Search Results

• An Understanding of the Physical Solutions and the Blow-up Phenomenon for Nonlinear Noisy Leaky Integrate and Fire Neuronal Models

  María J. Cáceres, Alejandro Ramos-Lora

  2021-07-01

  48052 3113 Pages:820-850

• An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

  Shuai Su, Huazhong Tang, Jiming Wu

  2021-05-25

  48749 3133 Pages:448-485

• A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations

  Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guangwei Yuan

  2021-01-13

  45765 3336 Pages:747-766

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

  Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang

  2020-11-26

  46325 4365 Pages:237-264

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

  Bangde Liu, Guang Lin

  2020-11-18

  62546 3360 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

  49304 3241 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

  50181 3663 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

  48598 3339 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

  49760 3564 Pages:1127-1143

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

  Jiwei Zhang, Dongfang Li & Xavier Antoine

  2018-09-01

  46695 5340 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

  43659 3232 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

  46539 3273 Pages:315-360

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

  Zhen Gao & Guanghui Hu

  2017-10-02

  46467 3335 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

  42324 3412 Pages:1405-1423

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

  Peimeng Yin, Yunqing Huang & Hailiang Liu

  2014-08-03

  42307 4129 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

  42362 4024 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

  39170 4133 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

  39987 4960 Pages:509-576 Open-access

• Parareal-Richardson Algorithm for Solving Nonlinear ODEs and PDEs

  Shulin Wu, Baochang Shi & Chengming Huang

  2009-06-01

  37431 4086 Pages:883-902

• A Family of Relaxation Schemes for Nonlinear Convection Diffusion Problems

  Fausto Cavalli, Giovanni Naldi, Gabriella Puppo & Matteo Semplice

  2018-04-11

  41768 3602 Pages:532-545

• Gyrofluid Simulation of Ion-Scale Turbulence in Tokamak Plasmas

  Jiquan Li & Y. Kishimoto

  2008-11-05

  36487 4261 Pages:1245-1257

• The First- and Second-Order Energy Stable, Mass Conservative and Bounds-Preserving Schemes for Two-Phase Incompressible Flow with Rock Compressibility

  Yujing Yan, Huangxin Chen, Xiaoli Li

  2026-01-18

  263 83 Pages:1332-1362

• Local Discontinuous Galerkin Method for Nonlinear BSPDEs of Neumann Boundary Conditions with Deep Backward Dynamic Programming Time-Marching

  Yixiang Dai, Yunzhang Li, Jing Zhang

  2026-01-18

  237 46 Pages:1299-1331

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

  Jinhui Zhou, Yongkui Zou, Boyu Wang

  2026-02-15

  3789 152 Pages:615-634

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

  Gabriella Puppo, Matteo Semplice, Giuseppe Visconti

  2024-07-29

  26820 1732 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

  27986 1964 Pages:1-29

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

  Wei Li, Pengzhan Huang, Yinnian He

  2025-05-29

  8946 517 Pages:1417-1451