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  • Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation

    Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
    2023-05-12
    35547 2999 Pages:937-961
  • Variational Low-Light Image Enhancement Based on Fractional-Order Differential

    Qianting Ma, Yang Wang, Tieyong Zeng
    2024-01-31
    28648 2620 Pages:139-159
  • Local Error Analysis and Comparison of the Swept- and Intersection-Based Remapping Methods

    Matej Klima, Milan Kucharik & Mikhail Shashkov
    2018-04-08
    41544 3223 Pages:526-558
  • Bridging Methods for Atomistic-to-Continuum Coupling and Their Implementation

    Pablo Seleson & Max Gunzburger
    2010-07-01
    39253 4155 Pages:831-876
  • Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations

    Hojun You, Juhyun Kim, Chongam Kim
    2023-05-12
    36016 2932 Pages:992-1034
  • Analysis of a Two-Level Algorithm for HDG Methods for Diffusion Problems

    Binjie Li, Xiaoping Xie & Shiquan Zhang
    2020-07-31
    40149 3273 Pages:1435-1460
  • Numerical Methods for Solving the Hartree-Fock Equations of Diatomic Molecules II

    John C. Morrison, Kyle Steffen, Blake Pantoja, Asha Nagaiya, Jacek Kobus & Thomas Ericsson
    2018-04-03
    41176 3238 Pages:632-647
  • Solving Two-Mode Shallow Water Equations Using Finite Volume Methods

    Manuel Jesús Castro Díaz, Yuanzhen Cheng, Alina Chertock & Alexander Kurganov
    2014-11-08
    41738 4170 Pages:1323-1354
  • Stability of Projection Methods for Incompressible Flows Using High Order Pressure-Velocity Pairs of Same Degree: Continuous and Discontinuous Galerkin Formulations

    E. Ferrer, D. Moxey, R. H. J. Willden & S. J. Sherwin
    2014-12-08
    39476 4061 Pages:817-840
  • A Two-Phase Flow Simulation of Discrete-Fractured Media Using Mimetic Finite Difference Method

    Zhaoqin Huang, Xia Yan & Jun Yao
    2014-12-08
    39419 4258 Pages:799-816
  • Local Discontinuous Galerkin Methods for the 2D Simulation of Quantum Transport Phenomena on Quantum Directional Coupler

    Li Guo & Yan Xu
    2020-07-31
    41201 3984 Pages:1012-1028
  • Novel Conservative Methods for Schrödinger Equations with Variable Coefficients over Long Time

    Xu Qian, Yaming Chen & Songhe Song
    2014-03-05
    41425 3951 Pages:692-711
  • An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes

    Xiaolong Zhao, Shicang Song, Xijun Yu, Shijun Zou, Fang Qing
    2024-01-31
    28648 2438 Pages:107-138
  • Adaptive hp-Finite Element Computations for Time-Harmonic Maxwell's Equations

    Xue Jiang, Linbo Zhang & Weiying Zheng
    2018-03-27
    38953 4123 Pages:559-582
  • Numerical Optimization of a Walk-on-Spheres Solver for the Linear Poisson-Boltzmann Equation

    Travis Mackoy, Robert C. Harris, Jesse Johnson, Michael Mascagni & Marcia O. Fenley
    2013-01-05
    41006 4322 Pages:195-206
  • An Adaptive Mesh Refinement Strategy for Immersed Boundary/Interface Methods

    Zhilin Li & Peng Song
    2020-07-31
    39281 4401 Pages:515-527
  • Numerical Methods for Fluid-Structure Interaction - A Review

    Gene Hou, Jin Wang & Anita Layton
    2020-07-31
    40984 5849 Pages:337-377 Open-access
  • Extension of the High-Order Space-Time Discontinuous Galerkin Cell Vertex Scheme to Solve Time Dependent Diffusion Equations

    Shuangzhang Tu, Gordon W. Skelton & Qing Pang
    2012-11-01
    38594 4023 Pages:1503-1524
  • High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

    Clarissa Astuto
    2025-05-29
    195 57 Pages:1327-1357
  • Numerical Methods for Two-Fluid Dispersive Fast MHD Phenomena

    Bhuvana Srinivasan, Ammar Hakim & Uri Shumlak
    2011-10-01
    39263 4385 Pages:183-215
  • Effect of Element Distortion on the Numerical Dispersion of Spectral Element Methods

    S. P. Oliveira & G. Seriani
    2011-09-01
    38484 3871 Pages:937-958
  • Semi-Eulerian and High Order Gaussian Beam Methods for the Schrödinger Equation in the Semiclassical Regime

    Shi Jin, Hao Wu & Xu Yang
    2011-03-05
    39292 4190 Pages:668-687
  • Lattice Boltzmann Methods for Multiphase Flow Simulations across Scales

    Giacomo Falcucci, Stefano Ubertini, Chiara Biscarini, Silvia Di Francesco, Daniele Chiappini, Silvia Palpacelli, Alessandro De Maio & Sauro Succi
    2018-03-27
    38667 4574 Pages:269-296
  • The Monotone Robin-Robin Domain Decomposition Methods for the Elliptic Problems with Stefan-Boltzmann Conditions

    Wenbin Chen, Jin Cheng, Masahiro Yamamoto & Weili Zhang
    2010-08-01
    41192 4175 Pages:642-662
  • Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review

    Liang Xu, Tiegang Liu
    2023-10-07
    35914 2906 Pages:563-612
  • Numerical Simulation for a Droplet Fission Process of Electrowetting on Dielectric Device

    Dongdong He, Huaxiong Huang & Yongji Tan
    2010-07-01
    38632 4235 Pages:1076-1094
  • Image Charge Methods for a Three-Dielectric-Layer Hybrid Solvation Model of Biomolecules

    Peihua Qin, Zhenli Xu, Wei Cai & Donald Jacobs
    2020-07-30
    39000 3883 Pages:955-977
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