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Virginia Tech

1. Sinani, Klajdi. Iterative Rational Krylov Algorithm for Unstable Dynamical Systems and Genaralized Coprime Factorizations.

Degree: MS, Mathematics, 2016, Virginia Tech

URL: http://hdl.handle.net/10919/64425

► Generally, large-scale dynamical systems pose tremendous computational difficulties when applied in numerical simulations. In order to overcome these challenges we use several model reduction techniques.…
(more)

Subjects/Keywords: Model Reduction; Dynamical Systems; IRKA; Unstable Systems; Structure-preserving algorithms

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

APA (6^{th} Edition):

Sinani, K. (2016). Iterative Rational Krylov Algorithm for Unstable Dynamical Systems and Genaralized Coprime Factorizations. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/64425

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

Sinani, Klajdi. “Iterative Rational Krylov Algorithm for Unstable Dynamical Systems and Genaralized Coprime Factorizations.” 2016. Masters Thesis, Virginia Tech. Accessed October 15, 2019. http://hdl.handle.net/10919/64425.

MLA Handbook (7^{th} Edition):

Sinani, Klajdi. “Iterative Rational Krylov Algorithm for Unstable Dynamical Systems and Genaralized Coprime Factorizations.” 2016. Web. 15 Oct 2019.

Vancouver:

Sinani K. Iterative Rational Krylov Algorithm for Unstable Dynamical Systems and Genaralized Coprime Factorizations. [Internet] [Masters thesis]. Virginia Tech; 2016. [cited 2019 Oct 15]. Available from: http://hdl.handle.net/10919/64425.

Council of Science Editors:

Sinani K. Iterative Rational Krylov Algorithm for Unstable Dynamical Systems and Genaralized Coprime Factorizations. [Masters Thesis]. Virginia Tech; 2016. Available from: http://hdl.handle.net/10919/64425

Virginia Tech

2. Beach, Benjamin Josiah. An Implementation-Based Exploration of HAPOD: Hierarchical Approximate Proper Orthogonal Decomposition.

Degree: MS, Mathematics, 2018, Virginia Tech

URL: http://hdl.handle.net/10919/81938

► Proper Orthogonal Decomposition (POD), combined with the Method of Snapshots and Galerkin projection, is a popular method for the model order reduction of nonlinear PDEs.…
(more)

Subjects/Keywords: Reduced Order Modeling; Proper Orthogonal Decomposition; Truncated Singular Value Decomposition; Parallel Computing; Mine Fire Dynamics

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

APA (6^{th} Edition):

Beach, B. J. (2018). An Implementation-Based Exploration of HAPOD: Hierarchical Approximate Proper Orthogonal Decomposition. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/81938

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

Beach, Benjamin Josiah. “An Implementation-Based Exploration of HAPOD: Hierarchical Approximate Proper Orthogonal Decomposition.” 2018. Masters Thesis, Virginia Tech. Accessed October 15, 2019. http://hdl.handle.net/10919/81938.

MLA Handbook (7^{th} Edition):

Beach, Benjamin Josiah. “An Implementation-Based Exploration of HAPOD: Hierarchical Approximate Proper Orthogonal Decomposition.” 2018. Web. 15 Oct 2019.

Vancouver:

Beach BJ. An Implementation-Based Exploration of HAPOD: Hierarchical Approximate Proper Orthogonal Decomposition. [Internet] [Masters thesis]. Virginia Tech; 2018. [cited 2019 Oct 15]. Available from: http://hdl.handle.net/10919/81938.

