Search Results

• Simulation of Inviscid Compressible Flows Using PDE Transform

  Langhua Hu, Siyang Yang, Guo-Wei Wei

  2014-11-08

  DOI:10.4208/cicp.031113.160514a

  43318 5659 pp. 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

  DOI:10.4208/cicp.OA-2020-0142

  55435 3561 pp. 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

  DOI:10.4208/cicp.OA-2018-0054

  45198 3172 pp. 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

  37539 4122 pp. 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

  DOI:10.4208/cicp.OA-2023-0327

  9043 520 pp. 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

  DOI:10.4208/cicp.190914.080415a

  40116 4592 pp. 143-167

• The Unified Coordinate System in Computational Fluid Dynamics

  W. H. Hui

  2007-02-01

  39231 4190 pp. 577-610

• PDE Constrained Optimization and Design of Frozen Mode Crystals

  S. Chun, J. S. Hesthaven

  2008-03-01

  37689 3894 pp. 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

  DOI:10.4208/cicp.OA-2021-0256

  303899 3517 pp. 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

  DOI:10.4208/cicp.OA-2025-0004

  4016 146 pp. 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

  DOI:10.4208/cicp.OA-2024-0202

  4680 402 pp. 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

  DOI:10.4208/cicp.220509.200110a

  43311 4869 pp. 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

  DOI:10.4208/cicp.050510.031210a

  40508 4279 pp. 867-881

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

  Walter Boscheri, Michael Dumbser

  2013-11-05

  DOI:10.4208/cicp.181012.010313a

  40600 3991 pp. 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

  DOI:10.4208/cicp.111015.250716a

  42282 4279 pp. 228-258

• Learning Specialized Activation Functions for Physics-Informed Neural Networks

  Honghui Wang, Lu Lu, Shiji Song, Gao Huang

  2023-11-08

  DOI:10.4208/cicp.OA-2023-0058

  34829 2964 pp. 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

  DOI:10.4208/cicp.OA-2020-0130

  64587 3389 pp. 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

  DOI:10.4208/cicp.OA-2020-0193

  89565 4614 pp. 2042-2074

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

  Michael Dumbser, Ariunaa Uuriintsetseg, Olindo Zanotti

  2014-08-05

  DOI:10.4208/cicp.310112.120912a

  41217 4163 pp. 301-327

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

  Jianguo Huang, Yue Yu

  2021-08-10

  DOI:10.4208/cicp.OA-2020-0248

  47082 3115 pp. 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

  DOI:10.4208/cicp.OA-2018-0315

  43797 3207 pp. 1273-1298

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

  Colby L. Wight, Jia Zhao

  2021-01-13

  DOI:10.4208/cicp.OA-2020-0086

  59575 3990 pp. 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

  DOI:10.4208/cicp.OA-2020-0164

  151550 6990 pp. 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

  DOI:10.4208/cicp.OA-2020-0194

  62676 3497 pp. 2158-2179

• A Distributed Optimal Control Problem with Averaged Stochastic Gradient Descent

  Qi Sun, Qiang Du

  2020-07-30

  DOI:10.4208/cicp.OA-2018-0295

  46717 3747 pp. 753-774

• A Fast State-Based Peridynamic Numerical Model

  Ning Du, Xu Guo, Hong Wang

  2020-03-06

  DOI:10.4208/cicp.OA-2018-0288

  52439 5336 pp. 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

  DOI:10.4208/cicp.OA-2018-0013

  47343 3819 pp. 1591-1612