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University of Colorado

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

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

URL: https://scholar.colorado.edu/appm_gradetds/139

► 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: multivariate mixtures; reduction algorithms; Hartree-Fock equations; integral equations; far-field summation in high dimensions; kernel density estimation; Numerical Analysis and Computation; Partial Differential Equations

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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/139

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

Yang, Xinshuo. “Reduction of Multivariate Mixtures and Its Applications.” 2018. Doctoral Dissertation, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/appm_gradetds/139.

MLA Handbook (7^{th} Edition):

Yang, Xinshuo. “Reduction of Multivariate Mixtures and Its Applications.” 2018. Web. 28 Feb 2021.

Vancouver:

Yang X. Reduction of Multivariate Mixtures and Its Applications. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/appm_gradetds/139.

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/139

University of Colorado

2. Quirin, Sean Albert. Quantitative Optical Imaging and Sensing by Joint Design of Point Spread Functions and Estimation Algorithms.

Degree: PhD, Electrical, Computer & Energy Engineering, 2012, University of Colorado

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

► The joint application of tailored optical Point Spread Functions (PSF) and estimation methods is an important tool for designing quantitative imaging and sensing solutions.…
(more)

Subjects/Keywords: Image Processing; Nanoscopy; Passive Ranging; Point Spread Function Engineering; Wavefront Sensing; Optics; Remote Sensing

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APA (6^{th} Edition):

Quirin, S. A. (2012). Quantitative Optical Imaging and Sensing by Joint Design of Point Spread Functions and Estimation Algorithms. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/ecen_gradetds/35

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

Quirin, Sean Albert. “Quantitative Optical Imaging and Sensing by Joint Design of Point Spread Functions and Estimation Algorithms.” 2012. Doctoral Dissertation, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/ecen_gradetds/35.

MLA Handbook (7^{th} Edition):

Quirin, Sean Albert. “Quantitative Optical Imaging and Sensing by Joint Design of Point Spread Functions and Estimation Algorithms.” 2012. Web. 28 Feb 2021.

Vancouver:

Quirin SA. Quantitative Optical Imaging and Sensing by Joint Design of Point Spread Functions and Estimation Algorithms. [Internet] [Doctoral dissertation]. University of Colorado; 2012. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/ecen_gradetds/35.

Council of Science Editors:

Quirin SA. Quantitative Optical Imaging and Sensing by Joint Design of Point Spread Functions and Estimation Algorithms. [Doctoral Dissertation]. University of Colorado; 2012. Available from: https://scholar.colorado.edu/ecen_gradetds/35

University of Colorado

3. Balducci, Marc. Orbit Uncertainty Propagation with Separated Representations.

Degree: PhD, 2018, University of Colorado

URL: https://scholar.colorado.edu/asen_gradetds/236

► In light of recent collisions and an increasing population of objects in Earth orbit, the space situational awareness community has significant motivation to develop novel…
(more)

Subjects/Keywords: separated representations; uncertainty quantification; earth orbit; avoidance maneuver; multi-element algorithm; Aerospace Engineering; Mathematics

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APA (6^{th} Edition):

Balducci, M. (2018). Orbit Uncertainty Propagation with Separated Representations. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/asen_gradetds/236

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

Balducci, Marc. “Orbit Uncertainty Propagation with Separated Representations.” 2018. Doctoral Dissertation, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/asen_gradetds/236.

MLA Handbook (7^{th} Edition):

Balducci, Marc. “Orbit Uncertainty Propagation with Separated Representations.” 2018. Web. 28 Feb 2021.

Vancouver:

Balducci M. Orbit Uncertainty Propagation with Separated Representations. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/asen_gradetds/236.

Council of Science Editors:

Balducci M. Orbit Uncertainty Propagation with Separated Representations. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/asen_gradetds/236

University of Colorado

4. Jones, Brandon Allan. Efficient Models for the Evaluation and Estimation of the Gravity Field.

Degree: PhD, Aerospace Engineering Sciences, 2010, University of Colorado

URL: https://scholar.colorado.edu/asen_gradetds/11

► Current astrodynamics applications require a rapid evaluation of the gravity field and an efficient approach to gravity estimation. The commonly used spherical harmonic model…
(more)

Subjects/Keywords: asteroid; gravity estimation; gravity modeling; orbit determination; orbit propagation; spherical harmonics; Aerospace Engineering; Astrodynamics

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APA (6^{th} Edition):

Jones, B. A. (2010). Efficient Models for the Evaluation and Estimation of the Gravity Field. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/asen_gradetds/11

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

Jones, Brandon Allan. “Efficient Models for the Evaluation and Estimation of the Gravity Field.” 2010. Doctoral Dissertation, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/asen_gradetds/11.

