Search Results

• Fourth-Order Splitting Methods for Time-Dependant Differential Equations

  Jürgen Geiser

  2008-01-01

  39263 3566 Pages:321-339

• Effect of Space Dimensions on Equilibrium Solutions of Cahn-Hilliard and Conservative Allen-Cahn Equations

  Hyun Geun Lee, Junxiang Yang, Junseok Kim, Jintae Park

  2020-03-16

  45668 2887 Pages:644-664

• An Adaptive Physics-Informed Neural Network with Two-Stage Learning Strategy to Solve Partial Differential Equations

  Shuyan Shi, Ding Liu, Ruirui Ji, Yuchao Han

  2023-04-10

  40298 3186 Pages:298-322

• PI-VEGAN: Physics Informed Variational Embedding Generative Adversarial Networks for Stochastic Differential Equations

  Ruisong Gao, Yufeng Wang, Min Yang, Chuanjun Chen

  2023-11-07

  27919 2448 Pages:931-953

• ODE-Based Multistep Schemes for Backward Stochastic Differential Equations

  Shuixin Fang, Weidong Zhao

  2023-11-07

  28455 2442 Pages:1053-1086

• A Fitted Numerov Method for Singularly Perturbed Parabolic Partial Differential Equation with a Small Negative Shift Arising in Control Theory

  R. Nageshwar Rao, P. Pramod Chakravarthy

  2014-07-01

  41694 4530 Pages:23-40

• Numerical Solution of Partial Differential Equations in Arbitrary Shaped Domains Using Cartesian Cut-Stencil Finite Difference Method. Part I: Concepts and Fundamentals

  M. Esmaeilzadeh, R.M. Barron, R. Balachandar

  2020-12-02

  53486 3132 Pages:881-907

• Sparse Deep Neural Network for Nonlinear Partial Differential Equations

  Yuesheng Xu, Taishan Zeng

  2023-01-13

  34541 3191 Pages:58-78

• Adaptive Dimensionality-Reduction for Time-Stepping in Differential and Partial Differential Equations

  Xing Fu, J. Nathan Kutz

  2017-11-02

  39412 2687 Pages:872-894

• A Local Deep Learning Method for Solving High Order Partial Differential Equations

  Jiang Yang, Quanhui Zhu

  2022-02-09

  47233 4619 Pages:42-67

• A Numerical Approximation Structured by Mixed Finite Element and Upwind Fractional Step Difference for Semiconductor Device with Heat Conduction and Its Numerical Analysis

  Yirang Yuan, Qing Yang, Changfeng Li, Tongjun Sun

  2017-10-01

  39283 2708 Pages:541-561

• Numerical Approximation to a Stochastic Parabolic PDE with Weak Galerkin Method

  Hongze Zhu, Yongkui Zou, Shimin Chai, Chenguang Zhou

  2018-09-17

  41832 2767 Pages:604-617

• A Novel Semi-Analytical Multiple Invariants-Preserving Integrator for Conservative PDEs

  Wei Shi, Bin Wang, Kai Liu

  2026-01-21

  127 197

• A Review of Unified a Posteriori Finite Element Error Control

  C. Carstensen, M. Eigel, R. H. W. Hoppe, C. Loebhard

  2012-05-01

  45114 4504 Pages:509-558 Open-access

• A Simple Semi-Implicit Scheme for Partial Differential Equations with Obstacle Constraints

  Hao Liu, Shingyu Leung

  2020-03-16

  44038 2973 Pages:620-643

• Error Analysis for Empirical Risk Minimization over Clipped ReLU Networks in Solving Linear Kolmogorov Partial Differential Equations

  Jichang Xiao, Xiaoqun Wang

  2024-12-11

  12052 1376 Pages:996-1017

• Spectral Method for Nonlinear Stochastic Partial Differential Equations of Elliptic Type

  Yanzhao Cao, Li Yin

  2011-04-01

  40605 4565 Pages:38-52

• Evaluation Finite Moment Log-Stable Option Pricing by a Spectral Method

  Xu Guo, Leevan Ling

  2018-09-17

  51265 2880 Pages:437-452

• A Linearized High-Order Combined Compact Difference Scheme for Multi-Dimensional Coupled Burgers' Equations

  Buyun Chen, Dongdong He, Kejia Pan

  2018-09-17

  42340 2921 Pages:299-320

• Error Analysis of the Mixed Residual Method for Elliptic Equations

  Kai Gu, Peng Fang, Zhiwei Sun, Rui Du

  2024-05-11

  21183 1746 Pages:534-554

• Mean-Square Approximation of Navier-Stokes Equations with Additive Noise in Vorticity-Velocity Formulation

  G.N. Milstein, M.V. Tretyakov

  2020-10-09

  49037 3923 Pages:1-30

• High-Order Methods for Exotic Options and Greeks Under Regime-Switching Jump-Diffusion Models

  Jingtang Ma, Han Wang, Zhiqiang Zhou, Zhijun Tan

  2020-03-09

  44514 2801 Pages:497-515

• Quasi-Monte Carlo Sampling for Solving Partial Differential Equations by Deep Neural Networks

  Jingrun Chen, Rui Du, Panchi Li, Liyao Lyu

  2021-01-26

  46499 2782 Pages:377-404

• Generating Layer-Adapted Meshes Using Mesh Partial Differential Equations

  Róisín Hill, Niall Madden

  2021-06-02

  61265 3272 Pages:559-588

• Strong Convergence of a Fully Discrete Scheme for Multiplicative Noise Driving SPDEs with Non-Globally Lipschitz Continuous Coefficients

  Xu Yang, Weidong Zhao

  2021-09-10

  45811 2782 Pages:1085-1109

• Convergence Analysis of a Quasi-Monte Carlo-Based Deep Learning Algorithm for Solving Partial Differential Equations

  Fengjiang Fu, Xiaoqun Wang

  2023-08-29

  28526 2540 Pages:668-700

• High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations

  Xia Ji, Huazhong Tang

  2012-05-01

  41800 3684 Pages:333-358