Search Results

• Numerical Simulations for Full History Recursive Multilevel Picard Approximations for Systems of High-Dimensional Partial Differential Equations

  Sebastian Becker, Ramon Braunwarth, Martin Hutzenthaler, Arnulf Jentzen, Philippe von Wurstemberger

  2020-11-18

  64386 3357 Pages:2109-2138

• Learning PDEs from Data on Closed Surfaces with Sparse Optimization

  Zhengjie Sun, Leevan Ling, Ran Zhang

  2025-09-02

  11900 956 Pages:289-314

• The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

  Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura

  2023-04-28

  32683 3189 Pages:733-763 Open-access

• Structure-Preserving Numerical Methods for Stochastic Poisson Systems

  Jialin Hong, Jialin Ruan, Liying Sun, Lijin Wang

  2021-01-13

  47408 3382 Pages:802-830

• Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm

  Jiang Yu Nguwi, Guillaume Penent, Nicolas Privault

  2023-09-04

  33490 2855 Pages:261-289

• Reduction of Linear Systems of ODEs with Optimal Replacement Variables

  Alex Solomonoff & Wai Sun Don

  2011-03-05

  39330 4003 Pages:756-779

• Long-Time Integration of Nonlinear Wave Equations with Neural Operators

  Guanhang Lei, Zhen Lei, Lei Shi

  2026-01-18

  242 59 Pages:1137-1163

• Integral Regularization PINNs for Evolution Equations

  Xiaodong Feng, Haojiong Shangguan, Tao Tang, Xiaoliang Wan

  2026-02-15

  3808 139 Pages:356-386

• Simulation of Inviscid Compressible Flows Using PDE Transform

  Langhua Hu, Siyang Yang & Guo-Wei Wei

  2014-11-08

  43233 5627 Pages:1201-1238

• A Nonlinear Elimination Preconditioner for Fully Coupled Space-Time Solution Algorithm with Applications to High-Rayleigh Number Thermal Convective Flow Problems

  Haijian Yang & Feng-Nan Hwang

  2019-04-28

  46149 3236 Pages:749-767

• Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient

  Alessandra Spilimbergo, Eleuterio F. Toro, Lucas O. Müller

  2024-10-09

  15699 1215 Pages:711-780

• Learning Specialized Activation Functions for Physics-Informed Neural Networks

  Honghui Wang, Lu Lu, Shiji Song, Gao Huang

  2023-11-08

  34553 2896 Pages:869-906

• DL-PDE: Deep-Learning Based Data-Driven Discovery of Partial Differential Equations from Discrete and Noisy Data

  Hao Xu, Haibin Chang, Dongxiao Zhang

  2021-01-13

  55176 3525 Pages:698-728

• Preface

  2020-11-18

  245 60 Pages:i-i

• Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications

  Hannes Uecker

  2018-11-09

  48327 3454 Pages:812-852

• High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

  Liang Wu, Yong-Tao Zhang, Shuhai Zhang & Chi-Wang Shu

  2018-04-04

  40482 3195 Pages:835-869

• Galerkin Method for Wave Equations with Uncertain Coefficients

  David Gottlieb & Dongbin Xiu

  2018-03-24

  39856 4218 Pages:505-518