MLA Handbook (7^{th} Edition):

Jones, Brandon Allan. “Efficient Models for the Evaluation and Estimation of the Gravity Field.” 2010. Web. 28 Feb 2021.

Vancouver:

Jones BA. Efficient Models for the Evaluation and Estimation of the Gravity Field. [Internet] [Doctoral dissertation]. University of Colorado; 2010. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/asen_gradetds/11.

Council of Science Editors:

Jones BA. Efficient Models for the Evaluation and Estimation of the Gravity Field. [Doctoral Dissertation]. University of Colorado; 2010. Available from: https://scholar.colorado.edu/asen_gradetds/11

University of Colorado

5. Damle, Anil. Near Optimal Rational Approximations of Large Data Sets.

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

URL: https://scholar.colorado.edu/appm_gradetds/16

► We introduce a new computationally efficient algorithm for constructing near optimal rational approximations of large data sets. In contrast to wavelet-type approximations often used…
(more)

Subjects/Keywords: Approximation by rational functions; Applied Mathematics

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APA (6^{th} Edition):

Damle, A. (2011). Near Optimal Rational Approximations of Large Data Sets. (Masters Thesis). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/16

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

Damle, Anil. “Near Optimal Rational Approximations of Large Data Sets.” 2011. Masters Thesis, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/appm_gradetds/16.

MLA Handbook (7^{th} Edition):

Damle, Anil. “Near Optimal Rational Approximations of Large Data Sets.” 2011. Web. 28 Feb 2021.

Vancouver:

Damle A. Near Optimal Rational Approximations of Large Data Sets. [Internet] [Masters thesis]. University of Colorado; 2011. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/appm_gradetds/16.

Council of Science Editors:

Damle A. Near Optimal Rational Approximations of Large Data Sets. [Masters Thesis]. University of Colorado; 2011. Available from: https://scholar.colorado.edu/appm_gradetds/16

University of Colorado

6. Nixon, Sean David. Development and Applications of Soliton Perturbation Theory.

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

URL: https://scholar.colorado.edu/appm_gradetds/18

► This thesis examines the effects of small perturbation to soliton solutions of the nonlinear Schrödinger (NLS) equation on two fronts: the development of a…
(more)

Subjects/Keywords: Mode-locked lasers; Nonlinear Schrodinger equation; Nonlinear waves; Perturbation theory; Solitons; Applied Mathematics; Optics

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APA (6^{th} Edition):

Nixon, S. D. (2011). Development and Applications of Soliton Perturbation Theory. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/18

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

Nixon, Sean David. “Development and Applications of Soliton Perturbation Theory.” 2011. Doctoral Dissertation, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/appm_gradetds/18.

MLA Handbook (7^{th} Edition):

Nixon, Sean David. “Development and Applications of Soliton Perturbation Theory.” 2011. Web. 28 Feb 2021.

Vancouver:

Nixon SD. Development and Applications of Soliton Perturbation Theory. [Internet] [Doctoral dissertation]. University of Colorado; 2011. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/appm_gradetds/18.

Council of Science Editors:

Nixon SD. Development and Applications of Soliton Perturbation Theory. [Doctoral Dissertation]. University of Colorado; 2011. Available from: https://scholar.colorado.edu/appm_gradetds/18

University of Colorado

7. Gillman, Adrianna. Fast Direct Solvers for Elliptic Partial Differential Equations.

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

URL: https://scholar.colorado.edu/appm_gradetds/20

► The dissertation describes fast, robust, and highly accurate numerical methods for solving boundary value problems associated with elliptic PDEs such as Laplace's and Helmholtz'…
(more)

Subjects/Keywords: Fast methods; Linear algebra; Numerical Analysis; Partial Differential Equations; Applied Mathematics

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APA (6^{th} Edition):

Gillman, A. (2011). Fast Direct Solvers for Elliptic Partial Differential Equations. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/20

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

Gillman, Adrianna. “Fast Direct Solvers for Elliptic Partial Differential Equations.” 2011. Doctoral Dissertation, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/appm_gradetds/20.

