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Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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Thumbnail for Boundary conditions and …

Boundary conditions and applications of WENO finite difference schemes for hyperbolic problems

Thumbnail for Confluence in Chip-Firing …

Confluence in Chip-Firing and Related Combinatorial Processes

Thumbnail for Discontinuous Galerkin Methods …

Discontinuous Galerkin Methods for Convection Diffusion Equations: Positivity Preserving and Multi-scale Resolution

Thumbnail for Discontinuous Galerkin Methods …

Discontinuous Galerkin Methods for Wave Equations: the MLP Estimator for the TVB Constant in Limiters and Local DG Methods for a Carpet Cloak Model

Thumbnail for Discontinuous Galerkin Methods: …

Discontinuous Galerkin Methods: Stability of Time Discretizations and Applications to Gradient Flows

Thumbnail for High order numerical …

High order numerical methods for hyperbolic equations: superconvergence, and applications to δ-singularities and cosmology

Thumbnail for Message Passing Dynamics …

Message Passing Dynamics of Belief Propagation Algorithms

Thumbnail for Multigrid and Domain …

Multigrid and Domain Decomposition Methods in Fault-Prone Environments

Thumbnail for Novel optimization algorithms …

Novel optimization algorithms for evaluating solution to certain high dimension (multi-time) Hamilton-Jacobi PDEs arising from optimal control

Thumbnail for Numerical Methods for …

Numerical Methods for Fluid-Structure Interaction: Analysis and Simulations

Thumbnail for Numerical Methods for …

Numerical Methods for Hyperbolic Equations: Generalized Definition of Local Conservation and Discontinuous Galerkin Methods for Maxwell's equations in Drude Metamaterials

Thumbnail for Positivity-Preserving High-Order Discontinuous …

Positivity-Preserving High-Order Discontinuous Galerkin Methods: Implicit Time Stepping and Applications to Relativistic Hydrodynamics

Thumbnail for Recovering exponential accuracy …

Recovering exponential accuracy in spectral methods involving piecewise smooth functions with unbounded derivative singularities

Thumbnail for Reduced basis methods …

Reduced basis methods and their applications

Thumbnail for Wave Resolution Properties …

Wave Resolution Properties and Weighted Essentially Non-Oscillatory Limiter for Discontinuous Galerkin Methods

Items (1-15) out of 15 results