Search Results

• A Nonlinear Elimination Preconditioner for Fully Coupled Space-Time Solution Algorithm with Applications to High-Rayleigh Number Thermal Convective Flow Problems

  Haijian Yang & Feng-Nan Hwang

  2019-04-28

  46149 3236 Pages:749-767

• Fully-Coupled Multi-Physical Simulation with Physics-Based Nonlinearity-Elimination Preconditioned Inexact Newton Method for Enhanced Oil Recovery

  Huiying Tang, Shihao Wang, Congbin Yin, Yuan Di, Yu-Shu Wu & Yonghong Wang

  2018-09-01

  46000 5395 Pages:244-265

• Modelling Thermo-Electro-Mechanical Effects in Orthotropic Cardiac Tissue

  Ricardo Ruiz-Baier, Alessio Gizzi, Alessandro Loppini, Christian Cherubini, Simonetta Filippi

  2020-03-06

  52985 5362 Pages:87-115 Open-access

• Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems

  Dongfang Li, Hong-Lin Liao, Weiwei Sun, Jilu Wang & Jiwei Zhang

  2018-09-17

  51239 5839 Pages:86-103

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

  Lei Xu, Rongliang Chen, Xiao-Chuan Cai

  2025-09-02

  11713 842 Pages:547-574

• A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

  Ji Lin, Sergiy Reutskiy, C. S. Chen & Jun Lu

  2019-02-25

  47337 5497 Pages:233-264

• Probabilistic High Order Numerical Schemes for Fully Nonlinear Parabolic PDEs

  Tao Kong, Weidong Zhao & Tao Zhou

  2020-07-30

  39341 3361 Pages:1482-1503

• Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

  Jea-Hyun Park, Abner J. Salgado, Steven M. Wise

  2023-03-13

  46477 3605 Pages:367-398

• Adaptive Fully Implicit Simulator with Multilevel Schwarz Methods for Gas Reservoir Flows in Fractured Porous Media

  Rui Li, Haijian Yang, Chao Yang

  2021-10-26

  47399 3248 Pages:1499-1528

• 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

• Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise

  Yukun Li, Corey Prachniak, Yi Zhang

  2024-05-06

  27937 1985 Pages:1003-1028

• Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm

  Jiang Yu Nguwi, Guillaume Penent, Nicolas Privault

  2023-09-04

  33490 2855 Pages:261-289

• A Parallel Domain Decomposition Algorithm for Simulating Blood Flow with Incompressible Navier-Stokes Equations with Resistive Boundary Condition

  Yuqi Wu & Xiao-Chuan Cai

  2020-07-31

  39310 3995 Pages:1279-1299

• Efficient Dual Algorithms for Image Segmentation Using TV-Allen-Cahn Type Models

  Li-Lian Wang & Ying Gu

  2011-09-01

  38862 4021 Pages:859-877

• Scalable Domain Decomposition Algorithms for Simulation of Flows Passing Full Size Wind Turbine

  Rongliang Chen, Zhengzheng Yan, Yubo Zhao & Xiao-Chuan Cai

  2018-09-17

  45132 3657 Pages:1503-1522

• 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

  9308 731 Pages:877-920 Open-access

• Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-03-13

  24991 2119 Pages:498-523

• A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48435 3403 Pages:979-1029

• Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model

  Yuzhe Qin, Zhen Xu, Hui Zhang, Zhengru Zhang

  2020-08-27

  50226 3307 Pages:1389-1414

• Long Wave Interaction with a Partially Immersed Body. Part I: Mathematical Models

  Gayaz Khakimzyanov, Denys Dutykh

  2019-12-07

  45572 3223 Pages:321-378

• Finite Element Analysis for Nonstationary Magneto-Heat Coupling Problem

  Xue Jiang, Donghang Zhang, Linbo Zhang, Weiying Zheng

  2019-08-27

  47951 3464 Pages:1471-1489

• Effective Time Step Analysis of a Nonlinear Convex Splitting Scheme for the Cahn–Hilliard Equation

  Seunggyu Lee & Junseok Kim

  2018-10-11

  44566 3457 Pages:448-460

• Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space

  Gayaz Khakimzyanov, Denys Dutykh, Oleg Gusev & Nina Yu. Shokina

  2018-07-03

  47689 5485 Pages:30-92

• On Time-Splitting Pseudospectral Discretization for Nonlinear Klein-Gordon Equation in Nonrelativistic Limit Regime

  Xuanchun Dong, Zhiguo Xu & Xiaofei Zhao

  2014-08-03

  42395 4148 Pages:440-466

• Multigrid Method for the Chan-Vese Model in Variational Segmentation

  Noor Badshah & Ke Chen

  2018-03-24

  38047 3881 Pages:294-316

• Fully Kinetic, Electromagnetic Particle-in-Cell Simulations of Plasma Microturbulence

  J. L. V. Lewandowski & L. E. Zakharov

  2007-02-01

  38586 3951 Pages:684-722

• Local Virtual Element Basis Functions for Space-Time Discontinuous Galerkin Schemes on Unstructured Voronoi Meshes

  Walter Boscheri, Giulia Bertaglia

  2024-09-06

  23901 1612 Pages:348-388