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• High Efficient Numerical Simulation of Infrared Radiation from a Hot Exhaust Nozzle

  Haiyang Hu, Peng Bai & Qiang Wang

  2020-07-31

  39275 3816 Pages:1182-1204

• A Numerical Methodology for Enforcing Maximum Principles and the Non-Negative Constraint for Transient Diffusion Equations

  K. B. Nakshatrala, H. Nagarajan & M. Shabouei

  2018-04-03

  40312 4613 Pages:53-93

• Error Estimates of Some Numerical Atomic Orbitals in Molecular Simulations

  Huajie Chen & Reinhold Schneider

  2018-04-03

  41966 4569 Pages:125-146

• A Compact Scheme for Coupled Stochastic Nonlinear Schrödinger Equations

  Chuchu Chen, Jialin Hong, Lihai Ji & Linghua Kong

  2018-04-08

  41290 4495 Pages:93-125

• General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows

  Jianan Zeng, Wei Su, Lei Wu

  2023-08-14

  33585 3269 Pages:173-207

• An Efficient Spectral Method for the Inextensible Immersed Interface in Incompressible Flows

  Xiaoling Liu, Fangying Song & Chuanju Xu

  2018-12-08

  48988 3487 Pages:1071-1096

• MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

  Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang

  2024-10-29

  147 68 Pages:943-976

• 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

• A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

  Yue Yan, Wenbin Chen, Cheng Wang & Steven M. Wise

  2018-08-21

  51465 3299 Pages:572-602

• 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

• Comparison of Finite Difference and Mixed Finite Element Methods for Perfectly Matched Layer Models

  V. A. Bokil & M. W. Buksas

  2007-02-01

  38617 3969 Pages:806-826

• 3D-Simulations of Transverse Optical Modes of the Free Electron Laser Resonator with Hole Output Coupling

  Y. Dou, X. Shu & Y. Wang

  2006-01-01

  39475 3973 Pages:920-929

• Super-Closeness Between the Ritz Projection and the Finite Element Solution for Some Elliptic Problems

  Ruosi Liang, Yue Yan, Wenbin Chen, Yanqiu Wang

  2020-06-05

  47240 3111 Pages:803-826

• Optimal Error Estimates of a Linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki Equations

  Dongfang Li, Waixiang Cao, Chengjian Zhang & Zhimin Zhang

  2019-04-28

  48462 3306 Pages:838-854

• High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows

  Michel Fournié & Alain Rigal

  2011-09-01

  38133 3846 Pages:994-1019

• A Lowest-Order Mixed Finite Element Method for the Elastic Transmission Eigenvalue Problem

  Yingxia Xi, Xia Ji

  2020-07-21

  47228 3099 Pages:1105-1132

• A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity

  Maurice S. Fabien

  2019-12-07

  47103 4858 Pages:513-545 Open-access

• Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities

  Siqing Li & Leevan Ling

  2019-04-28

  45793 3059 Pages:785-808

• High-Order Symplectic Schemes for Stochastic Hamiltonian Systems

  Jian Deng, Cristina Anton & Yau Shu Wong

  2014-07-06

  41218 4201 Pages:169-200

• Accurate Boundary Conditions for Twin Boundary

  Shaoqiang Tang, Xi Zhu

  2020-12-02

  45953 3266 Pages:399-419

• Analysis and Numerical Simulation of Hyperbolic Shallow Water Moment Equations

  Julian Koellermeier, Marvin Rominger

  2020-07-21

  47599 3175 Pages:1038-1084

• A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm

  Xiaohan Zhu, Yuezheng Gong, Yushun Wang

  2025-09-05

  3420 288 Pages:1210-1236

• Stability of a Leap-Frog Discontinuous Galerkin Method for Time-Domain Maxwell's Equations in Anisotropic Materials

  Adérito Araújo, Sílvia Barbeiro & Maryam Khaksar Ghalati

  2018-04-09

  41370 3284 Pages:1350-1375

• Modification and Numerical Method for the Jiles-Atherton Hysteresis Model

  Guangming Xue, Peilin Zhang, Zhongbo He, Dongwei Li, Zhaoshu Yang & Zhenglong Zhao

  2018-04-09

  42157 3164 Pages:763-781

• Two-Dimensional Multi-Domain Hybrid Spectral-WENO Methods for Conservation Laws

  B. Costa, W. S. Don, D. Gottlieb & R. Sendersky

  2006-01-01

  61 29 Pages:548-574

• Modelling and Numerical Shape and Topology Optimization for a Hemivariational Inequality in Stokes Flows with Slip Boundary Conditions

  Fang Feng, Hui Yang, Shengfeng Zhu

  2025-08-23

  5931 388 Pages:850-886

• The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

  Ping Zeng, Guanyu Zhou

  2024-05-06

  27860 2014 Pages:1073-1119