Search Results

• A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

  Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang

  2020-11-26

  46211 4304 Pages:237-264

• High-Dimensional Nonlinear Multi-Fidelity Model with Gradient-Free Active Subspace Method

  Bangde Liu, Guang Lin

  2020-11-18

  62412 3326 Pages:1937-1969

• A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

  Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang

  2020-07-21

  49155 3215 Pages:967-998

• A Decoupled and Positivity-Preserving DDFVS Scheme for Diffusion Problems on Polyhedral Meshes

  Qiannan Dong, Shuai Su, Jiming Wu

  2020-05-06

  50073 3628 Pages:1378-1412

• 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

• Two Kinds of New Energy-Preserving Schemes for the Coupled Nonlinear Schrödinger Equations

  Mingzhan Song, Xu Qian, Hong Zhang, Jingmin Xia & Songhe Song

  2018-12-08

  49667 3533 Pages:1127-1143

• Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain

  Jiwei Zhang, Dongfang Li & Xavier Antoine

  2018-09-01

  46615 5292 Pages:218-243

• Ground States and Energy Asymptotics of the Nonlinear Schrödinger Equation with a General Power Nonlinearity

  Xinran Ruan & Wenfan Yi

  2020-07-31

  43569 3209 Pages:1121-1142

• Dispersive Shallow Water Wave Modelling. Part III: Model Derivation on a Globally Spherical Geometry

  Gayaz Khakimzyanov, Denys Dutykh & Zinaida Fedotova

  2018-08-21

  46457 3253 Pages:315-360

• High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations

  Zhen Gao & Guanghui Hu

  2017-10-02

  46409 3316 Pages:1049-1068

• A Conservative Parallel Iteration Scheme for Nonlinear Diffusion Equations on Unstructured Meshes

  Yunlong Yu, Yanzhong Yao, Guangwei Yuan & Xingding Chen

  2020-07-30

  42259 3385 Pages:1405-1423

• An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation

  Peimeng Yin, Yunqing Huang & Hailiang Liu

  2014-08-03

  42236 4102 Pages:491-515

• IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows

  Georgij Bispen, K. R. Arun, Mária Lukáčová-Medvid'ová & Sebastian Noelle

  2014-08-03

  42283 3980 Pages:307-347

• The Approximate Solutions of FPK Equations in High Dimensions for Some Nonlinear Stochastic Dynamic Systems

  Guo-Kang Er & Vai Pan Iu

  2011-10-01

  39100 4110 Pages:1241-1256

• Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations

  M. J. Baines, M. E. Hubbard & P. K. Jimack

  2011-10-01

  39903 4885 Pages:509-576 Open-access

• Parareal-Richardson Algorithm for Solving Nonlinear ODEs and PDEs

  Shulin Wu, Baochang Shi & Chengming Huang

  2009-06-01

  37349 4065 Pages:883-902

• A Family of Relaxation Schemes for Nonlinear Convection Diffusion Problems

  Fausto Cavalli, Giovanni Naldi, Gabriella Puppo & Matteo Semplice

  2018-04-11

  41708 3583 Pages:532-545

• Gyrofluid Simulation of Ion-Scale Turbulence in Tokamak Plasmas

  Jiquan Li & Y. Kishimoto

  2008-11-05

  36404 4233 Pages:1245-1257

• A New Approximate Method to Mean Field Stochastic Differential Equation with One-Sided Lipschitz Drift Coefficient

  Jinhui Zhou, Yongkui Zou, Boyu Wang

  2025-11-28

  899 44 Pages:615-634

• Quinpi: Integrating Stiff Hyperbolic Systems with Implicit High Order Finite Volume Schemes

  Gabriella Puppo, Matteo Semplice, Giuseppe Visconti

  2024-07-29

  152 117 Pages:30-70

• High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

  Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu

  2024-07-29

  154 113 Pages:1-29

• A Time Variable Filter Approach for the Fluid-Fluid Interaction

  Wei Li, Pengzhan Huang, Yinnian He

  2025-05-29

  186 63 Pages:1417-1451

• Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  194 50 Pages:1383-1416

• Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow

  Andrew Christlieb, Keith Promislow, Zengqiang Tan, Sulin Wang, Brian Wetton, Steven M. Wise

  2025-04-27

  212 148 Pages:877-920 Open-access

• A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows

  Lei Xu, Rongliang Chen, Xiao-Chuan Cai

  2025-09-02

  190 54 Pages:547-574

• Implementation of 2D Domain Decomposition in the UCAN Gyrokinetic Particle-in-Cell Code and Resulting Performance of UCAN2

  Jean-Noel G. Leboeuf, Viktor K. Decyk, David E. Newman & Raul Sanchez

  2018-04-03

  40213 4644 Pages:205-225

• Piecewise Polynomial Mapping Method and Corresponding WENO Scheme with Improved Resolution

  Qin Li, Pengxin Liu & Hanxin Zhang

  2020-07-30

  68 29 Pages:1417-1444