Search Results

• Exponential Fourier Collocation Methods for Solving First-Order Differential Equations

  Bin Wang, Xinyuan Wu, Fanwei Meng, Yonglei Fang

  2021-07-01

  41220 3812 Pages:711-736

• Grid-Independent Construction of Multistep Methods

  Carmen Arévalo, Gustaf Söderlind

  2018-08-22

  38150 2902 Pages:672-692

• Mixed Interior Penalty Discontinuous Galerkin Methods for One-Dimensional Fully Nonlinear Second Order Elliptic and Parabolic Equations

  Xiaobing Feng, Thomas Lewis

  2018-08-22

  36975 4929 Pages:107-135 Open-access

• High Order Numerical Methods to Two Dimensional Heaviside Function Integrals

  Xin Wen

  2018-08-22

  34974 3871 Pages:305-323

• The Best $L^2$ Norm Error Estimate of Lower Order Finite Element Methods for the Fourth Order Problem

  Jun Hu, Zhong-Ci Shi

  2018-08-22

  36478 3441 Pages:449-460

• On the Explicit Two-Stage Fourth-Order Accurate Time Discretizations

  Yuhuan Yuan, Huazhong Tang

  2022-11-15

  300813 3042 Pages:305-324

• Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear PDEs

  Ruihan Guo, Yan Xu

  2023-12-01

  31653 3067 Pages:111-133

• Numerical Boundary Conditions for the Fast Sweeping High Order WENO Methods for Solving the Eikonal Equation

  Ling Huang, Chi-Wang Shu, Mengping Zhang

  2018-08-07

  32569 3747 Pages:336-346

• Efficient Sixth Order P-Stable Methods with Minimal Local Truncation Error for $y"=f(x,y)$

  Kai-Li Xiang, R. M. Thomas

  2002-04-02

  31584 3417 Pages:175-184

• Modified Parallel Rosenbrock Methods for Stiff Differential Equations

  Xue-Nian Cao, Shou-Fu Li, De-Gui Liu

  2002-02-02

  33387 4029 Pages:23-34

• High-Accuracy P-Stable Methods with Minimal Phase-Lag for $y "= f(t, y) ^*$

  K. L. Xiang

  1995-06-02

  32907 3356 Pages:232-242

• High-Order Symplectic and Symmetric Composition Methods for Multi-Frequency and Multi-Dimensional Oscillatory Hamiltonian Systems

  Kai Liu, Xinyuan Wu

  2018-08-22

  37036 2849 Pages:356-378

• Analysis of Two Any Order Spectral Volume Methods for 1-D Linear Hyperbolic Equations with Degenerate Variable Coefficients

  Minqiang Xu, Yanting Yuan, Waixiang Cao, Qingsong Zou

  2024-11-13

  11856 1263 Pages:1627-1655

• Simplified Explicit Exponential Runge-Kutta Methods Without Order Reduction

  Begoña Cano, María Jesús Moreta

  2025-10-30

  4511 303 Pages:1604-1620

• Multiplicative Extrapolation Method for Constructing Higher Order Schemes for Ordinary Differential Equations

  Meng-Zhao Qin, Wei-Jie Zhu

  2021-07-01

  34666 3709 Pages:352-356

• Essentially Symplectic Boundary Value Methods for Linear Hamiltonian Systems

  L. Brugnano

  1997-06-02

  32086 3629 Pages:233-252

• Implicit-Explicit Runge-Kutta-Rosenbrock Methods with Error Analysis for Nonlinear Stiff Differential Equations

  Bin Huang, Aiguo Xiao, Gengen Zhang

  2021-07-05

  39750 3145 Pages:599-620

• A General High-Order Multi-Domain Hybrid DG/WENO-FD Method for Hyperbolic Conservation Laws

  Jian Cheng, Kun Wang, Tiegang Liu

  2018-08-22

  38892 4793 Pages:30-48

• Optimality of Local Multilevel Methods for Adaptive Nonconforming P1 Finite Element Methods

  Xuejun Xu, Huangxin Chen, R. H. W. Hoppe

  2018-08-22

  35795 3878 Pages:22-46

• Arbitrarily High-Order Energy-Conserving Methods for Hamiltonian Problems with Quadratic Holonomic Constraints

  Pierluigi Amodio, Luigi Brugnano, Gianluca Frasca-Caccia, Felice Iavernaro

  2024-04-09

  26308 1964 Pages:1145-1171

• Two Novel Gradient Methods with Optimal Step Sizes

  Harry Oviedo, Oscar Dalmau, Rafael Herrera

  2021-04-07

  42864 3515 Pages:375-391

• Boundary Value Methods for Caputo Fractional Differential Equations

  Yongtao Zhou, Chengjian Zhang, Huiru Wang

  2021-06-10

  43274 4777 Pages:108-129

• Symplectic RK Methods and Symplectic PRK Methods with Real Eigenvalues

  Hongyu Liu, Geng Sun

  2004-10-02

  34632 3510 Pages:769-776

• Spectral and Spectral Element Methods for High Order Problems with Mixed Boundary Conditions

  Benyu Guo, Tao Sun, Chao Zhang

  2018-08-22

  37285 4317 Pages:392-411 Open-access

• High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

  Ruihan Guo, Liangyue Ji, Yan Xu

  2018-08-22

  41309 3038 Pages:135-158

• Finite Element Methods for a Bi-Wave Equation Modeling D-Wave Superconductors

  Xiaobing Feng, Michael Neilan

  2018-08-22

  33573 3634 Pages:331-353

• Stable Fourth-Order Stream-Function Methods for Incompressible Flows with Boundaries

  Thomas Y. Hou, Brian R. Wetton

  2009-08-02

  33241 3401 Pages:441-458