Articles

• Preface

  • Preview
  • Requires Subscription or Fee Full PDF

  159 61 Pages:i-ii

• Some Recent Advances on Spectral Methods for Unbounded Domains

  Jie Shen & Li-Lian Wang

  • Preview
  • Requires Subscription or Fee Full PDF

  42992 4013 Pages:195-241

• Fast Numerical Methods for Stochastic Computations: A Review

  Dongbin Xiu

  • Preview
  • Requires Subscription or Fee Full PDF

  44223 4555 Pages:242-272

• Simulation of Three-Dimensional Bénard-Marangoni Flows Including Deformed Surfaces

  Tormod Bjøntegaard & Einar M. Rønquist

  • Preview
  • Requires Subscription or Fee Full PDF

  42170 3705 Pages:273-295

• Multilevel Preconditioners for the Interior Penalty Discontinuous Galerkin Method II - Quantitative Studies

  Kolja Brix, Martin Campos Pinto, Wolfgang Dahmen & Ralf Massjung

  • Preview
  • Requires Subscription or Fee Full PDF

  42261 3764 Pages:296-325

• Segmentation of Images from Fourier Spectral Data

  Anne Gelb & Dennis Cates

  • Preview
  • Requires Subscription or Fee Full PDF

  42286 3780 Pages:326-349

• Composite Laguerre-Legendre Pseudospectral Method for Exterior Problems

  Tian-Jun Wang & Ben-Yu Guo

  • Preview
  • Requires Subscription or Fee Full PDF

  42330 3687 Pages:350-375

• Development of Residual Distribution Schemes for the Discontinuous Galerkin Method: The Scalar Case with Linear Elements

  Rémi Abgrall & Chi-Wang Shu

  • Preview
  • Requires Subscription or Fee Full PDF

  42531 3645 Pages:376-390

• An Iterative Domain Decomposition Algorithm for the Grad(div) Operator

  E. Ahusborde, M. Azaïez, M. O. Deville & E. H. Mund

  • Preview
  • Requires Subscription or Fee Full PDF

  41921 3640 Pages:391-397

• Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods

  Paola F. Antonietti & Blanca Ayuso

  • Preview
  • Requires Subscription or Fee Full PDF

  42113 3754 Pages:398-412

• Modes of a Plasma-Filled Waveguide Determined by a Numerical hp Method

  K. Appert, M. Azaïez & R. Gruber

  • Preview
  • Requires Subscription or Fee Full PDF

  41904 3621 Pages:413-425

• Spectral Elliptic Solvers in a Finite Cylinder

  F. Auteri & L. Quartapelle

  • Preview
  • Requires Subscription or Fee Full PDF

  42038 3742 Pages:426-441

• Fourth Order Schemes for Time-Harmonic Wave Equations with Discontinuous Coefficients

  Guy Baruch, Gadi Fibich, Semyon Tsynkov & Eli Turkel

  • Preview
  • Requires Subscription or Fee Full PDF

  43330 3891 Pages:442-455

• A Discontinuous Galerkin Extension of the Vertex-Centered Edge-Based Finite Volume Method

  Martin Berggren, Sven-Erik Ekström & Jan Nordström

  • Preview
  • Requires Subscription or Fee Full PDF

  41852 3574 Pages:456-468

• Numerical Diffusion Control of a Space-Time Discontinuous Galerkin Method

  Michel Borrel & Juliette Ryan

  • Preview
  • Requires Subscription or Fee Full PDF

  42261 3732 Pages:469-483

• Exponentially-Convergent Strategies for Defeating the Runge Phenomenon for the Approximation of Non-Periodic Functions, Part I: Single-Interval Schemes

  John P. Boyd & Jun Rong Ong

  • Preview
  • Requires Subscription or Fee Full PDF

  43117 3767 Pages:484-497

• Local Discontinuous Galerkin Method with Reduced Stabilization for Diffusion Equations

  E. Burman & B. Stamm

  • Preview
  • Requires Subscription or Fee Full PDF

  41823 3725 Pages:498-514

• Numerical Solution of Partial Differential Equations in Random Domains: An Application to Wind Engineering

  Claudio Canuto & Davide Fransos

  • Preview
  • Requires Subscription or Fee Full PDF

  41752 3746 Pages:515-531

• A Family of Relaxation Schemes for Nonlinear Convection Diffusion Problems

  Fausto Cavalli, Giovanni Naldi, Gabriella Puppo & Matteo Semplice

  • Preview
  • Requires Subscription or Fee Full PDF

  41781 3602 Pages:532-545

• An hp Adaptive Uniaxial Perfectly Matched Layer Method for Helmholtz Scattering Problems

