Search Results

• Simulation of Inviscid Compressible Flows Using PDE Transform

  Langhua Hu, Siyang Yang, Guo-Wei Wei

  2014-11-08

  43315 5658 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

  55420 3557 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

  45191 3171 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

  37534 4119 Pages:777-792

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

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  9031 519 Pages:1383-1416

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

  Andrew T. Barker, Tyrone Rees, Martin Stoll

  2018-04-03

  40113 4587 Pages:143-167

• The Unified Coordinate System in Computational Fluid Dynamics

  W. H. Hui

  2007-02-01

  39226 4189 Pages:577-610

• PDE Constrained Optimization and Design of Frozen Mode Crystals

  S. Chun, J. S. Hesthaven

  2008-03-01

  37687 3891 Pages:878-898

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

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

  2022-08-11

  303892 3516 Pages:336-363

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

  Min Zhang, Weizhang Huang

  2026-02-15

  3989 141 Pages:513-552

• 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

  4663 401 Pages:1237-1330

• 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

  43309 4864 Pages:947-975 Open-access

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

  Paul A. Zegeling, Istvan Lagzi, Ferenc Izsak

  2011-10-01

  40506 4276 Pages:867-881

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

  Walter Boscheri, Michael Dumbser

  2013-11-05

  40598 3990 Pages:1174-1206

• 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

  42273 4275 Pages:228-258

• Learning Specialized Activation Functions for Physics-Informed Neural Networks

  Honghui Wang, Lu Lu, Shiji Song, Gao Huang

  2023-11-08

  34812 2962 Pages:869-906

• 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

  64566 3385 Pages:2109-2138

• 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

  89495 4608 Pages:2042-2074

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

  Michael Dumbser, Ariunaa Uuriintsetseg, Olindo Zanotti

  2014-08-05

  41214 4160 Pages:301-327

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

  Jianguo Huang, Yue Yu

  2021-08-10

  47078 3114 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

  43792 3205 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

  59545 3983 Pages:930-954

• 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

  151264 6957 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

  62653 3497 Pages:2158-2179

• A Distributed Optimal Control Problem with Averaged Stochastic Gradient Descent

  Qi Sun, Qiang Du

  2020-07-30

  46704 3743 Pages:753-774

• A Fast State-Based Peridynamic Numerical Model

  Ning Du, Xu Guo, Hong Wang

  2020-03-06

  52432 5331 Pages:274-291

• Computational Optimal Design of Random Rough Surfaces in Thin-Film Solar Cells

  Gang Bao, Yanzhao Cao, Junshan Lin, Hans Werner Van Wyk

  2019-01-10

  47336 3816 Pages:1591-1612