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  • A Fast Time Splitting Finite Difference Approach to Gross–Pitaevskii Equations

    Marco Caliari, Simone Zuccher
    2021-03-24
    47764 3234 Pages:1336-1364
  • On Accurately Resolving Detonation Dynamics by Adaptive Finite Volume Method on Unstructured Grids

    Yana Di, Guanghui Hu, Ruo Li, Feng Yang
    2020-12-02
    48036 3684 Pages:445-471 Open-access
  • Vectorial Kinetic Relaxation Model with Central Velocity. Application to Implicit Relaxations Schemes

    David Coulette, Clémentine Courtès, Emmanuel Franck, Laurent Navoret
    2020-02-23
    48969 3316 Pages:976-1013
  • A Hybrid Method for Computing the Schrödinger Equations with Periodic Potential with Band-Crossings in the Momentum Space

    Lihui Chai, Shi Jin & Peter A. Markowich
    2020-07-31
    44071 3191 Pages:989-1020
  • Dispersive Shallow Water Wave Modelling. Part IV: Numerical Simulation on a Globally Spherical Geometry

    Gayaz Khakimzyanov, Denys Dutykh & Oleg Gusev
    2018-08-21
    47238 3199 Pages:361-407
  • A High-Order Method for Weakly Compressible Flows

    Klaus Kaiser, Jochen Schütz
    2017-10-02
    43844 3123 Pages:1150-1174
  • Application of High Dimensional B-Spline Interpolation in Solving the Gyro-Kinetic Vlasov Equation Based on Semi-Lagrangian Method

    Xiaotao Xiao, Lei Ye, Yingfeng Xu & Shaojie Wang
    2017-09-02
    41160 3239 Pages:789-802
  • AC-CBS-Based Partitioned Semi-Implicit Coupling Algorithm for Fluid-Structure Interaction Using Stabilized Second-Order Pressure Scheme

    Tao He, Kai Zhang & Tong Wang
    2018-04-09
    41992 3411 Pages:1449-1474
  • On Fully Decoupled, Convergent Schemes for Diffuse Interface Models for Two-Phase Flow with General Mass Densities

    Günther Grün, Francisco Guillén-González & Stefan Metzger
    2020-07-31
    40309 3246 Pages:1473-1502
  • A Full Space-Time Convergence Order Analysis of Operator Splittings for Linear Dissipative Evolution Equations

    Eskil Hansen & Erik Henningsson
    2020-07-31
    40290 3272 Pages:1302-1316
  • New Splitting Methods for Convection-Dominated Diffusion Problems and Navier-Stokes Equations

    Feng Shi, Guoping Liang, Yubo Zhao & Jun Zou
    2014-11-08
    41162 3874 Pages:1239-1262
  • An Efficient Rescaling Algorithm for Simulating the Evolution of Multiple Elastically Stressed Precipitates

    Amlan K. Barua, Shuwang Li, Hualong Feng, Xiaofan Li & John Lowengrub
    2013-10-05
    38632 3865 Pages:940-959
  • Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation

    Jun Luo, Lijun Xuan & Kun Xu
    2013-09-05
    40547 4586 Pages:599-620
  • New Energy-Conserved Identities and Super-Convergence of the Symmetric EC-S-FDTD Scheme for Maxwell's Equations in 2D

    Liping Gao & Dong Liang
    2012-11-01
    39171 4188 Pages:1673-1696
  • Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation

    Jing-Mei Qiu & Chi-Wang Shu
    2011-10-01
    40690 4245 Pages:979-1000
  • High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows

    Michel Fournié & Alain Rigal
    2011-09-01
    38133 3846 Pages:994-1019
  • Efficient Dual Algorithms for Image Segmentation Using TV-Allen-Cahn Type Models

    Li-Lian Wang & Ying Gu
    2011-09-01
    38818 3993 Pages:859-877
  • Symmetric Energy-Conserved Splitting FDTD Scheme for the Maxwell's Equations

    Wenbin Chen, Xingjie Li & Dong Liang
    2009-06-01
    37205 3962 Pages:804-825
  • Explicit Symplectic Methods for the Nonlinear Schrödinger Equation

    Hua Guan, Yandong Jiao, Ju Liu & Yifa Tang
    2009-06-01
    39619 3861 Pages:639-654
  • A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations

    Abdullah Shah, Hong Guo & Li Yuan
    2018-04-11
    41461 3461 Pages:712-729
  • Fully Kinetic, Electromagnetic Particle-in-Cell Simulations of Plasma Microturbulence

    J. L. V. Lewandowski & L. E. Zakharov
    2007-02-01
    38512 3921 Pages:684-722
  • Modified RATTLE Method for Rigid Body Dynamics in Cartesian Coordinates

    M. Chen
    2007-02-01
    38722 4147 Pages:530-544
  • A Time-Splitting Spectral Method for Three-Wave Interactions in Media with Competing Quadratic and Cubic Nonlinearities

    W. Bao & C. Zheng
    2007-02-01
    38208 4395 Pages:123-140
  • Inexact Block LU Preconditioners for Incompressible Fluids with Flow Rate Conditions

    Luca Crugnola, Christian Vergara
    2025-11-28
    933 43 Pages:323-355
  • A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

    Liwei Tan, Minsheng Huang, Wenjun Ying
    2024-09-06
    186 67 Pages:485-520
  • Geometric Numerical Integration for Peakon b-Family Equations

    Wenjun Cai, Yajuan Sun & Yushun Wang
    2018-04-03
    39933 4431 Pages:24-52
  • Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion Equations

    Xiao-Qing Jin, Fu-Rong Lin & Zhi Zhao
    2018-04-03
    38614 3095 Pages:469-488
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