MLA Handbook (7^{th} Edition):

Gillman, Adrianna. “Fast Direct Solvers for Elliptic Partial Differential Equations.” 2011. Web. 28 Feb 2021.

Vancouver:

Gillman A. Fast Direct Solvers for Elliptic Partial Differential Equations. [Internet] [Doctoral dissertation]. University of Colorado; 2011. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/appm_gradetds/20.

Council of Science Editors:

Gillman A. Fast Direct Solvers for Elliptic Partial Differential Equations. [Doctoral Dissertation]. University of Colorado; 2011. Available from: https://scholar.colorado.edu/appm_gradetds/20

University of Colorado

8. Mendoza, Cristian Rafael. Rays, Waves, and Separatrices.

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

URL: https://scholar.colorado.edu/appm_gradetds/77

► A qualitative study on the ray and wave dynamics of light in optical waveguides with separatrix geometry is presented herein. The thesis attempts to answer…
(more)

Subjects/Keywords: Electrical Engineering; Periodically Segmented Waveguides; Ray Analysis; Separatrix; Wave Analysis; Applied Mathematics; Optics; Physics

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APA (6^{th} Edition):

Mendoza, C. R. (2015). Rays, Waves, and Separatrices. (Masters Thesis). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/77

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

Mendoza, Cristian Rafael. “Rays, Waves, and Separatrices.” 2015. Masters Thesis, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/appm_gradetds/77.

MLA Handbook (7^{th} Edition):

Mendoza, Cristian Rafael. “Rays, Waves, and Separatrices.” 2015. Web. 28 Feb 2021.

Vancouver:

Mendoza CR. Rays, Waves, and Separatrices. [Internet] [Masters thesis]. University of Colorado; 2015. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/appm_gradetds/77.

Council of Science Editors:

Mendoza CR. Rays, Waves, and Separatrices. [Masters Thesis]. University of Colorado; 2015. Available from: https://scholar.colorado.edu/appm_gradetds/77

University of Colorado

9. 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 (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 February 28, 2021. 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. 28 Feb 2021.

Vancouver:

Benzaken JD. Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2021 Feb 28]. 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

10. Fairbanks, Hillary Ruth. Low-Rank, Multi-Fidelity Methods for Uncertainty Quantification of High-Dimensional Systems.

Degree: PhD, 2018, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/114

► Characterizing and incorporating uncertainties when simulating physical phenomena is essential for improving model-based predictions. These uncertainties may stem from a lack of knowledge regarding…
(more)

Subjects/Keywords: bi-fidelity approximations; low-rank approximations; multi-fidelity approximations; parametric model reduction; uncertainty quantification; Applied Mathematics; Models and Methods

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APA (6^{th} Edition):

Fairbanks, H. R. (2018). Low-Rank, Multi-Fidelity Methods for Uncertainty Quantification of High-Dimensional Systems. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/114

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

Fairbanks, Hillary Ruth. “Low-Rank, Multi-Fidelity Methods for Uncertainty Quantification of High-Dimensional Systems.” 2018. Doctoral Dissertation, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/appm_gradetds/114.

MLA Handbook (7^{th} Edition):

Fairbanks, Hillary Ruth. “Low-Rank, Multi-Fidelity Methods for Uncertainty Quantification of High-Dimensional Systems.” 2018. Web. 28 Feb 2021.

Vancouver:

Fairbanks HR. Low-Rank, Multi-Fidelity Methods for Uncertainty Quantification of High-Dimensional Systems. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/appm_gradetds/114.

Council of Science Editors:

Fairbanks HR. Low-Rank, Multi-Fidelity Methods for Uncertainty Quantification of High-Dimensional Systems. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/appm_gradetds/114

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 February 28, 2021. 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. 28 Feb 2021.

Vancouver:

Benzaken JD. Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2021 Feb 28]. 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

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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 February 28, 2021. 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. 28 Feb 2021.

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 2021 Feb 28]. 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. Biagioni, David Joseph. Numerical construction of Green’s functions in high dimensional elliptic problems with variable coefficients and analysis of renewable energy data via sparse and separable approximations.

