Articles

• Preface

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  178 65 Pages:i-ii

• The Work of David Gottlieb: A Success Story

  Bertil Gustafsson

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  39869 4863 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

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  40335 4240 Pages:497-519

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

  Steven Britt, Semyon Tsynkov, Eli Turkel

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  39198 4037 Pages:520-541

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

  Gregery T. Buzzard, Dongbin Xiu

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  39287 3857 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

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  38943 3987 Pages:568-586

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

  Roland Glowinski, Qiaolin He

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  39105 3923 Pages:587-606

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

  Leopold Grinberg, George Em Karniadakis

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  39622 4167 Pages:607-626

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

  Guanghui Hu, Ruo Li, Tao Tang

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  40568 3986 Pages:627-648

• An FFT Based Fast Poisson Solver on Spherical Shells

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

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  39372 4234 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

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  39407 4217 Pages:668-687

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

  Siddhartha Mishra, Eitan Tadmor

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  39434 4138 Pages:688-710

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

  Sihong Shao, Tiao Lu, Wei Cai

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  39572 3959 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

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  39444 4010 Pages:740-755

• Reduction of Linear Systems of ODEs with Optimal Replacement Variables

  Alex Solomonoff, Wai Sun Don

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  39369 4015 Pages:756-779

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

  Jianguo Xin, Wei Cai

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  38836 3938 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

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  39933 4283 Pages:807-827

• A Hybrid FETD-FDTD Method with Nonconforming Meshes

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

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  39130 4107 Pages:828-842