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University of Colorado

1. DeSalvo, Jason A. A Cross Section of Oscillator Dynamics.

Degree: MS, Applied Mathematics, 2010, University of Colorado

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

► The goal of this research is to explore criteria sufficient to produce oscillations, sample some dynamical systems that oscillate, and investigate synchronization. A discussion…
(more)

Subjects/Keywords: Duffing; Dynamics; Oscillators; Synchronization; Van der Pol; Applied Mathematics

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

APA (6^{th} Edition):

DeSalvo, J. A. (2010). A Cross Section of Oscillator Dynamics. (Masters Thesis). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/11

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

DeSalvo, Jason A. “A Cross Section of Oscillator Dynamics.” 2010. Masters Thesis, University of Colorado. Accessed January 26, 2021. https://scholar.colorado.edu/appm_gradetds/11.

MLA Handbook (7^{th} Edition):

DeSalvo, Jason A. “A Cross Section of Oscillator Dynamics.” 2010. Web. 26 Jan 2021.

Vancouver:

DeSalvo JA. A Cross Section of Oscillator Dynamics. [Internet] [Masters thesis]. University of Colorado; 2010. [cited 2021 Jan 26]. Available from: https://scholar.colorado.edu/appm_gradetds/11.

Council of Science Editors:

DeSalvo JA. A Cross Section of Oscillator Dynamics. [Masters Thesis]. University of Colorado; 2010. Available from: https://scholar.colorado.edu/appm_gradetds/11

University of Colorado

2. Aguiar, Izabel Pirimai. Dynamic Active Subspaces: a Data-Driven Approach to Computing Time-Dependent Active Subspaces in Dynamical Systems.

Degree: MS, 2018, University of Colorado

URL: https://scholar.colorado.edu/csci_gradetds/169

► Computational models are aiding in the advancement of science – from biological, to engineering, to social systems. To trust the predictions of computational models, however,…
(more)

Subjects/Keywords: active subspaces; dimension reduction; dynamical systems; mathematical biology; sensitivity analysis; uncertainty quantification; Applied Mathematics; Computer Sciences

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

APA (6^{th} Edition):

Aguiar, I. P. (2018). Dynamic Active Subspaces: a Data-Driven Approach to Computing Time-Dependent Active Subspaces in Dynamical Systems. (Masters Thesis). University of Colorado. Retrieved from https://scholar.colorado.edu/csci_gradetds/169

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

Aguiar, Izabel Pirimai. “Dynamic Active Subspaces: a Data-Driven Approach to Computing Time-Dependent Active Subspaces in Dynamical Systems.” 2018. Masters Thesis, University of Colorado. Accessed January 26, 2021. https://scholar.colorado.edu/csci_gradetds/169.

MLA Handbook (7^{th} Edition):

Aguiar, Izabel Pirimai. “Dynamic Active Subspaces: a Data-Driven Approach to Computing Time-Dependent Active Subspaces in Dynamical Systems.” 2018. Web. 26 Jan 2021.

Vancouver:

Aguiar IP. Dynamic Active Subspaces: a Data-Driven Approach to Computing Time-Dependent Active Subspaces in Dynamical Systems. [Internet] [Masters thesis]. University of Colorado; 2018. [cited 2021 Jan 26]. Available from: https://scholar.colorado.edu/csci_gradetds/169.

Council of Science Editors:

Aguiar IP. Dynamic Active Subspaces: a Data-Driven Approach to Computing Time-Dependent Active Subspaces in Dynamical Systems. [Masters Thesis]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/csci_gradetds/169

University of Colorado

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

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 January 26, 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. 26 Jan 2021.

Vancouver:

Damle A. Near Optimal Rational Approximations of Large Data Sets. [Internet] [Masters thesis]. University of Colorado; 2011. [cited 2021 Jan 26]. 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

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

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 January 26, 2021. 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. 26 Jan 2021.

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 2021 Jan 26]. 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

5. Alexander, Zachary. A Topology-Based Approach for Nonlinear Time Series with Applications in Computer Performance Analysis.

