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  • Dissipative and Conservative Local Discontinuous Galerkin Methods for the Fornberg-Whitham Type Equations

    Qian Zhang, Yan Xu, Chi-Wang Shu
    2021-05-25
    50735 3250 Pages:321-356
  • A Novel Iterative Penalty Method to Enforce Boundary Conditions in Finite Volume POD-Galerkin Reduced Order Models for Fluid Dynamics Problems

    S. Kelbij Star, Giovanni Stabile, Francesco Belloni, Gianluigi Rozza, Joris Degroote
    2021-04-30
    49959 4457 Pages:34-66
  • Blended Ghost Force Correction Method for 3D Crystalline Defects

    Lidong Fang, Lei Zhang
    2021-02-25
    44918 3167 Pages:1246-1272
  • Navier-Stokes Solvers for Incompressible Single- and Two-Phase Flows

    Mohamed El Ouafa, Stéphane Vincent, Vincent Le Chenadec
    2021-02-25
    43583 3179 Pages:1213-1245
  • Cholesky-Based Experimental Design for Gaussian Process and Kernel-Based Emulation and Calibration

    Helumt Harbrecht, John D. Jakeman, Peter Zaspel
    2021-02-25
    45831 3160 Pages:1152-1185
  • Structure-Preserving Numerical Methods for Stochastic Poisson Systems

    Jialin Hong, Jialin Ruan, Liying Sun, Lijin Wang
    2021-01-13
    47269 3342 Pages:802-830
  • Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations

    Jin Zhao
    2020-12-02
    47841 3266 Pages:420-444
  • Analysis and Application of Single Level, Multi-Level Monte Carlo and Quasi-Monte Carlo Finite Element Methods for Time-Dependent Maxwell's Equations with Random Inputs

    Xiang Wang, Jichun Li, Zhiwei Fang
    2020-11-26
    46113 4165 Pages:211-236
  • A Compressible Conserved Discrete Unified Gas-Kinetic Scheme with Unstructured Discrete Velocity Space for Multi-Scale Jet Flow Expanding into Vacuum Environment

    Jianfeng Chen, Sha Liu, Yong Wang, Chengwen Zhong
    2020-08-27
    49166 3260 Pages:1502-1535
  • Local Discrete Velocity Grids for Multi-Species Rarefied Flow Simulations

    Stéphane Brull, Corentin Prigent
    2020-08-27
    49030 3154 Pages:1274-1304
  • Computational Software: NeuronSeg_BACH: Automated Neuron Segmentation Using B-Spline Based Active Contour and Hyperelastic Regularization

    Aishwarya Pawar, Yongjie Jessica Zhang
    2020-07-21
    45532 2972 Pages:1219-1244
  • A Lowest-Order Mixed Finite Element Method for the Elastic Transmission Eigenvalue Problem

    Yingxia Xi, Xia Ji
    2020-07-21
    47228 3099 Pages:1105-1132
  • Elastic Characteristics of Digital Cores from Longmaxi Shale Using Lattice Spring Models

    Ning Liu, Li-Yun Fu
    2020-06-05
    50166 4806 Pages:518-538
  • A Fast State-Based Peridynamic Numerical Model

    Ning Du, Xu Guo, Hong Wang
    2020-03-06
    52258 5213 Pages:274-291
  • High-Order Spectral Simulation of Graphene Ribbons

    David P. Nicholls
    2019-08-27
    43416 3158 Pages:1575-1596
  • The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

    Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura
    2023-04-28
    32547 3098 Pages:733-763 Open-access
  • High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics

    Jon Matteo Church, Zhenlin Guo, Peter K. Jimack, Anotida Madzvamuse, Keith Promislow, Brian Wetton, Steven M. Wise, Fengwei Yang
    2019-07-02
    62596 3419 Pages:947-972
  • Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities

    Siqing Li & Leevan Ling
    2019-04-28
    45793 3059 Pages:785-808
  • A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes

    Hengguang Li, Lin Mu & Xiu Ye
    2019-04-04
    46773 3326 Pages:558-578
  • Adaptive Neural Network Basis Methods for Partial Differential Equations with Low-Regular Solutions

    Jianguo Huang, Haohao Wu, Tao Zhou
    2025-11-28
    913 40 Pages:553-577
  • Particle Based gPC Methods for Mean-Field Models of Swarming with Uncertainty

    José Antonio Carrillo, Lorenzo Pareschi & Mattia Zanella
    2018-10-11
    50282 4904 Pages:508-531 Open-access
  • Real-Time Diffusion Monte Carlo Method

    Ilkka Ruokosenmäki & Tapio T. Rantala
    2018-10-11
    45085 4621 Pages:347-360 Open-access
  • Recursive POD Expansion for the Advection-Diffusion-Reaction Equation

    M. Azaïez, T. Chacón Rebollo, E. Perracchione & J. M. Vega
    2018-09-17
    44381 4664 Pages:1556-1578 Open-access
  • An Efficient Tailored Finite Point Method for Rician Denoising and Deblurring

    Wenli Yang, Zhongyi Huang & Wei Zhu
    2020-07-31
    43588 3231 Pages:1169-1195
  • Comparison of Lattice Boltzmann, Finite Element and Volume of Fluid Multicomponent Methods for Microfluidic Flow Problems and the Jetting of Microdroplets

    Karun P. N. Datadien, Gianluca Di Staso, Christian Diddens, Herman M. A. Wijshoff, Federico Toschi
    2023-04-28
    33363 2798 Pages:912-936
  • Pseudospectral Methods for Computing the Multiple Solutions of the Schrödinger Equation

    Zhao-Xiang Li, Ji Lao & Zhong-Qing Wang
    2018-08-21
    47629 3143 Pages:822-845
  • Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds

    Andreas Bollermann, Sebastian Noelle, Maria Lukáčová-Medvid'ová
    2011-10-01
    37835 3920 Pages:371-404
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