Council of Science Editors:

Beach BJ. An Implementation-Based Exploration of HAPOD: Hierarchical Approximate Proper Orthogonal Decomposition. [Masters Thesis]. Virginia Tech; 2018. Available from: http://hdl.handle.net/10919/81938

Virginia Tech

3. Anakok, Isil. A Study on Steady State Traveling Waves in Strings and Rods.

Degree: MS, Mechanical Engineering, 2018, Virginia Tech

URL: http://hdl.handle.net/10919/83890

► The main focus of this present work is to study how mechanical steady state traveling waves can be generated and propagated through one dimensional media…
(more)

Subjects/Keywords: Traveling Waves; Vibrations; Two-force excitation; Cost Function; Strings; Bars; Rods

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

APA (6^{th} Edition):

Anakok, I. (2018). A Study on Steady State Traveling Waves in Strings and Rods. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/83890

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

Anakok, Isil. “A Study on Steady State Traveling Waves in Strings and Rods.” 2018. Masters Thesis, Virginia Tech. Accessed October 15, 2019. http://hdl.handle.net/10919/83890.

MLA Handbook (7^{th} Edition):

Anakok, Isil. “A Study on Steady State Traveling Waves in Strings and Rods.” 2018. Web. 15 Oct 2019.

Vancouver:

Anakok I. A Study on Steady State Traveling Waves in Strings and Rods. [Internet] [Masters thesis]. Virginia Tech; 2018. [cited 2019 Oct 15]. Available from: http://hdl.handle.net/10919/83890.

Council of Science Editors:

Anakok I. A Study on Steady State Traveling Waves in Strings and Rods. [Masters Thesis]. Virginia Tech; 2018. Available from: http://hdl.handle.net/10919/83890

Virginia Tech

4. Brennan, Michael C. Rational Interpolation Methods for Nonlinear Eigenvalue Problems.

Degree: MS, Mathematics, 2018, Virginia Tech

URL: http://hdl.handle.net/10919/84924

► This thesis investigates the numerical treatment of nonlinear eigenvalue problems. These problems are defined by the condition T(lambda) v = boldsymbol{0}, with T: C to…
(more)

Subjects/Keywords: Nonlinear Eigenvalue Problems; Contour Integration Methods; Iterative Methods; Dynamical Systems

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

APA (6^{th} Edition):

Brennan, M. C. (2018). Rational Interpolation Methods for Nonlinear Eigenvalue Problems. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/84924

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

Brennan, Michael C. “Rational Interpolation Methods for Nonlinear Eigenvalue Problems.” 2018. Masters Thesis, Virginia Tech. Accessed October 15, 2019. http://hdl.handle.net/10919/84924.

MLA Handbook (7^{th} Edition):

Brennan, Michael C. “Rational Interpolation Methods for Nonlinear Eigenvalue Problems.” 2018. Web. 15 Oct 2019.

Vancouver:

Brennan MC. Rational Interpolation Methods for Nonlinear Eigenvalue Problems. [Internet] [Masters thesis]. Virginia Tech; 2018. [cited 2019 Oct 15]. Available from: http://hdl.handle.net/10919/84924.

Council of Science Editors:

Brennan MC. Rational Interpolation Methods for Nonlinear Eigenvalue Problems. [Masters Thesis]. Virginia Tech; 2018. Available from: http://hdl.handle.net/10919/84924

Virginia Tech

5. Hasanyan, Jalil Davresh. Modeling and Analysis of a Moving Conductive String in a Magnetic Field.

Degree: MS, Mathematics, 2019, Virginia Tech

URL: http://hdl.handle.net/10919/87530

► A wide range of physical systems are modeled as axially moving strings; such examples are belts, tapes, wires and fibers with applied electromagnetic fields. In…
(more)

Subjects/Keywords: Current-carrying string; stability; modeling; magnetic field; resonance vibrations

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

APA (6^{th} Edition):

Hasanyan, J. D. (2019). Modeling and Analysis of a Moving Conductive String in a Magnetic Field. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/87530

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

Hasanyan, Jalil Davresh. “Modeling and Analysis of a Moving Conductive String in a Magnetic Field.” 2019. Masters Thesis, Virginia Tech. Accessed October 15, 2019. http://hdl.handle.net/10919/87530.

