Search Results

• Relaxation Exponential Runge-Kutta Methods and Their Applications to Semilinear Dissipative/Conservative Systems

  Dongfang Li, Xiaoxi Li, Jiang Yang

  2024-10-29

  192 80 Pages:908-942

• High Order Finite Difference Discretization for Composite Grid Hierarchy and Its Applications

  Qun Gu, Weiguo Gao, Carlos J. García-Cervera

  2020-07-30

  41764 3408 Pages:1211-1233

• GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

  Rajesh Gandham, David Medina & Timothy Warburton

  2018-04-03

  42400 4524 Pages:37-64

• Numerical Methods for Solving the Hartree-Fock Equations of Diatomic Molecules I

  John C. Morrison, Scott Boyd, Luis Marsano, Bernard Bialecki, Thomas Ericsson & Jose Paulo Santos

  2009-05-01

  38732 4000 Pages:959-985

• A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

  Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang

  2020-11-26

  46211 4304 Pages:237-264

• 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

• Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations

  Yan Xu & Chi-Wang Shu

  2010-07-01

  42047 4741 Pages:1-46 Open-access

• A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions

  Yaqin Zhang, Ke Li, Zhipeng Chang, Xuejiao Liu, Yunqing Huang, Xueshuang Xiang

  2025-07-11

  5046 565 Pages:181-222

• 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

• Eulerian Algorithms for Computing the Forward Finite Time Lyapunov Exponent Without Finite Difference upon the Flow Map

  Guoqiao You, Changfeng Xue, Shaozhong Deng

  2022-05-06

  43948 3255 Pages:1467-1488

• 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

• Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations

  Bradley E. Treeby, Elliott S. Wise & B. T. Cox

  2018-09-17

  46602 3271 Pages:623-634

• A Robust and Efficient Adaptive Multigrid Solver for the Optimal Control of Phase Field Formulations of Geometric Evolution Laws

  Feng Wei Yang, Chandrasekhar Venkataraman, Vanessa Styles & Anotida Madzvamuse

  2018-04-08

  41519 4517 Pages:65-92

• Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations

  M. J. Baines, M. E. Hubbard & P. K. Jimack

  2011-10-01

  39903 4885 Pages:509-576 Open-access

• A Splitting Method for Nonlinear Filtering Problems with Diffusive and Point Process Observations

  Fengshan Zhang, Yongkui Zou, Shimin Chai, Yanzhao Cao

  2024-10-29

  142 57 Pages:996-1020

• Laplacian Preconditioning for the Inverse Arnoldi Method

  Laurette S. Tuckerman

  2020-07-30

  40485 3374 Pages:1336-1351

• A Simple, Fast and Stabilized Flowing Finite Volume Method for Solving General Curve Evolution Equations

  Karol Mikula, Daniel Ševčovič, Martin Balažovjech

  2010-07-01

  41031 4246 Pages:195-211

• Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations

  Yubin Lu, Chi-An Chen, Xiaofan Li, Chun Liu

  2024-06-14

  27753 1809 Pages:1352-1386

• Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition

  Mingze Qin, Ruishu Wang, Qilong Zhai, Ran Zhang

  2023-03-13

  38969 3296 Pages:568-595

• 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

• The Hyperbolic Schrödinger Equation and the Quantum Lattice Boltzmann Approximation

  Renato Spigler

  2022-05-06

  44414 3262 Pages:1341-1361

• Discrete Duality Finite Volume Discretization of the Thermal-$P_N$ Radiative Transfer Equations on General Meshes

  Francois Hermeline

  2022-01-27

  42740 3302 Pages:398-448

• An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh

  Xiulei Cao & Huaxiong Huang

  2019-04-04

  46868 3414 Pages:389-412

• Fully-Coupled Multi-Physical Simulation with Physics-Based Nonlinearity-Elimination Preconditioned Inexact Newton Method for Enhanced Oil Recovery

  Huiying Tang, Shihao Wang, Congbin Yin, Yuan Di, Yu-Shu Wu & Yonghong Wang

  2018-09-01

  45916 5353 Pages:244-265

• A Comparison of Fourier Spectral Iterative Perturbation Method and Finite Element Method in Solving Phase-Field Equilibrium Equations

  Pengcheng Song, Tiannan Yang, Yanzhou Ji, Zhuo Wang, Zhigang Yang, Longqing Chen & Lei Chen

  2018-04-09

  42216 3649 Pages:1325-1349

• 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

  40437 3173 Pages:835-869

• A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

  Raphaël Loubère, Michael Dumbser & Steven Diot

  2014-12-08

  39523 3826 Pages:718-763