Search Results

• Chebyshev Methods with Discrete Noise: The $\tau$-ROCK Methods

  Assyr Abdulle, Yucheng Hu, Tiejun Li

  2018-08-22

  DOI:10.4208/jcm.2009.10-m1004

  37355 3552 pp. 195-217

• Quadratic Invariants and Symplectic Structure of General Linear Methods

  Ai-Guo Xiao, Shou-Fu Li, Min Yang

  2001-06-02

  33653 3815 pp. 269-280

• Tamed Stochastic Runge-Kutta-Chebyshev Methods for Stochastic Differential Equations with Non-Globally Lipschitz Coefficients

  Yanyan Yu, Aiguo Xiao, Xiao Tang

  2025-07-12

  DOI:10.4208/jcm.2402-m2023-0194

  6390 529 pp. 840-865

• Waveform Relaxation Methods for Lie-Group Equations

  Yao-Lin Jiang, Zhen Miao, Yi Lu

  2022-10-06

  DOI:10.4208/jcm.2101-m2020-0214

  38653 3351 pp. 649-666

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

  Yuhuan Yuan, Huazhong Tang

  2022-11-15

  DOI:10.4208/jcm.2201-m2020-0288

  300817 3048 pp. 305-324

• Energy and Quadratic Invariants Preserving Methods for Hamiltonian Systems with Holonomic Constraints

  Lei Li, Dongling Wang

  2022-12-01

  DOI:10.4208/jcm.2106-m2020-0205

  296577 3672 pp. 107-132

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

  Bin Huang, Aiguo Xiao, Gengen Zhang

  2021-07-05

  DOI:10.4208/jcm.2005-m2019-0238

  39756 3153 pp. 599-620

• A Class of Two-Step Continuity Runge-Kutta Methods for Solving Singular Delay Differential Equations and Its Stability Analysis

  X Leng, DG Liu, XQ Song, LR Chen

  2021-07-01

  32422 3463 pp. 647-656

• The GPL-Stability of Runge-Kutta Methods for Delay Differential Systems

  B Yang, L Qiu, JX Kuang

  2000-02-02

  33655 3967 pp. 75-82

• A Simple Way Constructing Symplectic Runge-Kutta Methods

  Geng Sun

  2000-02-02

  33592 4988 pp. 61-68

• Order Properties and Construction of Symplectic Runge-Kutta Methods

  Shou-Fu Li

  2021-07-01

  33436 3574 pp. 645-656

• Convergence of Parallel Diagonal Iteration of Runge-Kutta Methods for Delay Differential Equations

  Xiaohua Ding, Mingzhu Liu

  2004-06-02

  32972 3456 pp. 361-370

• Symplectic RK Methods and Symplectic PRK Methods with Real Eigenvalues

  Hongyu Liu, Geng Sun

  2004-10-02

  34637 3514 pp. 769-776

• $\mathcal{H}$-Stability of Runge-Kutta Methods with Variable Stepsize for System of Pantograph Equations

  Yang Xu, Jingjun Zhao, Mingzhu Liu

  2004-10-02

  267 84 pp. 727-734

• Multistep Discretization of Index 3 DAEs

  Yang Cao, Qing-Yang Li

  2000-06-02

  32101 3440 pp. 325-336

• Essentially Symplectic Boundary Value Methods for Linear Hamiltonian Systems

  L. Brugnano

  1997-06-02

  32088 3631 pp. 233-252

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

  Kai Liu, Xinyuan Wu

  2018-08-22

  DOI:10.4208/jcm.1502-m2014-0082

  37042 2854 pp. 356-378

• Characterizations of Symmetric Multistep Runge-Kutta Methods

  Aiguo Xiao, Siqing Gan

  2021-07-01

  35283 3831 pp. 791-796

• Stability Analysis of Runge-Kutta Methods for Nonlinear Systems of Pantograph Equations

  YX Yu, SF Li

  2005-08-02

  32993 3543 pp. 351-356

• Construction of High Order Symplectic Runge-Kutta Methods

  Geng Sun

  1993-11-01

  33716 3812 pp. 250-260

• Symplectic Partitioned Runge-Kutta Methods

  Geng Sun

  2021-07-01

  34236 3642 pp. 365-372

• D-Convergence of Runge-Kutta Methods for Stiff Delay Differential Equations

  Cheng-Ming Huang, Hong-Yuan Fu, Shou-Fu Li, Guang-Nan Chen

  2001-06-02

  33289 3533 pp. 259-268

• High Order Stable Multi-Domain Hybrid RKDG and WENO-FD Methods

  Fan Zhang, Jian Cheng, Tiegang Liu

  2018-09-17

  DOI:10.4208/jcm.1702-m2016-0707

  39827 2907 pp. 517-541

• Asymptotic Stability for Gauss Methods for Neutral Delay Differential Equations

  Birama Sory Sidibe, Ming-Zhu Liu

  2002-04-02

  32079 3365 pp. 217-224

• Plane Waves Numerical Stability of Some Explicit Exponential Methods for Cubic Schrödinger Equation

  Begoña Cano, Adolfo González-Pachón

  2018-08-22

  DOI:10.4208/jcm.1601-m4541

  38717 2988 pp. 385-406

• On the Contractivity Region of Runge-Kutta Methods

  Ming-You Huang

  2018-11-20

  35873 4005 pp. 2-11

• Convergence Results of Runge-Kutta Methods for Multiply-Stiff Singular Perturbation Problems

  Ai-Guo Xiao

  2002-06-02

  32281 3881 pp. 325-336