Degree: PhD, Applied Mathematics, 2012, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/29

► This thesis consists of two parts. In Part I, we describe an algorithm for approximating the Green's function for elliptic problems with variable coefficients…
(more)

Subjects/Keywords: Curse of dimensionality; Direct Poisson solver; High dimensional partial differential equations; Numerical analysis; Randomized canonical tensor decomposition; Separated representations; Applied Mathematics

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APA (6^{th} Edition):

Biagioni, D. J. (2012). Numerical construction of Green’s functions in high dimensional elliptic problems with variable coefficients and analysis of renewable energy data via sparse and separable approximations. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/29

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

Biagioni, David Joseph. “Numerical construction of Green’s functions in high dimensional elliptic problems with variable coefficients and analysis of renewable energy data via sparse and separable approximations.” 2012. Doctoral Dissertation, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/appm_gradetds/29.

MLA Handbook (7^{th} Edition):

Biagioni, David Joseph. “Numerical construction of Green’s functions in high dimensional elliptic problems with variable coefficients and analysis of renewable energy data via sparse and separable approximations.” 2012. Web. 28 Feb 2021.

Vancouver:

Biagioni DJ. Numerical construction of Green’s functions in high dimensional elliptic problems with variable coefficients and analysis of renewable energy data via sparse and separable approximations. [Internet] [Doctoral dissertation]. University of Colorado; 2012. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/appm_gradetds/29.

Council of Science Editors:

Biagioni DJ. Numerical construction of Green’s functions in high dimensional elliptic problems with variable coefficients and analysis of renewable energy data via sparse and separable approximations. [Doctoral Dissertation]. University of Colorado; 2012. Available from: https://scholar.colorado.edu/appm_gradetds/29

University of Colorado

14. Reynolds, Matthew Jason. Nonlinear approximations in tomography, quadrature construction, and multivariate reductions.

Degree: PhD, Applied Mathematics, 2012, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/37

► This thesis consists of contributions to three topics: algorithms for computing generalized Gaussian quadratures, tomographic imaging algorithms, and reduction algorithms. Our approach is based…
(more)

Subjects/Keywords: Applied Mathematics

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APA (6^{th} Edition):

Reynolds, M. J. (2012). Nonlinear approximations in tomography, quadrature construction, and multivariate reductions. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/37

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

Reynolds, Matthew Jason. “Nonlinear approximations in tomography, quadrature construction, and multivariate reductions.” 2012. Doctoral Dissertation, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/appm_gradetds/37.

MLA Handbook (7^{th} Edition):

Reynolds, Matthew Jason. “Nonlinear approximations in tomography, quadrature construction, and multivariate reductions.” 2012. Web. 28 Feb 2021.

Vancouver:

Reynolds MJ. Nonlinear approximations in tomography, quadrature construction, and multivariate reductions. [Internet] [Doctoral dissertation]. University of Colorado; 2012. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/appm_gradetds/37.

Council of Science Editors:

Reynolds MJ. Nonlinear approximations in tomography, quadrature construction, and multivariate reductions. [Doctoral Dissertation]. University of Colorado; 2012. Available from: https://scholar.colorado.edu/appm_gradetds/37

University of Colorado

15. Lewis, Ryan D. Nonlinear Approximations in Filter Design and Wave Propagation.

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

URL: https://scholar.colorado.edu/appm_gradetds/47

► This thesis has two parts. In both parts we use nonlinear approximations to obtain accurate solutions to problems where traditional numerical approaches rapidly become…
(more)

Subjects/Keywords: approximation by Gaussians; digital filter design; optimal rational approximation; Rayleigh-Sommerfeld integral; Applied Mathematics

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APA (6^{th} Edition):

Lewis, R. D. (2013). Nonlinear Approximations in Filter Design and Wave Propagation. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/47

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

Lewis, Ryan D. “Nonlinear Approximations in Filter Design and Wave Propagation.” 2013. Doctoral Dissertation, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/appm_gradetds/47.

MLA Handbook (7^{th} Edition):

Lewis, Ryan D. “Nonlinear Approximations in Filter Design and Wave Propagation.” 2013. Web. 28 Feb 2021.

Vancouver:

Lewis RD. Nonlinear Approximations in Filter Design and Wave Propagation. [Internet] [Doctoral dissertation]. University of Colorado; 2013. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/appm_gradetds/47.

