hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization Paul HoustonMax JensenEndre Süli OriginalPaper Pages: 3 - 25
Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives Jue YanChi-Wang Shu OriginalPaper Pages: 27 - 47
Divergence-Free Wavelet Analysis of Turbulent Flows Cem M. AlbukrekKarsten UrbanJohn L. Lumley OriginalPaper Pages: 49 - 66
Spectral Element Methods for Transitional Flows in Complex Geometries Paul F. FischerGerald W. KruseFrancis Loth OriginalPaper Pages: 81 - 98
Toward Non Commutative Numerical Analysis: High Order Integration in Time Michelle Schatzman OriginalPaper Pages: 99 - 116
A Discontinuous Spectral Element Model for Boussinesq-Type Equations C. EskilssonS. J. Sherwin OriginalPaper Pages: 143 - 152
An Auto-Adaptive Multidomain Spectral Technique for Linear Stability Analysis: Application to Viscous Compressible Flows Eric SerreSerge Gauthier OriginalPaper Pages: 153 - 165
Reducing the Effects of Noise in Image Reconstruction Rick ArchibaldA. Gelb OriginalPaper Pages: 167 - 180
Entropy Splitting for High Order Numerical Simulation of Vortex Sound at Low Mach Numbers Bernhard MüllerH. C. Yee OriginalPaper Pages: 181 - 190
A Robust Spectral Element Method for Simulations of Time-Dependent Viscoelastic Flows, Derived from the Brownian Configuration Field Method Cédric ChauvièreRobert G. Owens OriginalPaper Pages: 191 - 199
Preconditioned Uzawa Algorithm for the Velocity-Pressure-Stress Formulation of Viscoelastic Flow Problems X. EscrivaE. LericheT. N. Phillips OriginalPaper Pages: 201 - 210
Two Barriers on Strong-Stability-Preserving Time Discretization Methods Steven J. RuuthRaymond J. Spiteri OriginalPaper Pages: 211 - 220
Higher Order May Be Better or May Not Be Better: Investigations with the FDEM (Finite Difference Element Method) Willi SchönauerTorsten Adolph OriginalPaper Pages: 221 - 229
ADER: A High-Order Approach for Linear Hyperbolic Systems in 2D T. SchwartzkopffC. D. MunzE. F. Toro OriginalPaper Pages: 231 - 240
Deferred Correction Methods for Initial Boundary Value Problems Wendy KressBertil Gustafsson OriginalPaper Pages: 241 - 251
Application of Second Order TVD and WENO Schemes in Internal Aerodynamics Jiří FürstKarel Kozel OriginalPaper Pages: 253 - 262
Numerical Entropy Production on Shocks and Smooth Transitions Gabriella Puppo OriginalPaper Pages: 263 - 271
High-Order Algorithms for Large-Eddy Simulation of Incompressible Flows R. PasquettiC. J. Xu OriginalPaper Pages: 273 - 284
A Least-Squares Spectral Element Formulation for the Stokes Problem M. M. J. ProotM. I. Gerritsma OriginalPaper Pages: 285 - 296
Analysis of a Discontinuous Least Squares Spectral Element Method Marc I. GerritsmaMichael M. J. Proot OriginalPaper Pages: 297 - 306
Towards a Realization of a Wavelet Galerkin Method on Non-Trivial Domains Stefano BerroneLaurent Emmel OriginalPaper Pages: 307 - 317
Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation M. JardakC.-H. SuG. E. Karniadakis OriginalPaper Pages: 319 - 338
Semi-Implicit Spectral Element Atmospheric Model S. J. ThomasR. D. Loft OriginalPaper Pages: 339 - 350
Computation of Nonlinear Backscattering Using a High-Order Numerical Method G. FibichB. IlanS. Tsynkov OriginalPaper Pages: 351 - 364
A Pseudospectral Multi-Domain Method for the Incompressible Navier–Stokes Equations P. DrollM. Schäfer OriginalPaper Pages: 365 - 374
On the Simulation of Unsteady Flow of an Oldroyd-B Fluid by Spectral Methods Alexei LozinskiRobert G. OwensAlfio Quarteroni OriginalPaper Pages: 375 - 383
Adaptive Spectral Element Simulations of Thin Premixed Flame Sheet Deformations Huiyu FengCatherine Mavriplis OriginalPaper Pages: 385 - 395
A Numerical Investigation of High-Order Finite Elements for Problems of Elastoplasticity A. DüsterA. NigglE. Rank OriginalPaper Pages: 397 - 404
Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics S. AbarbanelD. GottliebJ. S. Hesthaven OriginalPaper Pages: 405 - 422
Stability Criteria for Finite Difference Approximations to Parabolic Systems—An Update Moshe GoldbergAnna Pidgirnyak OriginalPaper Pages: 423 - 435
A Priori Convergence Theory for Reduced-Basis Approximations of Single-Parameter Elliptic Partial Differential Equations Yvon MadayAnthony T. PateraGabriel Turinici OriginalPaper Pages: 437 - 446
Towards Reduced Basis Approaches in ab initio Electronic Structure Computations Eric CancèsClaude LeBrisGabriel Turinici OriginalPaper Pages: 461 - 469
A Hierarchical 3-D Poisson Modified Fourier Solver by Domain Decomposition Moshe IsraeliElena BravermanAmir Averbuch OriginalPaper Pages: 471 - 479
A Robust Multigrid Algorithm for the Simulation of a Yawed Flat Plate Ruben S. MonteroIgnacio M. LlorenteManuel D. Salas OriginalPaper Pages: 481 - 490
Absorbing Boundary Conditions of the Second Order for the Pseudospectral Chebyshev Methods for Wave Propagation A. GelbZ. JackiewiczB. D. Welfert OriginalPaper Pages: 501 - 512
Doubling the Degree of Precision Without Doubling the Grid When Solving a Differential Equation with a Pseudo-Spectral Collocation Method D. Dijkstra OriginalPaper Pages: 513 - 527
A Modified Fourier–Galerkin Method for the Poisson and Helmholtz Equations Ole F. NæssKnut S. Eckhoff OriginalPaper Pages: 529 - 539
Deferred Correction in Space and Time Bertil GustafssonLina Hemmingsson-Frändén OriginalPaper Pages: 541 - 550
A Compact Higher Order Finite Difference Method for the Incompressible Navier–Stokes Equations Arnim BrügerJonas NilssonWendy Kress OriginalPaper Pages: 551 - 560
An hp-Analysis of the Local Discontinuous Galerkin Method for Diffusion Problems Ilaria PerugiaDominik Schötzau OriginalPaper Pages: 561 - 571
A Spectral Element Projection Scheme for Incompressible Flow with Application to the Unsteady Axisymmetric Stokes Problem Mejdi Azaiez OriginalPaper Pages: 573 - 584
A Semi-Lagrangian Method for Turbulence Simulations Using Mixed Spectral Discretizations Jin XuDongbin XiuGeorge Em Karniadakis OriginalPaper Pages: 585 - 597
High Resolution Relaxed Upwind Schemes in Gas Dynamics H. Joachim Schroll OriginalPaper Pages: 599 - 607
Application of a Spectral Element Method to Two-Dimensional Forward-Facing Step Flow D. WilhelmL. Kleiser OriginalPaper Pages: 619 - 627
