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

  Dong-Sheng Wu

  2021-07-01

  33112 3608 Pages: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

  40084 2822 Pages:574-598

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

  Rongsan Chen, Dekang Mao

  2018-08-22

  36824 2807 Pages: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

  32352 3687 Pages: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

  36756 4816 Pages:107-135 Open-access

• Time Multipoint Nonlocal Problem for a Stochastic Schrödinger Equation

  Roger Pettersson, Ali Sirma, Tarkan Aydin

  2024-11-19

  11612 986 Pages:369-393

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

  Li-Ping Wen & Shou-Fu Li

  2005-08-02

  32683 3282 Pages:393-400

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

  Shao-Yun Huang & Cai-Jing Zhou

  1985-03-01

  34423 3765 Pages:72-89

• Singularity-Free Numerical Scheme for the Stationary Wigner Equation

  Tiao Lu, Zhangpeng Sun

  2018-09-10

  38243 3133 Pages:170-183

• Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation

  Huan Liu, Xiangcheng Zheng, Hongfei Fu

  2022-10-06

  271 4 Pages:814-834

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

  Guo-Qiang Han

  1994-12-01

  32627 3855 Pages: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

  2025-11-20

  1362 62 Pages:1-34

• Spurious Numerical Solutions of Delay Differential Equations

  Hong-Jiong Tian, Li-Qiang Fan, Yuan-Ying Zhang & Jia-Xiang Xiang

  2006-04-02

  30954 3166 Pages:181-192

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

  Min Tang

  2021-07-01

  35380 3706 Pages: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

  13707 1054 Pages:280-314

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

  Lan-Chieh Huang, Jian-Xiong Shen

  1988-06-01

  33327 3704 Pages:175-192

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

  Ziqing Xie & Zhimin Zhang

  2007-04-02

  34281 3620 Pages: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

  25076 2156 Pages:432-453

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

  Xuefeng Duan, Zhuling Jiang, Anping Liao

  2018-08-22

  39101 2867 Pages: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

  33599 3636 Pages:489-500

• Analysis of Moving Mesh Methods Based on Geometrical Variables

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

  2001-02-02

  35093 3828 Pages:41-54

• 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

  281 5 Pages:667-685

• Numerical Analysis of Elliptic Hemivariational Inequalities for Semipermeable Media

  Weimin Han, Ziping Huang, Cheng Wang, Wei Xu

  2019-04-29

  40424 2895 Pages:506-523

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

  Gerard Awanou, Hengguang Li, Eric Malitz

  2020-05-19

  39618 2874 Pages:547-564

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

  M. Gunzburger & A. Labovsky

  2018-08-22

  33695 3521 Pages: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

  16321 1381 Pages:690-707

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

  Huaijun Yang, Dongyang Shi

  2021-11-19

  42473 3760 Pages:127-146