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  • Point Integral Method for Solving Poisson-Type Equations on Manifolds from Point Clouds with Convergence Guarantees

    Zhen Li, Zuoqiang Shi, Jian Sun
    2019-10-31
    42082 4180 Pages:228-258
  • A Penalty Optimization Algorithm for Eigenmode Optimization Problem Using Sensitivity Analysis

    Zhengfang Zhang, Weifeng Chen & Xiaoliang Cheng
    2014-03-05
    41784 4046 Pages:776-796
  • Numerical Study of Quantized Vortex Interaction in the Ginzburg-Landau Equation on Bounded Domains

    Weizhu Bao & Qinglin Tang
    2013-09-05
    39342 3904 Pages:819-850
  • A Fast Direct Solver for a Class of 3-D Elliptic Partial Differential Equation with Variable Coefficient

    Beibei Huang, Bin Tu & Benzhuo Lu
    2012-12-01
    40127 4117 Pages:1148-1162
  • Micro-Differential Boundary Conditions Modelling the Absorption of Acoustic Waves by 2D Arbitrarily-Shaped Convex Surfaces

    Hélène Barucq, Julien Diaz & Véronique Duprat
    2020-07-31
    39426 3682 Pages:674-690
  • A Finite Element Method for Modelling Electromechanical Wave Propagation in Anisotropic Piezoelectric Media

    S. Rahman, H. P. Langtangen & C. H. W. Barnes
    2018-03-24
    39274 3724 Pages:271-292
  • High Order Deep Neural Network for Solving High Frequency Partial Differential Equations

    Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang
    2022-01-27
    46031 3436 Pages:370-397
  • Multi-Valued Solution and Level Set Methods in Computational High Frequency Wave Propagation

    H. Liu, S. Osher & R. Tsai
    2006-01-01
    39424 3802 Pages:765-804
  • Discrete Duality Finite Volume Discretization of the Thermal-$P_N$ Radiative Transfer Equations on General Meshes

    Francois Hermeline
    2022-01-27
    42740 3302 Pages:398-448
  • Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

    Richen Li, Qingbiao Wu, Shengfeng Zhu
    2021-05-25
    48273 3293 Pages:396-422
  • A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

    Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang
    2020-11-26
    46211 4304 Pages:237-264
  • Lévy Backward SDE Filter for Jump Diffusion Processes and Its Applications in Material Sciences

    Feng Bao, Richard Archibald, Peter Maksymovych
    2019-12-07
    47019 4808 Pages:589-618 Open-access
  • A Fast State-Based Peridynamic Numerical Model

    Ning Du, Xu Guo, Hong Wang
    2020-03-06
    52258 5213 Pages:274-291
  • Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications

    Hannes Uecker
    2018-11-09
    48187 3419 Pages:812-852
  • Simulation of Inviscid Compressible Flows Using PDE Transform

    Langhua Hu, Siyang Yang & Guo-Wei Wei
    2014-11-08
    43159 5609 Pages:1201-1238
  • A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

    Raphaël Loubère, Michael Dumbser & Steven Diot
    2014-12-08
    39523 3826 Pages:718-763
  • A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows III: Microflow Simulations

    Juan-Chen Huang, Kun Xu & Pubing Yu
    2013-11-05
    40588 4212 Pages:1147-1173
  • Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation

    Shanshan Jiang, Lijin Wang & Jialin Hong
    2014-08-05
    41434 3968 Pages:393-411
  • A Stochastic Galerkin Method for Stochastic Control Problems

    Hyung-Chun Lee & Jangwoon Lee
    2014-07-05
    39538 4557 Pages:77-106
  • An FFT Based Fast Poisson Solver on Spherical Shells

    Yin-Liang Huang, Jian-Guo Liu & Wei-Cheng Wang
    2011-03-05
    39245 4200 Pages:649-667
  • Derivation of a Non-Local Model for Diffusion Asymptotics — Application to Radiative Transfer Problems

    C. Besse & T. Goudon
    2010-08-01
    40830 4099 Pages:1139-1182
  • Wave Propagation Simulation Using the CIP Method of Characteristic Equations

    Kazuya Shiraishi & Toshifumi Matsuoka
    2008-01-02
    39802 4444 Pages:121-135
  • Direct Simulation Methods for Scalar-Wave Envelopes in Two-Dimensional Layered Random Media Based on the Small-Angle Scattering Approximation

    Tatsuhiko Saito, Haruo Sato & Tsutomu Takahashi
    2008-01-02
    40047 4259 Pages:63-84
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