Council of Science Editors:

Lewis RD. Nonlinear Approximations in Filter Design and Wave Propagation. [Doctoral Dissertation]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/appm_gradetds/47

University of Colorado

16. Feldhacker, Juliana D. Incorporating Uncertainty into Spacecraft Mission and Trajectory Design.

Degree: PhD, Aerospace Engineering Sciences, 2016, University of Colorado

URL: https://scholar.colorado.edu/asen_gradetds/135

► The complex nature of many astrodynamic systems often leads to high computational costs or degraded accuracy in the analysis and design of spacecraft missions,…
(more)

Subjects/Keywords: mission design; optimization under uncertainty; robust design; trajectory optimization; uncertainty quantification; Aerospace Engineering

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APA (6^{th} Edition):

Feldhacker, J. D. (2016). Incorporating Uncertainty into Spacecraft Mission and Trajectory Design. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/asen_gradetds/135

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

Feldhacker, Juliana D. “Incorporating Uncertainty into Spacecraft Mission and Trajectory Design.” 2016. Doctoral Dissertation, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/asen_gradetds/135.

MLA Handbook (7^{th} Edition):

Feldhacker, Juliana D. “Incorporating Uncertainty into Spacecraft Mission and Trajectory Design.” 2016. Web. 28 Feb 2021.

Vancouver:

Feldhacker JD. Incorporating Uncertainty into Spacecraft Mission and Trajectory Design. [Internet] [Doctoral dissertation]. University of Colorado; 2016. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/asen_gradetds/135.

Council of Science Editors:

Feldhacker JD. Incorporating Uncertainty into Spacecraft Mission and Trajectory Design. [Doctoral Dissertation]. University of Colorado; 2016. Available from: https://scholar.colorado.edu/asen_gradetds/135

University of Colorado

17. Gehly, Steven. Estimation of Geosynchronous Space Objects Using Finite Set Statistics Filtering Methods.

Degree: PhD, Aerospace Engineering Sciences, 2016, University of Colorado

URL: https://scholar.colorado.edu/asen_gradetds/148

► The use of near Earth space has increased dramatically in the past few decades, and operational satellites are an integral part of modern society. The…
(more)

Subjects/Keywords: Geosynchronous Orbit; Information Gain; Initial Orbit Determination; Multitarget Filtering; Random Finite Sets; Sensor Allocation; Aerospace Engineering

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

APA (6^{th} Edition):

Gehly, S. (2016). Estimation of Geosynchronous Space Objects Using Finite Set Statistics Filtering Methods. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/asen_gradetds/148

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

Gehly, Steven. “Estimation of Geosynchronous Space Objects Using Finite Set Statistics Filtering Methods.” 2016. Doctoral Dissertation, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/asen_gradetds/148.

MLA Handbook (7^{th} Edition):

Gehly, Steven. “Estimation of Geosynchronous Space Objects Using Finite Set Statistics Filtering Methods.” 2016. Web. 28 Feb 2021.

Vancouver:

Gehly S. Estimation of Geosynchronous Space Objects Using Finite Set Statistics Filtering Methods. [Internet] [Doctoral dissertation]. University of Colorado; 2016. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/asen_gradetds/148.

Council of Science Editors:

Gehly S. Estimation of Geosynchronous Space Objects Using Finite Set Statistics Filtering Methods. [Doctoral Dissertation]. University of Colorado; 2016. Available from: https://scholar.colorado.edu/asen_gradetds/148

University of Colorado

18. 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 February 28, 2021. https://scholar.colorado.edu/appm_gradetds/93.

MLA Handbook (7^{th} Edition):

Satkauskas, Ignas V. “Numerical Calculus of Probability Density Functions.” 2017. Web. 28 Feb 2021.

Vancouver:

Satkauskas IV. Numerical Calculus of Probability Density Functions. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2021 Feb 28]. 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

19. 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 February 28, 2021. https://scholar.colorado.edu/appm_gradetds/106.

MLA Handbook (7^{th} Edition):

Yang, Xinshuo. “Reduction of Multivariate Mixtures and Its Applications.” 2018. Web. 28 Feb 2021.

Vancouver:

Yang X. Reduction of Multivariate Mixtures and Its Applications. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2021 Feb 28]. 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

20. Heavner, Nathan. Building Rank-Revealing Factorizations with Randomization.

Degree: PhD, 2019, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/155

► This thesis describes a set of randomized algorithms for computing rank revealing factorizations of matrices. These algorithms are designed specifically to minimize the amount…
(more)

Subjects/Keywords: linear algebra; matrix factorizations; randomization; rank-revealing factorizations; Applied Mathematics

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

APA (6^{th} Edition):

Heavner, N. (2019). Building Rank-Revealing Factorizations with Randomization. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/155

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

Heavner, Nathan. “Building Rank-Revealing Factorizations with Randomization.” 2019. Doctoral Dissertation, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/appm_gradetds/155.

