Search Results

• A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography

  Nouh Izem, Mohammed Seaid

  2022-02-25

  47508 3300 Pages:725-758

• Stochastic Runge-Kutta–Munthe-Kaas Methods in the Modelling of Perturbed Rigid Bodies

  Michelle Muniz, Matthias Ehrhardt, Michael Günther, Renate Winkler

  2022-01-24

  41041 3252 Pages:528-538

• Numerical Analysis of the Mixed 4th-Order Runge-Kutta Scheme of Conditional Nonlinear Optimal Perturbation Approach for the EI Niño-Southern Oscillation Model

  Xin Zhao, Jian Li, Wansuo Duan, Dongqian Xue

  2021-07-01

  43939 3830 Pages:1023-1035

• Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations

  Liyong Zhu

  2018-05-05

  43442 4707 Pages:157-172

• Runge-Kutta Finite Element Method Based on the Characteristic for the Incompressible Navier-Stokes Equations

  Shaokai Liao, Yan Zhang, Da Chen

  2021-07-01

  50480 4183 Pages:1415-1435

• Efficient Stochastic Runge-Kutta Methods for Stochastic Differential Equations with Small Noises

  Xiao Tang, Aiguo Xiao

  2018-09-17

  47010 3512 Pages:845-878

• A Conservative SAV-RRK Finite Element Method for the Nonlinear Schrödinger Equation

  Jun Yang, Nianyu Yi

  2023-02-24

  40129 3480 Pages:583-601

• Runge-Kutta Discontinuous Galerkin Method with Front Tracking Method for Solving the Compressible Two-Medium Flow on Unstructured Meshes

  Haitian Lu, Jun Zhu, Chunwu Wang, Ning Zhao

  2018-05-05

  44567 5341 Pages:73-91

• Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach

  Yuezheng Gong, Qi Hong, Chunwu Wang, Yushun Wang

  2023-06-21

  38134 3166 Pages:1233-1255

• Implicit Runge-Kutta-Nyström Methods with Lagrange Interpolation for Nonlinear Second-Order IVPs with Time-Variable Delay

  Chengjian Zhang, Siyi Wang, Changyang Tang

  2024-01-04

  27580 2441 Pages:423-436

• Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method

  M. Salah, M. S. Matbuly, O. Civalek, Ola Ragb

  2024-01-04

  55360 3191 Pages:437-458

• High-Order Unconditionally Energy-Stable Decoupled Method for Phase Field Modeling of Pitting Corrosion with Adaptive Implementation

  Futuan Li, Hongwei Li, Tao Tang, Jiang Yang

  2026-01-30

  83 12

• A Comparison of the Performance of Limiters for Runge-Kutta Discontinuous Galerkin Methods

  Hongqiang Zhu, Yue Cheng, Jianxian Qiu

  2013-05-01

  46672 4882 Pages:365-390

• High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

  Junming Duan, Huazhong Tang

  2020-03-06

  142170 5812 Pages:1-29

• Bifurcation and Chaos of Functionally Graded Carbon Nanotube Reinforced Composite Beam with Piezoelectric Layer

  Jinhua Yang, Gaofeng Sun, Jie Yang

  2020-12-21

  46311 3122 Pages:569-589

• A New Fifth-Order Finite Volume Central WENO Scheme for Hyperbolic Conservation Laws on Staggered Meshes

  Shengzhu Cui, Zhanjing Tao, Jun Zhu

  2022-06-13

  43511 3574 Pages:1059-1086

• The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation

  Dan Qin, Kai Fu, Dong Liang

  2025-03-14

  11412 863 Pages:732-757

• Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation

  Yayun Fu, Hongliang Liu

  2025-05-12

  8586 564 Pages:1088-1110

• Nonlinear Stability and B-convergence of Additive Runge-Kutta Methods for Nonlinear Stiff Problems

  Chao Yue, Aiguo Xiao, Hongliang Liu

  2018-05-05

  41158 3104 Pages:472-495

• A Partial RKDG Method for Solving the 2D Ideal MHD Equations Written in Semi-Lagrangian Formulation on Moving Meshes with Exactly Divergence-Free Magnetic Field

  Shijun Zou, Xijun Yu, Zihuan Dai, Fang Qing, Xiaolong Zhao

  2023-04-11

  38366 3339 Pages:932-963

• Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation

  Xiaowei Chen, Xu Qian, Songhe Song

  2022-10-24

  45658 4156 Pages:159-181

• Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media

  Shashi Kumar, Bangaru Ramcharan, Vivek S. Yadav, Ankit Singh, Yogesh G. Bhumkar, Manoj K. Rajpoot

  2024-12-02

  14488 1161 Pages:315-349

• A Matrix-Vector Operation-Based Numerical Solution Method for Linear $m$-th Order Ordinary Differential Equations: Application to Engineering Problems

  M. Aminbaghai, M. Dorn, J. Eberhardsteiner, B. Pichler

  2013-05-01

  41958 4727 Pages:269-308

• Numerical Approximation of Hopf Bifurcation for Tumor-Immune System Competition Model with Two Delays

  Jing-Jun Zhao, Jing-Yu Xiao, Yang Xu

  2013-05-01

  41237 4229 Pages:146-162

• A Combination of High-Order Compact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation

  Shengfeng Wang, Xiaohua Zhang, Julian Koellermeier, Daobin Ji

  2021-06-08

  45197 3101 Pages:1261-1292

• Direct Numerical Simulations of Self-Sustained Oscillations in Two-Dimensional Open Cavity for Subsonic and Supersonic Flow

  Yong Luo, Hu Li, Shuaibin Han, Shuhai Zhang

  2021-04-13

  44687 3169 Pages:942-965

• A Symplectic Conservative Perturbation Series Expansion Method for Linear Hamiltonian Systems with Perturbations and Its Applications

  Zhiping Qiu, Nan Jiang

  2021-11-17

  48447 4038 Pages:1535-1557