Subjects/Keywords: Compression; Image Patches; Nonnegative Matrix Factorization; Pixel Reordering; SVD; Applied Mathematics; Signal Processing

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Charles, R. M. (2015). Matrix Patch Reordering as a Strategy for Compression, Factorization, and Pattern Detection using Nonnegative Matrix Factorization Applied to Single Images. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/68

Chicago Manual of Style (16^{th} Edition):

Charles, Richard Martin. “Matrix Patch Reordering as a Strategy for Compression, Factorization, and Pattern Detection using Nonnegative Matrix Factorization Applied to Single Images.” 2015. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/appm_gradetds/68.

MLA Handbook (7^{th} Edition):

Charles, Richard Martin. “Matrix Patch Reordering as a Strategy for Compression, Factorization, and Pattern Detection using Nonnegative Matrix Factorization Applied to Single Images.” 2015. Web. 27 Sep 2020.

Vancouver:

Charles RM. Matrix Patch Reordering as a Strategy for Compression, Factorization, and Pattern Detection using Nonnegative Matrix Factorization Applied to Single Images. [Internet] [Doctoral dissertation]. University of Colorado; 2015. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/appm_gradetds/68.

Council of Science Editors:

Charles RM. Matrix Patch Reordering as a Strategy for Compression, Factorization, and Pattern Detection using Nonnegative Matrix Factorization Applied to Single Images. [Doctoral Dissertation]. University of Colorado; 2015. Available from: https://scholar.colorado.edu/appm_gradetds/68

University of Colorado

26. Herman, Jonathan F.C. Improved Collocation Methods to Optimize Low-Thrust, Low-Energy Transfers in the Earth-Moon System.

Degree: PhD, Aerospace Engineering Sciences, 2015, University of Colorado

URL: https://scholar.colorado.edu/asen_gradetds/116

► Modern and near-future Solar Electric Propulsion capabilities enable many new missions that were inconceivable using chemical propulsion systems. Many of these involve highly complex…
(more)

Subjects/Keywords: Astrodynamics; Electric Propulsion; Low-Thrust Propulsion; Parallel computing; Trajectory Optimization; Aerospace Engineering

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Herman, J. F. C. (2015). Improved Collocation Methods to Optimize Low-Thrust, Low-Energy Transfers in the Earth-Moon System. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/asen_gradetds/116

Chicago Manual of Style (16^{th} Edition):

Herman, Jonathan F C. “Improved Collocation Methods to Optimize Low-Thrust, Low-Energy Transfers in the Earth-Moon System.” 2015. Doctoral Dissertation, University of Colorado. Accessed September 27, 2020. https://scholar.colorado.edu/asen_gradetds/116.

MLA Handbook (7^{th} Edition):

Herman, Jonathan F C. “Improved Collocation Methods to Optimize Low-Thrust, Low-Energy Transfers in the Earth-Moon System.” 2015. Web. 27 Sep 2020.

Vancouver:

Herman JFC. Improved Collocation Methods to Optimize Low-Thrust, Low-Energy Transfers in the Earth-Moon System. [Internet] [Doctoral dissertation]. University of Colorado; 2015. [cited 2020 Sep 27]. Available from: https://scholar.colorado.edu/asen_gradetds/116.

Council of Science Editors:

Herman JFC. Improved Collocation Methods to Optimize Low-Thrust, Low-Energy Transfers in the Earth-Moon System. [Doctoral Dissertation]. University of Colorado; 2015. Available from: https://scholar.colorado.edu/asen_gradetds/116