MLA Handbook (7^{th} Edition):

Heavner, Nathan. “Building Rank-Revealing Factorizations with Randomization.” 2019. Web. 28 Feb 2021.

Vancouver:

Heavner N. Building Rank-Revealing Factorizations with Randomization. [Internet] [Doctoral dissertation]. University of Colorado; 2019. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/appm_gradetds/155.

Council of Science Editors:

Heavner N. Building Rank-Revealing Factorizations with Randomization. [Doctoral Dissertation]. University of Colorado; 2019. Available from: https://scholar.colorado.edu/appm_gradetds/155

University of Colorado

21. Kaslovsky, Daniel N. Geometric Sparsity in High Dimension.

Degree: PhD, Mathematics, 2012, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/15

► While typically complex and high-dimensional, modern data sets often have a concise underlying structure. This thesis explores the sparsity inherent in the geometric structure…
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Subjects/Keywords: Geometry; High-dimensional data; Noise; Sparsity; Applied Mathematics

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

APA (6^{th} Edition):

Kaslovsky, D. N. (2012). Geometric Sparsity in High Dimension. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/15

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

Kaslovsky, Daniel N. “Geometric Sparsity in High Dimension.” 2012. Doctoral Dissertation, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/math_gradetds/15.

MLA Handbook (7^{th} Edition):

Kaslovsky, Daniel N. “Geometric Sparsity in High Dimension.” 2012. Web. 28 Feb 2021.

Vancouver:

Kaslovsky DN. Geometric Sparsity in High Dimension. [Internet] [Doctoral dissertation]. University of Colorado; 2012. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/math_gradetds/15.

Council of Science Editors:

Kaslovsky DN. Geometric Sparsity in High Dimension. [Doctoral Dissertation]. University of Colorado; 2012. Available from: https://scholar.colorado.edu/math_gradetds/15

University of Colorado

22. Nejadmalayeri, Alireza. Hierarchical Multiscale Adaptive Variable Fidelity Wavelet-based Turbulence Modeling with Lagrangian Spatially Variable Thresholding.

Degree: PhD, Mechanical Engineering, 2012, University of Colorado

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

► The current work develops a wavelet-based adaptive variable fidelity approach that integrates Wavelet-based Direct Numerical Simulation (WDNS), Coherent Vortex Simulations (CVS), and Stochastic Coherent…
(more)

Subjects/Keywords: 3D homogeneous turbulence; hierarchical multiscale space/time adaptive variable fidelity; intermittency and fractal-dimension in turbulence; Lagrangian spatially variable thresholding; Reynolds scaling and computational complexity; wavelets; Aerospace Engineering; Mechanical Engineering

Record Details Similar Records

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

APA (6^{th} Edition):

Nejadmalayeri, A. (2012). Hierarchical Multiscale Adaptive Variable Fidelity Wavelet-based Turbulence Modeling with Lagrangian Spatially Variable Thresholding. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/mcen_gradetds/42

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

Nejadmalayeri, Alireza. “Hierarchical Multiscale Adaptive Variable Fidelity Wavelet-based Turbulence Modeling with Lagrangian Spatially Variable Thresholding.” 2012. Doctoral Dissertation, University of Colorado. Accessed February 28, 2021. https://scholar.colorado.edu/mcen_gradetds/42.

MLA Handbook (7^{th} Edition):

Nejadmalayeri, Alireza. “Hierarchical Multiscale Adaptive Variable Fidelity Wavelet-based Turbulence Modeling with Lagrangian Spatially Variable Thresholding.” 2012. Web. 28 Feb 2021.

Vancouver:

Nejadmalayeri A. Hierarchical Multiscale Adaptive Variable Fidelity Wavelet-based Turbulence Modeling with Lagrangian Spatially Variable Thresholding. [Internet] [Doctoral dissertation]. University of Colorado; 2012. [cited 2021 Feb 28]. Available from: https://scholar.colorado.edu/mcen_gradetds/42.

Council of Science Editors:

Nejadmalayeri A. Hierarchical Multiscale Adaptive Variable Fidelity Wavelet-based Turbulence Modeling with Lagrangian Spatially Variable Thresholding. [Doctoral Dissertation]. University of Colorado; 2012. Available from: https://scholar.colorado.edu/mcen_gradetds/42