  Zhiming Chen, Benqi Guo & Yuanming Xiao

  • Preview
  • Requires Subscription or Fee Full PDF

  42176 3661 Pages:546-564

• Computing Multivalued Solutions of Pressureless Gas Dynamics by Deterministic Particle Methods

  Alina Chertock & Alexander Kurganov

  • Preview
  • Requires Subscription or Fee Full PDF

  42813 3602 Pages:565-581

• A Fourier Spectral Moving Mesh Method for the Cahn-Hilliard Equation with Elasticity

  W. M. Feng, P. Yu, S. Y. Hu, Z. K. Liu, Q. Du & L. Q. Chen

  • Preview
  • Requires Subscription or Fee Full PDF

  42377 4226 Pages:582-599

• Numerical Issues in the Implementation of High Order Polynomial Multi-Domain Penalty Spectral Galerkin Methods for Hyperbolic Conservation Laws

  Sigal Gottlieb & Jae-Hun Jung

  • Preview
  • Requires Subscription or Fee Full PDF

  41078 3596 Pages:600-619

• Analysis and Computation for a Fluid Mixture Model

  Qunlei Jiang, Zhilin Li & Sharon R. Lubkin

  • Preview
  • Requires Subscription or Fee Full PDF

  41571 3659 Pages:620-634

• Spectral Vanishing Viscosity Stabilized LES of the Ahmed Body Turbulent Wake

  M. Minguez, R. Pasquetti & E. Serre

  • Preview
  • Requires Subscription or Fee Full PDF

  41956 3778 Pages:635-648

• Chebyshev Collocation for Optimal Control in a Thermoconvective Flow

  M. C. Navarro, H. Herrero & S. Hoyas

  • Preview
  • Requires Subscription or Fee Full PDF

  41344 3720 Pages:649-666

• p-Multigrid Method for Fekete-Gauss Spectral Element Approximations of Elliptic Problems

  Richard Pasquetti & Francesca Rapetti

  • Preview
  • Requires Subscription or Fee Full PDF

  140 41 Pages:667-682

• Bilinear Forms for the Recovery-Based Discontinuous Galerkin Method for Diffusion

  Marc van Raalte & Bram van Leer

  • Preview
  • Requires Subscription or Fee Full PDF

  41087 3445 Pages:683-693

• A High Order Method for Determining the Edges in the Gradient of a Function

  Rishu Saxena, Anne Gelb & Hans Mittelmann

  • Preview
  • Requires Subscription or Fee Full PDF

  41021 3477 Pages:694-711

• A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations

  Abdullah Shah, Hong Guo & Li Yuan

  • Preview
  • Requires Subscription or Fee Full PDF

  41548 3491 Pages:712-729

• Variable High Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows

  Björn Sjögreen & H. C. Yee

  • Preview
  • Requires Subscription or Fee Full PDF

  41295 3401 Pages:730-744

• Numerical Calculation of Monotonicity Properties of the Blow-Up Time of NLS

  Hans Peter Stimming

  • Preview
  • Requires Subscription or Fee Full PDF

  41034 3498 Pages:745-759

• Efficient Implicit Non-Linear LU-SGS Approach for Compressible Flow Computation Using High-Order Spectral Difference Method

  Yuzhi Sun, Z. J. Wang & Yen Liu

  • Preview
  • Requires Subscription or Fee Full PDF

  42760 3893 Pages:760-778

• Accuracy Enhancement Using Spectral Postprocessing for Differential Equations and Integral Equations

  Tao Tang & Xiang Xu

  • Preview
  • Requires Subscription or Fee Full PDF

  41750 3637 Pages:779-792

• Error Control in Multi-Element Generalized Polynomial Chaos Method for Elliptic Problems with Random Coefficients

  Xiaoliang Wan & George Em Karniadakis

  • Preview
  • Requires Subscription or Fee Full PDF

  41285 3565 Pages:793-820

• Application of the Local Discontinuous Galerkin Method for the Allen-Cahn/Cahn-Hilliard System

  Yinhua Xia, Yan Xu & Chi-Wang Shu

  • Preview
  • Requires Subscription or Fee Full PDF

  42436 3614 Pages:821-835

• Third Order WENO Scheme on Three Dimensional Tetrahedral Meshes

  Yong-Tao Zhang & Chi-Wang Shu

  • Preview
  • Requires Subscription or Fee Full PDF

  43093 3889 Pages:836-848