Search Results

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

  Jürgen Geiser

  2008-01-01

  39264 3571 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

  45671 2890 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

  40304 3187 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

  27920 2450 Pages:931-953

• ODE-Based Multistep Schemes for Backward Stochastic Differential Equations

  Shuixin Fang, Weidong Zhao

  2023-11-07

  28458 2443 Pages:1053-1086

• 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

  53487 3136 Pages:881-907

• 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

  41700 4537 Pages:23-40

• Sparse Deep Neural Network for Nonlinear Partial Differential Equations

  Yuesheng Xu, Taishan Zeng

  2023-01-13

  34548 3197 Pages:58-78

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

  Jiang Yang, Quanhui Zhu

  2022-02-09

  47238 4622 Pages:42-67

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

  Xing Fu, J. Nathan Kutz

  2017-11-02

  39414 2689 Pages:872-894

• 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

  39284 2710 Pages:541-561

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

  Wei Shi, Bin Wang, Kai Liu

  2026-01-21

  130 204

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

  Hongze Zhu, Yongkui Zou, Shimin Chai, Chenguang Zhou

  2018-09-17

  41835 2774 Pages:604-617

• A Review of Unified a Posteriori Finite Element Error Control

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

  2012-05-01

  45118 4508 Pages:509-558 Open-access

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

  Yanzhao Cao, Li Yin

  2011-04-01

  40607 4572 Pages:38-52

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

  Jichang Xiao, Xiaoqun Wang

  2024-12-11

  12055 1377 Pages:996-1017

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

  Hao Liu, Shingyu Leung

  2020-03-16

  44039 2976 Pages:620-643

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

  Xu Guo, Leevan Ling

  2018-09-17

  51269 2884 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

  42345 2923 Pages:299-320

• Error Analysis of the Mixed Residual Method for Elliptic Equations

  Kai Gu, Peng Fang, Zhiwei Sun, Rui Du

  2024-05-11

  21189 1749 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

  49043 3927 Pages:1-30

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

  Jingrun Chen, Rui Du, Panchi Li, Liyao Lyu

  2021-01-26

  46504 2785 Pages:377-404

• Generating Layer-Adapted Meshes Using Mesh Partial Differential Equations

  Róisín Hill, Niall Madden

  2021-06-02

  61270 3274 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

  45817 2783 Pages:1085-1109

• 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

  44520 2803 Pages:497-515

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

  Fengjiang Fu, Xiaoqun Wang

  2023-08-29

  28531 2542 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

  41801 3686 Pages:333-358