Search Results

• Finite Element Methods for a Bi-Wave Equation Modeling D-Wave Superconductors

  Xiaobing Feng, Michael Neilan

  2018-08-22

  DOI:10.4208/jcm.1001-m1001

  33578 3634 pp. 331-353

• Uniform Error Bounds of an Energy-Preserving Exponential Wave Integrator Fourier Pseudo-Spectral Method for the Nonlinear Schrödinger Equation with Wave Operator and Weak Nonlinearity

  Jiyong Li

  2024-11-19

  DOI:10.4208/jcm.2310-m2022-0141

  14147 1157 pp. 280-314

• An Exponential Wave Integrator Pseudospectral Method for the Symmetric Regularized-Long-Wave Equation

  Xiaofei Zhao

  2018-08-22

  DOI:10.4208/jcm.1510-m4467

  37974 4909 pp. 49-69

• Full-Discrete Finite Element Method for Stochastic Hyperbolic Equation

  Xiaoyuan Yang, Xiaocui Li, Ruisheng Qi, Yinghan Zhang

  2018-08-22

  DOI:10.4208/jcm.1506-m2014-0186

  37517 2931 pp. 533-556

• Anisotropic $EQ_1^{rot}$ Finite Element Approximation for a Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

  Huijun Fan, Yanmin Zhao, Fenling Wang, Yanhua Shi, Fawang Liu

  2023-04-25

  DOI:10.4208/jcm.2110-m2021-0180

  31739 3030 pp. 458-481

• Multi-Symplectic Fourier Pseudospectral Method for a Higher Order Wave Equation of KdV Type

  Junjie Wang

  2018-08-22

  DOI:10.4208/jcm.1502-m4400

  36372 2861 pp. 379-395

• Stability for Imposing Absorbing Boundary Conditions in the Finite Element Simulation of Acoustic Wave Propagation

  Wensheng Zhang, Eric T. Chung, Chaowei Wang

  2018-08-22

  DOI:10.4208/jcm.1310-m3942

  38534 5821 pp. 1-20

• A Linearly-Fitted Conservative (Dissipative) Scheme for Efficiently Solving Conservative (Dissipative) Nonlinear Wave PDEs

  Kai Liu, Xinyuan Wu, Wei Shi

  2021-07-01

  DOI:10.4208/jcm.1612-m2016-0604

  39947 3738 pp. 780-800

• Inverse conductivity Problem with Internal Data

  Faouzi Triki, Tao Yin

  2023-04-25

  DOI:10.4208/jcm.2111-m2021-0093

  32696 3030 pp. 482-500

• On the Quasi-Random Choice Method for the Liouville Equation of Geometrical Optics with Discontinuous Wave Speed

  Jingwei Hu, Shi Jin

  2021-07-01

  DOI:10.4208/jcm.1309-m3592

  37577 4212 pp. 573-591

• Compact Fourth-Order Finite Difference Schemes for Helmholtz Equation with High Wave Numbers

  Yiping Fu

  2018-08-15

  33863 4986 pp. 98-111

• A Tailored Finite Point Method for the Helmholtz Equation with High Wave Numbers in Heterogeneous Medium

  Houde Han, Zhongyi Huang

  2018-08-07

  32717 3712 pp. 728-739

• A Projection Method with Regularization for the Cauchy Problem of the Helmholtz Equation

  Yunyun Ma, Fuming Ma, Heping Dong

  2018-08-22

  DOI:10.4208/jcm.1109-m3491

  35407 4474 pp. 157-176 Open Access

• Compact Finite Difference Scheme for Some Sobolev Type Equations with Dirichlet Boundary Condition

  Lavanya V Salian, Rathan Samala, Rakesh Kumar

  2025-11-19

  DOI:10.4208/jcm.2509-m2024-0296

  215 155

• Time Domain Boundary Element Methods for the Neumann Problem: Error Estimates and Acoustic Problems

  Heiko Gimperlein, Ceyhun Özdemir, Ernst P. Stephan

  2018-09-17

  DOI:10.4208/jcm.1610-m2016-0494

  41060 4907 pp. 70-89

• Initial Value Techniques for the Helmholtz and Maxwell Equations

  Frank Natterer, Olga Klyubina

  2007-06-02

  33858 3728 pp. 368-373

• Nonlinear Integral Equation of Inverse Scattering Problems of Wave Equation and Iteration

  Xie Gan-Quan, Jian-Hua Li

  2021-07-01

  33496 3332 pp. 289-297

• Local Discontinuous Galerkin Methods for Three Classes of Nonlinear Wave Equations

  Yan Xu, Chi-Wang Shu

  2004-04-02

  34373 3827 pp. 250-274

• Stability Analysis of Finite Element Methods for the Acoustic Wave Equation with Absorbing Boundary Conditions (Part I)

  Xiu-Min Shao, Zhi-Ling Lan

  1999-06-02

  32811 3556 pp. 293-306

• Error Estimation for Numerical Methods Using the Ultra Weak Variational Formulation in Model of Near Field Scattering Problem

  Tian Luan, Fuming Ma, Minghui Liu

  2018-08-22

  DOI:10.4208/jcm.1403-m4404

  38392 3966 pp. 491-506

• Tailored Finite Cell Method for Solving Helmholtz Equation in Layered Heterogeneous Medium

  Zhongyi Huang, Xu Yang

  2018-08-22

  DOI:10.4208/jcm.1111-m3679

  35162 3494 pp. 381-391

• High-Order Local Absorbing Boundary Conditions for Heat Equation in Unbounded Domains

  Xiaonan Wu, Jiwei Zhang

  2018-08-22

  DOI:10.4208/jcm.1004-m3195

  34044 4070 pp. 74-90

• A Hybrid Explicit-Implicit Scheme for the Time-Dependent Wigner Equation

  Haiyan Jiang, Tiao Lu, Xu Yin

  2021-06-10

  DOI:10.4208/jcm.1906-m2018-0081

  42346 4397 pp. 22-42

• Application of the Complete Radiation Boundary Condition and the Rational Absorbing Boundary Condition in $\mathbb{R}^2$ and $\mathbb{R}^3$

  Jungwon Lee, Seungil Kim

  2025-09-28

  DOI:10.4208/jcm.2509-m2024-0238

  5015 487 pp. 1318-1348

• Fourth-Order Compact Schemes for Helmholtz Equations with Piecewise Wave Numbers in the Polar Coordinates

  Xiaolu Su, Xiufang Feng, Zhilin Li

  2018-08-22

  DOI:10.4208/jcm.1604-m2015-0290

  36328 2859 pp. 499-510

• An Explicit Multi-Conservation Finite-Difference Scheme for Shallow-Water-Wave Equation

  Bin Wang

  2018-08-07

  31920 3608 pp. 404-409

• Numerical Approximation of the Invariant Distribution for a Class of Stochastic Damped Wave Equations

  Ziyi Lei, Charles-Edouard Bréhier, Siqing Gan

  2025-07-12

  DOI:10.4208/jcm.2404-m2023-0144

  6434 632 pp. 976-1015