Search Results

• Simulation of Inviscid Compressible Flows Using PDE Transform

  Langhua Hu, Siyang Yang & Guo-Wei Wei

  2014-11-08

  43159 5609 Pages:1201-1238

• 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

  54997 3468 Pages:698-728

• Upwind Biased Local RBF Scheme with PDE Centres for the Steady Convection Diffusion Equations with Continuous and Discontinuous Boundary Conditions

  K. Monysekar, Y. V. S. S. Sanyasiraju

  2019-12-07

  44991 3113 Pages:460-479

• Model the Solvent-Excluded Surface of 3D Protein Molecular Structures Using Geometric PDE-Based Level-Set Method

  Qing Pan & Xue-Cheng Tai

  2009-06-01

  37387 4060 Pages:777-792

• A Fast Solver for an $\mathcal{H}_1$ Regularized PDE-Constrained Optimization Problem

  Andrew T. Barker, Tyrone Rees & Martin Stoll

  2018-04-03

  39961 4495 Pages:143-167

• Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  194 50 Pages:1383-1416

• Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

  Walter Boscheri & Michael Dumbser

  2013-11-05

  40413 3938 Pages:1174-1206

• Transition of Liesegang Precipitation Systems: Simulations with an Adaptive Grid PDE Method

  Paul A. Zegeling, István Lagzi & Ferenc Izsák

  2011-10-01

  40350 4222 Pages:867-881

• Nonlinear Stochastic Galerkin and Collocation Methods: Application to a Ferromagnetic Cylinder Rotating at High Speed

  Eveline Rosseel, Herbert De Gersem & Stefan Vandewalle

  2010-08-01

  76 35 Pages:947-975 Open-access

• PDE Constrained Optimization and Design of Frozen Mode Crystals

  S. Chun & J. S. Hesthaven

  2008-03-01

  37534 3836 Pages:878-898

• The Unified Coordinate System in Computational Fluid Dynamics

  W. H. Hui

  2007-02-01

  39056 4107 Pages:577-610

• On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws

  Michael Dumbser, Ariunaa Uuriintsetseg & Olindo Zanotti

  2014-08-05

  41063 4125 Pages:301-327

• Point Integral Method for Solving Poisson-Type Equations on Manifolds from Point Clouds with Convergence Guarantees

  Zhen Li, Zuoqiang Shi, Jian Sun

  2019-10-31

  42082 4180 Pages:228-258

• On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

  Yeonjong Shin, Jérôme Darbon, George Em Karniadakis

  2020-11-18

  88478 4440 Pages:2042-2074

• Frame Invariance and Scalability of Neural Operators for Partial Differential Equations

  Muhammad I. Zafar, Jiequn Han, Xu-Hui Zhou, Heng Xiao

  2022-08-11

  303702 3397 Pages:336-363

• Learning Specialized Activation Functions for Physics-Informed Neural Networks

  Honghui Wang, Lu Lu, Shiji Song, Gao Huang

  2023-11-08

  34363 2783 Pages:869-906

• The Effective Use of BLAS Interface for Implementation of Finite-Element ADER-DG and Finite-Volume ADER-WENO Methods

  I. S. Popov

  2025-09-18

  4216 306 Pages:1237-1330

• A Unifying Moving Mesh Method for Curves, Surfaces, and Domains Based on Mesh Equidistribution and Alignment

  Min Zhang, Weizhang Huang

  2025-11-28

  902 26 Pages:513-552

• 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

  64226 3325 Pages:2109-2138

• MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

  Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma

  2022-08-11

  306975 3553 Pages:299-335

• Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

  Walter Boscheri, Michael Dumbser, Elena Gaburro

  2022-07-06

  42146 3668 Pages:259-298

• A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation

  Jianguo Huang, Yue Yu

  2021-08-10

  46892 3055 Pages:1009-1036

• Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study

  Adam Larios, Collin Victor

  2021-02-25

  43615 3142 Pages:1273-1298

• Solving Allen-Cahn and Cahn-Hilliard Equations Using the Adaptive Physics Informed Neural Networks

  Colby L. Wight, Jia Zhao

  2021-01-13

  58901 3820 Pages:930-954

• Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems

  Yue Yan, Weijia Li, Wenbin Chen & Yanqiu Wang

  2018-09-17

  45851 3282 Pages:510-530

• Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

  Ameya D. Jagtap, George Em Karniadakis

  2020-11-18

  147761 6053 Pages:2002-2041

• Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning

  Yufei Wang, Ziju Shen, Zichao Long, Bin Dong

  2020-11-18

  62322 3419 Pages:2158-2179