Articles

• Preface

  • Preview
  • Requires Subscription or Fee Full PDF

  138 62 Pages:i-ii

• The Work of David Gottlieb: A Success Story

  Bertil Gustafsson

  • Preview
  • Full PDF

  39834 4845 Pages:481-496 Open-access

• A Review of David Gottlieb's Work on the Resolution of the Gibbs Phenomenon

  Sigal Gottlieb, Jae-Hun Jung & Saeja Kim

  • Preview
  • Requires Subscription or Fee Full PDF

  40291 4233 Pages:497-519

• Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media Using Compact High Order Schemes

  Steven Britt, Semyon Tsynkov & Eli Turkel

  • Preview
  • Requires Subscription or Fee Full PDF

  39156 4029 Pages:520-541

• Variance-Based Global Sensitivity Analysis via Sparse-Grid Interpolation and Cubature

  Gregery T. Buzzard & Dongbin Xiu

  • Preview
  • Requires Subscription or Fee Full PDF

  39245 3847 Pages:542-567

• Numerical Resolution Near t=0 of Nonlinear Evolution Equations in the Presence of Corner Singularities in Space Dimension 1

  Qingshan Chen, Zhen Qin & Roger Temam

  • Preview
  • Requires Subscription or Fee Full PDF

  38892 3979 Pages:568-586

• A Least-Squares/Fictitious Domain Method for Linear Elliptic Problems with Robin Boundary Conditions

  Roland Glowinski & Qiaolin He

  • Preview
  • Requires Subscription or Fee Full PDF

  39064 3916 Pages:587-606

• Extrapolation-Based Acceleration of Iterative Solvers: Application to Simulation of 3D Flows

  Leopold Grinberg & George Em Karniadakis

  • Preview
  • Requires Subscription or Fee Full PDF

  39578 4155 Pages:607-626

• A Robust WENO Type Finite Volume Solver for Steady Euler Equations on Unstructured Grids

  Guanghui Hu, Ruo Li & Tao Tang

  • Preview
  • Requires Subscription or Fee Full PDF

  40524 3973 Pages:627-648

• An FFT Based Fast Poisson Solver on Spherical Shells

  Yin-Liang Huang, Jian-Guo Liu & Wei-Cheng Wang

  • Preview
  • Requires Subscription or Fee Full PDF

  39325 4227 Pages:649-667

• Semi-Eulerian and High Order Gaussian Beam Methods for the Schrödinger Equation in the Semiclassical Regime

  Shi Jin, Hao Wu & Xu Yang

  • Preview
  • Requires Subscription or Fee Full PDF

  39365 4215 Pages:668-687

• Constraint Preserving Schemes Using Potential-Based Fluxes I Multidimensional Transport Equations

  Siddhartha Mishra & Eitan Tadmor

  • Preview
  • Requires Subscription or Fee Full PDF

  39387 4125 Pages:688-710

• Adaptive Conservative Cell Average Spectral Element Methods for Transient Wigner Equation in Quantum Transport

  Sihong Shao, Tiao Lu & Wei Cai

  • Preview
  • Requires Subscription or Fee Full PDF

  39530 3945 Pages:711-739

• A Pressure-Correction Scheme for Rotational Navier-Stokes Equations and Its Application to Rotating Turbulent Flows

  Dinesh A. Shetty, Jie Shen, Abhilash J. Chandy & Steven H. Frankel

  • Preview
  • Requires Subscription or Fee Full PDF

  39399 4007 Pages:740-755

• Reduction of Linear Systems of ODEs with Optimal Replacement Variables

  Alex Solomonoff & Wai Sun Don

  • Preview
  • Requires Subscription or Fee Full PDF

  39330 4003 Pages:756-779

• A Well-Conditioned Hierarchical Basis for Triangular H(curl)-Conforming Elements

  Jianguo Xin & Wei Cai

  • Preview
  • Requires Subscription or Fee Full PDF

  38787 3927 Pages:780-806

• On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes

  Rui Zhang, Mengping Zhang & Chi-Wang Shu

  • Preview
  • Requires Subscription or Fee Full PDF

  39890 4279 Pages:807-827

• A Hybrid FETD-FDTD Method with Nonconforming Meshes

  Bao Zhu, Jiefu Chen, Wanxie Zhong & Qing Huo Liu

  • Preview
  • Requires Subscription or Fee Full PDF

  39078 4101 Pages:828-842