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Numerical Methods Scientific Computing

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Numerical Methods Scientific Computing

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Research Frontiers in High-Order Discontinuous Galerkin Methods

Advanced finite element techniques allowing solutions with jumps across element boundaries to achieve superior accuracy for hyperbolic systems.

Entropy Stability in Shock-Capturing Discontinuous Galerkin Schemes
Superconvergence and Postprocessing in High-Order DG Discretizations
Implicit-Explicit Time Integration for Stiff DG Systems
Hybridized DG Methods and Static Condensation Hierarchies
Hp-Adaptivity Strategies for Discontinuous Galerkin Approximations
DG Discretizations of Nonlinear Conservation Laws with Dispersive Effects
Multiscale Coupling via Discontinuous Galerkin Flux Reconstruction
High-Order DG Methods on Curved and Moving Domains
Reduced-Order Modeling of DG-Discretized Parametric PDEs
Local Discontinuous Galerkin Methods for Singular Perturbation Problems

All Numerical Methods & Scientific Computing PhD categories