Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014: Selected papers from the ICOSAHOM conference, June 23-27, 2014, Salt Lake City, Utah, USA

Front Matter....Pages i-xi
Front Matter....Pages 1-1
Strong Stability Preserving Time Discretizations: A Review....Pages 3-15
Solving PDEs with Hermite Interpolation....Pages 17-30
High-Order Adaptive Galerkin Methods....Pages 31-49
Nonlinear Elasticity for Mesh Deformation with High-Order Discontinuous Galerkin Methods for the Navier-Stokes Equations on Deforming Domains....Pages 51-72
Exploiting Superconvergence Through Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering....Pages 73-85
Computational Comparison of Continuous and Discontinuous Galerkin Time-Stepping Methods for Nonlinear Initial Value Problems....Pages 87-102
Front Matter....Pages 103-114
Recovering Piecewise Smooth Functions from Nonuniform Fourier Measurements....Pages 115-115
A Parallel-in-Time-and-Space HPC Framework for a Class of Fractional Evolution Equations....Pages 117-125
High-Order Upwind Methods for Wave Equations on Curvilinear and Overlapping Grids....Pages 127-135
Well-Posedness, Stability and Conservation for a Discontinuous Interface Problem: An Initial Investigation....Pages 137-145
An Adaptive Fourier Filter for Relaxing Time Stepping Constraints for Explicit Solvers....Pages 147-155
High Order Finite Difference Schemes for the Heat Equation Whose Convergence Rates are Higher Than Their Truncation Errors....Pages 157-166
Hybrid Compact-WENO Finite Difference Scheme For Detonation Waves Simulations....Pages 167-178
Higher Order Accurate Solutions for Flow in a Cavity: Experiences and Lessons Learned....Pages 179-187
On the Solution of the Elliptic Interface Problems by Difference Potentials Method....Pages 189-196
Generalized Summation by Parts Operators: Second Derivative and Time-Marching Methods....Pages 197-205
3D Viscoelastic Anisotropic Seismic Modeling with High-Order Mimetic Finite Differences....Pages 207-215
A Locally Conservative High-Order Least-Squares Formulation in Curvilinear Coordinates....Pages 217-225
Nonlinear Compact Finite-Difference Schemes with Semi-Implicit Time Stepping....Pages 227-235
Front Matter....Pages 237-245
Unsteady Simulations of Rotor Stator Interactions Using SBP-SAT Schemes: Status and Challenges....Pages 115-115
Degree and Wavenumber [In]dependence of Schwarz Preconditioner for the DPG Method....Pages 247-255
An HDG Method for Unsteady Compressible Flows....Pages 257-265
Thermal Boundary Condition of First Type in Fourier Pseudospectral Method....Pages 267-274
Numerical Dissipation Control in High Order Shock-Capturing Schemes for LES of Low Speed Flows....Pages 275-283
A Sub-cell Discretization Method for the Convective Terms in the Incompressible Navier-Stokes Equations....Pages 285-293
Localization in Spatial-Spectral Method for Water Wave Applications....Pages 295-303
Sparse Modal Tau-Method for Helical Binary Neutron Stars....Pages 305-313
Uniformly Best Wavenumber Approximations by Spatial Central Difference Operators: An Initial Investigation....Pages 315-323
Efficient Fully Discrete Summation-by-Parts Schemes for Unsteady Flow Problems: An Initial Investigation....Pages 325-333
Physics-Based Stabilization of Spectral Elements for the 3D Euler Equations of Moist Atmospheric Convection....Pages 335-343
High-Order Finite-Differences on Multi-threaded Architectures Using OCCA....Pages 345-353
Modified Equation Analysis for the Discontinuous Galerkin Formulation....Pages 355-363
Fully Discrete Energy Stable High Order Finite Difference Methods for Hyperbolic Problems in Deforming Domains....Pages 365-373
Stabilized Spectral Element Approximation of the Saint Venant System Using the Entropy Viscosity Technique....Pages 375-383
A Windowed Fourier Method for Approximation of Non-periodic Functions on Equispaced Nodes....Pages 385-395
Smoothness-Increasing Accuracy-Conserving (SIAC) Filters in Fourier Space....Pages 397-404
Algorithms for Higher-Order Mimetic Operators....Pages 405-413
Front Matter....Pages 415-423
Higher Order Quasi Monte-Carlo Integration in Uncertainty Quantification....Pages 425-434
Summation by Parts Finite Difference Approximations for Seismic and Seismo-Acoustic Computations....Pages 435-443
Transparent Boundary Conditions for the Wave Equation: High-Order Approximation and Coupling with Characteristic NRBCs....Pages 115-115
Comparison of Clenshaw–Curtis and Leja Quasi-Optimal Sparse Grids for the Approximation of Random PDEs....Pages 445-453
From Rankine-Hugoniot Condition to a Constructive Derivation of HDG Methods....Pages 455-463
Numerical Simulation of Two-Phase Flows Using Fourier Pseudospectral Method....Pages 465-473
Multiwavelets and Jumps in DG Approximations....Pages 475-482
Efficient and High-Order Explicit Local Time Stepping on Moving DG Spectral Element Meshes....Pages 483-491
Back Matter....Pages 493-501
....Pages 503-511