MLA Handbook (7^{th} Edition):

Hasanyan, Jalil Davresh. “Modeling and Analysis of a Moving Conductive String in a Magnetic Field.” 2019. Web. 15 Oct 2019.

Vancouver:

Hasanyan JD. Modeling and Analysis of a Moving Conductive String in a Magnetic Field. [Internet] [Masters thesis]. Virginia Tech; 2019. [cited 2019 Oct 15]. Available from: http://hdl.handle.net/10919/87530.

Council of Science Editors:

Hasanyan JD. Modeling and Analysis of a Moving Conductive String in a Magnetic Field. [Masters Thesis]. Virginia Tech; 2019. Available from: http://hdl.handle.net/10919/87530

Virginia Tech

6. Green, Jennifer Neal. Modeling spider webs as multilinked structures using a Chebyshev pseudospectral collocation method.

Degree: MS, Mathematics, 2018, Virginia Tech

URL: http://hdl.handle.net/10919/83564

► Spiders weave intricate webs for catching prey, providing shelter and setting mating rituals; arguably the most notable of these creations is the orb web. In…
(more)

Subjects/Keywords: Spider web; vibrations; Chebyshev collocation

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

APA (6^{th} Edition):

Green, J. N. (2018). Modeling spider webs as multilinked structures using a Chebyshev pseudospectral collocation method. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/83564

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

Green, Jennifer Neal. “Modeling spider webs as multilinked structures using a Chebyshev pseudospectral collocation method.” 2018. Masters Thesis, Virginia Tech. Accessed October 15, 2019. http://hdl.handle.net/10919/83564.

MLA Handbook (7^{th} Edition):

Green, Jennifer Neal. “Modeling spider webs as multilinked structures using a Chebyshev pseudospectral collocation method.” 2018. Web. 15 Oct 2019.

Vancouver:

Green JN. Modeling spider webs as multilinked structures using a Chebyshev pseudospectral collocation method. [Internet] [Masters thesis]. Virginia Tech; 2018. [cited 2019 Oct 15]. Available from: http://hdl.handle.net/10919/83564.

Council of Science Editors:

Green JN. Modeling spider webs as multilinked structures using a Chebyshev pseudospectral collocation method. [Masters Thesis]. Virginia Tech; 2018. Available from: http://hdl.handle.net/10919/83564

7. Swirydowicz, Katarzyna. Strategies For Recycling Krylov Subspace Methods and Bilinear Form Estimation.

Degree: PhD, Mathematics, 2017, Virginia Tech

URL: http://hdl.handle.net/10919/78695

► The main theme of this work is effectiveness and efficiency of Krylov subspace methods and Krylov subspace recycling. While solving long, slowly changing sequences of…
(more)

Subjects/Keywords: Bilinear form estimation; quadratic form estimation; sparse approximate inverse preconditioning; high performance computing; Krylov subspace recycling; diffuse optical tomography; topology optimization; computational fluid dynamics

…developed in the
Department of Mechanical Engineering at *Virginia* *Tech* [91]. The code is…

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

APA (6^{th} Edition):

Swirydowicz, K. (2017). Strategies For Recycling Krylov Subspace Methods and Bilinear Form Estimation. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/78695

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

Swirydowicz, Katarzyna. “Strategies For Recycling Krylov Subspace Methods and Bilinear Form Estimation.” 2017. Doctoral Dissertation, Virginia Tech. Accessed October 15, 2019. http://hdl.handle.net/10919/78695.

MLA Handbook (7^{th} Edition):

Swirydowicz, Katarzyna. “Strategies For Recycling Krylov Subspace Methods and Bilinear Form Estimation.” 2017. Web. 15 Oct 2019.

Vancouver:

Swirydowicz K. Strategies For Recycling Krylov Subspace Methods and Bilinear Form Estimation. [Internet] [Doctoral dissertation]. Virginia Tech; 2017. [cited 2019 Oct 15]. Available from: http://hdl.handle.net/10919/78695.

