Search Results

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

  Bin Wang, Xinyuan Wu, Fanwei Meng, Yonglei Fang

  2021-07-01

  41005 3738 Pages:711-736

• Grid-Independent Construction of Multistep Methods

  Carmen Arévalo, Gustaf Söderlind

  2018-08-22

  37949 2843 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

  36756 4816 Pages:107-135 Open-access

• High Order Numerical Methods to Two Dimensional Heaviside Function Integrals

  Xin Wen

  2018-08-22

  34753 3796 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

  36240 3352 Pages:449-460

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

  Yuhuan Yuan, Huazhong Tang

  2022-11-15

  300579 2943 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

  31302 2846 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

  32352 3687 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

  31396 3365 Pages:175-184

• Modified Parallel Rosenbrock Methods for Stiff Differential Equations

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

  2002-02-02

  33203 3924 Pages:23-34

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

  K. L. Xiang

  1995-06-02

  32710 3312 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

  36809 2792 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

  11544 1148 Pages:1627-1655

• Simplified Explicit Exponential Runge-Kutta Methods Without Order Reduction

  Begoña Cano, María Jesús Moreta

  2025-10-30

  4051 198 Pages:1604-1620

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

  Meng-Zhao Qin, Wei-Jie Zhu

  2021-07-01

  34469 3656 Pages:352-356

• Essentially Symplectic Boundary Value Methods for Linear Hamiltonian Systems

  L. Brugnano

  1997-06-02

  31886 3587 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

  39485 3063 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

  38693 4678 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

  35571 3784 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

  26030 1906 Pages:1145-1171

• Two Novel Gradient Methods with Optimal Step Sizes

  Harry Oviedo, Oscar Dalmau, Rafael Herrera

  2021-04-07

  42544 3353 Pages:375-391

• Boundary Value Methods for Caputo Fractional Differential Equations

  Yongtao Zhou, Chengjian Zhang, Huiru Wang

  2021-06-10

  43013 4671 Pages:108-129

• Symplectic RK Methods and Symplectic PRK Methods with Real Eigenvalues

  Hongyu Liu, Geng Sun

  2004-10-02

  34456 3461 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

  37071 4190 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

  41007 2977 Pages:135-158

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

  Xiaobing Feng & Michael Neilan

  2018-08-22

  33375 3570 Pages:331-353

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

  Thomas Y. Hou & Brian R. Wetton

  2009-08-02

  33028 3343 Pages:441-458