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

URL: https://scholar.colorado.edu/appm_gradetds/24

► We present a topology-based methodology for the analysis of experimental data generated by a discrete-time, nonlinear dynamical system. This methodology has significant applications in…
(more)

Subjects/Keywords: Applied Mathematics; Computer Sciences

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

APA (6^{th} Edition):

Alexander, Z. (2012). A Topology-Based Approach for Nonlinear Time Series with Applications in Computer Performance Analysis. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/24

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

Alexander, Zachary. “A Topology-Based Approach for Nonlinear Time Series with Applications in Computer Performance Analysis.” 2012. Doctoral Dissertation, University of Colorado. Accessed January 26, 2021. https://scholar.colorado.edu/appm_gradetds/24.

MLA Handbook (7^{th} Edition):

Alexander, Zachary. “A Topology-Based Approach for Nonlinear Time Series with Applications in Computer Performance Analysis.” 2012. Web. 26 Jan 2021.

Vancouver:

Alexander Z. A Topology-Based Approach for Nonlinear Time Series with Applications in Computer Performance Analysis. [Internet] [Doctoral dissertation]. University of Colorado; 2012. [cited 2021 Jan 26]. Available from: https://scholar.colorado.edu/appm_gradetds/24.

Council of Science Editors:

Alexander Z. A Topology-Based Approach for Nonlinear Time Series with Applications in Computer Performance Analysis. [Doctoral Dissertation]. University of Colorado; 2012. Available from: https://scholar.colorado.edu/appm_gradetds/24

University of Colorado

6. Bertrand, Nicholas. Sparse Encoding of Observations from a Smooth Manifold via Locally Linear Approximations.

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

URL: https://scholar.colorado.edu/appm_gradetds/55

► We investigate the problem of finding a parameterization of a smooth, low-dimensional manifold based on noisy observations from a high-dimensional ambient space. The formulation…
(more)

Subjects/Keywords: k-svd algorithm; MLBF; Applied Mathematics

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

APA (6^{th} Edition):

Bertrand, N. (2012). Sparse Encoding of Observations from a Smooth Manifold via Locally Linear Approximations. (Masters Thesis). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/55

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

Bertrand, Nicholas. “Sparse Encoding of Observations from a Smooth Manifold via Locally Linear Approximations.” 2012. Masters Thesis, University of Colorado. Accessed January 26, 2021. https://scholar.colorado.edu/appm_gradetds/55.

MLA Handbook (7^{th} Edition):

Bertrand, Nicholas. “Sparse Encoding of Observations from a Smooth Manifold via Locally Linear Approximations.” 2012. Web. 26 Jan 2021.

Vancouver:

Bertrand N. Sparse Encoding of Observations from a Smooth Manifold via Locally Linear Approximations. [Internet] [Masters thesis]. University of Colorado; 2012. [cited 2021 Jan 26]. Available from: https://scholar.colorado.edu/appm_gradetds/55.

Council of Science Editors:

Bertrand N. Sparse Encoding of Observations from a Smooth Manifold via Locally Linear Approximations. [Masters Thesis]. University of Colorado; 2012. Available from: https://scholar.colorado.edu/appm_gradetds/55

University of Colorado

7. Blakestad, Clifford. On Generalizations of p-Adic Weierstrass Sigma and Zeta Functions.

Degree: PhD, 2018, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/56

► We generalize a paper of Mazur and Tate on p-adic sigma functions attached to elliptic curves of ordinary reduction over a <i>p</i>-adic field. We…
(more)

Subjects/Keywords: abelian surface; abelian variety; arithmetic geometry; genus two curve; number theory; p-adic; Mathematics; Special Functions

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

APA (6^{th} Edition):

Blakestad, C. (2018). On Generalizations of p-Adic Weierstrass Sigma and Zeta Functions. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/56

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

Blakestad, Clifford. “On Generalizations of p-Adic Weierstrass Sigma and Zeta Functions.” 2018. Doctoral Dissertation, University of Colorado. Accessed January 26, 2021. https://scholar.colorado.edu/math_gradetds/56.

MLA Handbook (7^{th} Edition):

Blakestad, Clifford. “On Generalizations of p-Adic Weierstrass Sigma and Zeta Functions.” 2018. Web. 26 Jan 2021.

Vancouver:

Blakestad C. On Generalizations of p-Adic Weierstrass Sigma and Zeta Functions. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2021 Jan 26]. Available from: https://scholar.colorado.edu/math_gradetds/56.

Council of Science Editors:

Blakestad C. On Generalizations of p-Adic Weierstrass Sigma and Zeta Functions. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/math_gradetds/56

University of Colorado

8. Kumley, Kendra L. Effect of Parameter Variations on the Electromagnetic Response of a Metafilm Comprised of Resonant Elements.