Council of Science Editors:

Swirydowicz K. Strategies For Recycling Krylov Subspace Methods and Bilinear Form Estimation. [Doctoral Dissertation]. Virginia Tech; 2017. Available from: http://hdl.handle.net/10919/78695

Virginia Tech

8. Grimm, Alexander Rudolf. Parametric Dynamical Systems: Transient Analysis and Data Driven Modeling.

Degree: PhD, Mathematics, 2018, Virginia Tech

URL: http://hdl.handle.net/10919/83840

► Dynamical systems are a commonly used and studied tool for simulation, optimization and design. In many applications such as inverse problem, optimal control, shape optimization…
(more)

Subjects/Keywords: Model Reduction; Interpolation; Approximation; Nonlinear Eigenvalue Problems; Least-Squares; Hardy Spaces; Discretization; Rational Approximation.

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

APA (6^{th} Edition):

Grimm, A. R. (2018). Parametric Dynamical Systems: Transient Analysis and Data Driven Modeling. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/83840

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

Grimm, Alexander Rudolf. “Parametric Dynamical Systems: Transient Analysis and Data Driven Modeling.” 2018. Doctoral Dissertation, Virginia Tech. Accessed October 15, 2019. http://hdl.handle.net/10919/83840.

MLA Handbook (7^{th} Edition):

Grimm, Alexander Rudolf. “Parametric Dynamical Systems: Transient Analysis and Data Driven Modeling.” 2018. Web. 15 Oct 2019.

Vancouver:

Grimm AR. Parametric Dynamical Systems: Transient Analysis and Data Driven Modeling. [Internet] [Doctoral dissertation]. Virginia Tech; 2018. [cited 2019 Oct 15]. Available from: http://hdl.handle.net/10919/83840.

Council of Science Editors:

Grimm AR. Parametric Dynamical Systems: Transient Analysis and Data Driven Modeling. [Doctoral Dissertation]. Virginia Tech; 2018. Available from: http://hdl.handle.net/10919/83840

Virginia Tech

9. Malladi, Vijaya Venkata Narasimha Sriram. Continual Traveling waves in Finite Structures :Theory, Simulations, and Experiments.

Degree: PhD, Mechanical Engineering, 2016, Virginia Tech

URL: http://hdl.handle.net/10919/81451

► A mechanical wave is generated as a result of an external force interacting with the well-defined medium and it propagates through that medium transferring energy…
(more)

Subjects/Keywords: Traveling Waves; Piezo-ceramics; Vibrations; Phase-selection; Dynamics; Actuation; Plates; Beams

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

APA (6^{th} Edition):

Malladi, V. V. N. S. (2016). Continual Traveling waves in Finite Structures :Theory, Simulations, and Experiments. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/81451

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

Malladi, Vijaya Venkata Narasimha Sriram. “Continual Traveling waves in Finite Structures :Theory, Simulations, and Experiments.” 2016. Doctoral Dissertation, Virginia Tech. Accessed October 15, 2019. http://hdl.handle.net/10919/81451.

MLA Handbook (7^{th} Edition):

Malladi, Vijaya Venkata Narasimha Sriram. “Continual Traveling waves in Finite Structures :Theory, Simulations, and Experiments.” 2016. Web. 15 Oct 2019.

Vancouver:

Malladi VVNS. Continual Traveling waves in Finite Structures :Theory, Simulations, and Experiments. [Internet] [Doctoral dissertation]. Virginia Tech; 2016. [cited 2019 Oct 15]. Available from: http://hdl.handle.net/10919/81451.

Council of Science Editors:

Malladi VVNS. Continual Traveling waves in Finite Structures :Theory, Simulations, and Experiments. [Doctoral Dissertation]. Virginia Tech; 2016. Available from: http://hdl.handle.net/10919/81451