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• Probabilistic Numerical Approach for PDE and Its Application in the Valuation of European Options

  Dong-Sheng Wu

  2021-07-01

  33280 3658 pp. 591-600

• Strong Convergence of a Fully Discrete Finite Element Method for a Class of Semilinear Stochastic Partial Differential Equations with Multiplicative Noise

  Xiaobing Feng, Yukun Li, Yi Zhang

  2021-07-05

  DOI:10.4208/jcm.2003-m2019-0250

  40351 2900 pp. 574-598

• Improved Entropy-Ultra-Bee Scheme for the Euler System of Gas Dynamics

  Rongsan Chen, Dekang Mao

  2018-08-22

  DOI:10.4208/jcm.1603-m2015-0338

  37063 2860 pp. 121-151

• Numerical Boundary Conditions for the Fast Sweeping High Order WENO Methods for Solving the Eikonal Equation

  Ling Huang, Chi-Wang Shu, Mengping Zhang

  2018-08-07

  32574 3752 pp. 336-346

• Mixed Interior Penalty Discontinuous Galerkin Methods for One-Dimensional Fully Nonlinear Second Order Elliptic and Parabolic Equations

  Xiaobing Feng, Thomas Lewis

  2018-08-22

  DOI:10.4208/jcm.1401-m4357

  36980 4938 pp. 107-135 Open Access

• Time Multipoint Nonlocal Problem for a Stochastic Schrödinger Equation

  Roger Pettersson, Ali Sirma, Tarkan Aydin

  2024-11-19

  DOI:10.4208/jcm.2210-m2022-0057

  11940 1073 pp. 369-393

• Stability of Theoretical Solution and Numerical Solution of Nonlinear Differential Equations with Piecewise Delays

  LP Wen, SF Li

  2005-08-02

  32884 3341 pp. 393-400

• Numerical Solution of Non-Steady State Porous Flow Free Boundary Problems

  Shao-Yun Huang & Cai-Jing Zhou

  1985-03-01

  34652 3891 pp. 72-89

• Singularity-Free Numerical Scheme for the Stationary Wigner Equation

  Tiao Lu, Zhangpeng Sun

  2018-09-10

  DOI:10.4208/jcm.1711-m2017-0097

  38477 3211 pp. 170-183

• Asymptotic Error Expansion for the Nystrom Method of Nonlinear Volterra Integral Equation of the Second Kind

  Guo-Qiang Han

  1994-12-01

  32997 3948 pp. 31-35

• Element Learning: A Systematic Approach of Accelerating Finite Element-Type Methods via Machine Learning, with Applications to Radiative Transfer

  Shukai Du, Samuel N. Stechmann

  2026-02-15

  DOI:10.4208/jcm.2407-m2024-0047

  2742 329 pp. 1-34

• Spurious Numerical Solutions of Delay Differential Equations

  HJ Tian, LQ Fan, YY Zhang, JX Xiang

  2006-04-02

  31123 3221 pp. 181-192

• A Uniform First-Order Method for the Discrete Ordinate Transport Equation with Interfaces in X,Y-Geometry

  Min Tang

  2021-07-01

  DOI:10.4208/jcm.2009.09-m2894

  35595 3772 pp. 764-786

• 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

• Numerical Solution of the Incompressible Navier-Stokes Equations with Singular Perturbation Considerations

  Lan-Chieh Huang, Jian-Xiong Shen

  1988-06-01

  33537 3757 pp. 175-192

• Superconvergence of DG Method for One-Dimensional Singularly Perturbed Problems

  Ziqing Xie, Zhimin Zhang

  2007-04-02

  34511 3683 pp. 185-200

• An Efficient Finite Difference Method for Stochastic Linear Second-Order Boundary-Value Problems Driven by Additive White Noises

  Mahboub Baccouch

  2024-01-16

  DOI:10.4208/jcm.2205-m2021-0346

  25422 2253 pp. 432-453

• Low Rank Approximation Solution of a Class of Generalized Lyapunov Equation

  Xuefeng Duan, Zhuling Jiang, Anping Liao

  2018-08-22

  DOI:10.4208/jcm.1601-m2015-0388

  39332 2934 pp. 407-420

• The Numerical Solution of First Kind Integral Equation for the Helmholtz Equation on Smooth Open Arcs

  Wei-Jun Tang, Hong-Yuan Fu, Long-Jun Shen

  2001-10-02

  33798 3693 pp. 489-500

• Analysis of Moving Mesh Methods Based on Geometrical Variables

  Tao Tang, Wei-Min Xue, Ping-Wen Zhang

  2001-02-02

  35307 3927 pp. 41-54

• Numerical Analysis of Elliptic Hemivariational Inequalities for Semipermeable Media

  Weimin Han, Ziping Huang, Cheng Wang, Wei Xu

  2019-04-29

  DOI:10.4208/jcm.1807-m2018-0035

  40647 2941 pp. 506-523

• Two-Grid Algorithm of $H^{1}$-Galerkin Mixed Finite Element Methods for Semilinear Parabolic Integro-Differential Equations

  Tianliang Hou, Chunmei Liu, Chunlei Dai, Luoping Chen, Yin Yang

  2022-10-06

  DOI:10.4208/jcm.2101-m2019-0159

  41702 2999 pp. 667-685

• A Two-Grid Method for the C0 Interior Penalty Discretization of the Monge-Ampère Equation

  Gerard Awanou, Hengguang Li, Eric Malitz

  2020-05-19

  DOI:10.4208/jcm.1901-m2018-0039

  39820 2928 pp. 547-564

• Effects of Approximate Deconvolution Models on the Solution of the Stochastic Navier-Stokes Equations

  M. Gunzburger, A. Labovsky

  2018-08-22

  DOI:10.4208/jcm.1006-m3244

  33909 3570 pp. 131-140

• Error Analysis of Fractional Collocation Methods for Volterra Integro-Differential Equations with Noncompact Operators

  Zheng Ma, Chengming Huang, Anatoly A. Alikhanov

  2024-11-21

  DOI:10.4208/jcm.2401-m2023-0196

  16714 1463 pp. 690-707

• Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations

  Huaijun Yang, Dongyang Shi

  2021-11-19

  DOI:10.4208/jcm.2007-m2020-0164

  42727 3924 pp. 127-146

• A Compact Upwind Second Order Scheme for the Eikonal Equation

  J. -D. Benamou, Songting Luo, Hongkai Zhao

  2018-08-22

  DOI:10.4208/jcm.1003-m0014

  34832 3907 pp. 489-516