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You searched for +publisher:"University of Colorado" +contributor:("Bengt Fornberg"). Showing records 1 – 26 of 26 total matches.

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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

  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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

 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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

 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 (6th 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 (16th 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 (7th 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

  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

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APA (6th 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 (16th 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 (7th 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

  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

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APA (6th 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 (16th 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 (7th 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

  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

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APA (6th 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 (16th 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 (7th 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

  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

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APA (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

  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 (6th 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 (16th 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 (7th 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

  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

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APA (6th 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 (16th 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 (7th 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

  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

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APA (6th 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 (16th 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 (7th 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

.