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  • A Nonlinear Finite Volume Element Method Satisfying Maximum Principle for Anisotropic Diffusion Problems on Arbitrary Triangular Meshes

    Yanni Gao, Shuai Wang, Guangwei Yuan & Xudeng Hang
    2019-02-25
    45911 5069 Pages:135-159
  • A Simplified Artificial Compressibility Flux for the Discontinuous Galerkin Solution of the Incompressible Navier-Stokes Equations

    Fan Zhang, Hansong Tang, Jian Cheng & Tiegang Liu
    2018-12-08
    48736 3508 Pages:988-1009
  • An Essential Extension of the Finite-Energy Condition for Extended Runge-Kutta-Nyström Integrators when Applied to Nonlinear Wave Equations

    Lijie Mei, Changying Liu & Xinyuan Wu
    2017-09-02
    41592 3322 Pages:742-764
  • An Adaptive Finite Element Method with Hybrid Basis for Singularly Perturbed Nonlinear Eigenvalue Problems

    Ye Li
    2018-04-03
    41347 3232 Pages:442-472
  • Adaptive Bayesian Inference for Discontinuous Inverse Problems, Application to Hyperbolic Conservation Laws

    Alexandre Birolleau, Gaël Poëtte & Didier Lucor
    2014-07-06
    42059 5435 Pages:1-34
  • Weighted Interior Penalty Method with Semi-Implicit Integration Factor Method for Non-Equilibrium Radiation Diffusion Equation

    Rongpei Zhang, Xijun Yu, Jiang Zhu, Abimael F. D. Loula & Xia Cui
    2013-11-05
    40694 3963 Pages:1287-1303
  • Subspace Trajectory Piecewise-Linear Model Order Reduction for Nonlinear Circuits

    Xiaoda Pan, Hengliang Zhu, Fan Yang & Xuan Zeng
    2013-09-05
    39255 3919 Pages:639-663
  • Analysis and Efficient Solution of Stationary Schrödinger Equation Governing Electronic States of Quantum Dots and Rings in Magnetic Field

    Marta M. Betcke & Heinrich Voss
    2012-11-01
    38725 3988 Pages:1591-1617
  • 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
    2011-03-05
    38892 3979 Pages:568-586
  • Nonlinear Stochastic Galerkin and Collocation Methods: Application to a Ferromagnetic Cylinder Rotating at High Speed

    Eveline Rosseel, Herbert De Gersem & Stefan Vandewalle
    2010-08-01
    43201 4791 Pages:947-975 Open-access
  • Recent Developments in Numerical Techniques for Transport-Based Medical Imaging Methods

    Kui Ren
    2010-08-01
    43244 4782 Pages:1-50 Open-access
  • Progress of Pattern Dynamics in Plasma Waves

    B. Qiao, C. T. Zhou, X. T. He & C. H. Lai
    2008-11-05
    37030 4260 Pages:1129-1150
  • Solutions of the 1D Coupled Nonlinear Schrödinger Equations by the CIP-BS Method

    T. Utsumi, T. Aoki, J. Koga & M. Yamagiwa
    2018-03-24
    39147 4124 Pages:261-275
  • An Efficient Time-Splitting Method to Simulate the Dynamics of Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates

    Xiaolan Chen, Yongjun Yuan, Yong Zhang
    2026-01-15
    2956 188 Pages:119-146
  • A Splitting Method for Nonlinear Filtering Problems with Diffusive and Point Process Observations

    Fengshan Zhang, Yongkui Zou, Shimin Chai, Yanzhao Cao
    2024-10-29
    17875 1149 Pages:996-1020
  • An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations

    Ruigang Shen, Qianru Zhang, Benzhuo Lu
    2024-09-06
    19661 1568 Pages:521-550
  • A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

    Jinyang Lu, Qi Tao, Yan Xu
    2025-04-27
    9293 537 Pages:975-1007
  • Probabilistic High Order Numerical Schemes for Fully Nonlinear Parabolic PDEs

    Tao Kong, Weidong Zhao & Tao Zhou
    2020-07-30
    39341 3361 Pages:1482-1503
  • Theoretical and Numerical Modeling of Nonlinear Electromechanics with Applications to Biological Active Media

    Alessio Gizzi, Christian Cherubini, Simonetta Filippi & Anna Pandolfi
    2018-04-02
    42582 4597 Pages:93-126
  • An Improved Tokamak Sawtooth Benchmark for 3D Nonlinear MHD

    J. A. Breslau, C. R. Sovinec & S. C. Jardin
    2008-09-05
    39074 3836 Pages:647-658
  • A Uniformly Convergent Numerical Method for Singularly Perturbed Nonlinear Eigenvalue Problems

    Weizhu Bao & Ming-Huang Chai
    2008-04-01
    38611 4126 Pages:135-160
  • Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

    Mingzhu Zhang, Lijun Yi
    2024-04-10
    24006 2091 Pages:816-858
  • A New Artificial Neural Network Method for Solving Schrödinger Equations on Unbounded Domains

    Joshua P. Wilson, Weizhong Dai, Aniruddha Bora, Jacob C. Boyt
    2022-10-28
    47465 3485 Pages:1039-1060
  • Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems

    Boyang Yu, Hongtao Yang, Yonghai Li, Guangwei Yuan
    2022-05-06
    45072 3251 Pages:1489-1524
  • High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

    Yupeng Ren, Yulong Xing, Jianxian Qiu
    2021-12-06
    47500 3849 Pages:154-187
  • Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

    Shu-Cun Li, Huazhong Tang
    2021-08-10
    47691 3101 Pages:1150-1184
  • On False Accuracy Verification of UMUSCL Scheme

    Hiroaki Nishikawa
    2021-08-10
    48528 3188 Pages:1037-1060
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