Degree: PhD, 2018, University of Colorado

URL: https://scholar.colorado.edu/ecen_gradetds/157

► A metafilm is a 2-dimensional version of a metamaterial which consists of a single layer of resonators. The elements resonate with changes in frequency and…
(more)

Subjects/Keywords: array; fano; metafilm; metamaterial; periodic; resonator; Electrical and Computer Engineering; Electromagnetics and Photonics

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

APA (6^{th} Edition):

Kumley, K. L. (2018). Effect of Parameter Variations on the Electromagnetic Response of a Metafilm Comprised of Resonant Elements. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/ecen_gradetds/157

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

Kumley, Kendra L. “Effect of Parameter Variations on the Electromagnetic Response of a Metafilm Comprised of Resonant Elements.” 2018. Doctoral Dissertation, University of Colorado. Accessed January 26, 2021. https://scholar.colorado.edu/ecen_gradetds/157.

MLA Handbook (7^{th} Edition):

Kumley, Kendra L. “Effect of Parameter Variations on the Electromagnetic Response of a Metafilm Comprised of Resonant Elements.” 2018. Web. 26 Jan 2021.

Vancouver:

Kumley KL. Effect of Parameter Variations on the Electromagnetic Response of a Metafilm Comprised of Resonant Elements. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2021 Jan 26]. Available from: https://scholar.colorado.edu/ecen_gradetds/157.

Council of Science Editors:

Kumley KL. Effect of Parameter Variations on the Electromagnetic Response of a Metafilm Comprised of Resonant Elements. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/ecen_gradetds/157

University of Colorado

9. Fox, Adam Merritt. Destruction of Invariant Tori in Volume-Preserving Maps.

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

URL: https://scholar.colorado.edu/appm_gradetds/36

► Invariant rotational tori play an important role in the dynamics of volume-preserving maps. When integrable, all orbits lie on these tori and KAM theory…
(more)

Subjects/Keywords: KAM theory; Greene's residue criterion; near-critical conjugacies; Applied Mathematics

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

APA (6^{th} Edition):

Fox, A. M. (2013). Destruction of Invariant Tori in Volume-Preserving Maps. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/36

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

Fox, Adam Merritt. “Destruction of Invariant Tori in Volume-Preserving Maps.” 2013. Doctoral Dissertation, University of Colorado. Accessed January 26, 2021. https://scholar.colorado.edu/appm_gradetds/36.

MLA Handbook (7^{th} Edition):

Fox, Adam Merritt. “Destruction of Invariant Tori in Volume-Preserving Maps.” 2013. Web. 26 Jan 2021.

Vancouver:

Fox AM. Destruction of Invariant Tori in Volume-Preserving Maps. [Internet] [Doctoral dissertation]. University of Colorado; 2013. [cited 2021 Jan 26]. Available from: https://scholar.colorado.edu/appm_gradetds/36.

Council of Science Editors:

Fox AM. Destruction of Invariant Tori in Volume-Preserving Maps. [Doctoral Dissertation]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/appm_gradetds/36

University of Colorado

10. Mullen, Zachary. Theory and Methods for Large Spatial Data.

Degree: PhD, 2018, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/105

► Correlated Gaussian processes are of central importance to the study of time series, spatial statistics, computer experiments, and many machine learning models. Large spatially…
(more)

Subjects/Keywords: circular data; equivalent kernel; gaussian processes; spatial statistics; stochastic weather generators; wind modeling; Applied Mathematics; Statistical Theory

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

APA (6^{th} Edition):

Mullen, Z. (2018). Theory and Methods for Large Spatial Data. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/105

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

Mullen, Zachary. “Theory and Methods for Large Spatial Data.” 2018. Doctoral Dissertation, University of Colorado. Accessed January 26, 2021. https://scholar.colorado.edu/appm_gradetds/105.

MLA Handbook (7^{th} Edition):

Mullen, Zachary. “Theory and Methods for Large Spatial Data.” 2018. Web. 26 Jan 2021.

Vancouver:

Mullen Z. Theory and Methods for Large Spatial Data. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2021 Jan 26]. Available from: https://scholar.colorado.edu/appm_gradetds/105.

Council of Science Editors:

Mullen Z. Theory and Methods for Large Spatial Data. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/appm_gradetds/105