Search Results

• 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

  8899 475 Pages:1327-1357

• Vector Penalty-Projection Methods for Open Boundary Conditions with Optimal Second-Order Accuracy

  Philippe Angot, Rima Cheaytou

  2019-07-02

  45486 4554 Pages:1008-1038 Open-access

• An Efficient Reduced-Order Model Based on Dynamic Mode Decomposition for Parameterized Spatial High-Dimensional PDEs

  Yifan Lin, Xiang Sun, Jie Nie, Yuanhong Chen, Zhen Gao

  2025-09-02

  11746 904 Pages:575-602

• Comparative Study of Three High Order Schemes for LES of Temporally Evolving Mixing Layers

  Helen C. Yee, Bjorn Sjögreen & Abdellah Hadjadj

  2012-12-01

  42297 4083 Pages:1603-1622

• Numerical Issues in the Implementation of High Order Polynomial Multi-Domain Penalty Spectral Galerkin Methods for Hyperbolic Conservation Laws

  Sigal Gottlieb & Jae-Hun Jung

  2018-04-11

  41066 3595 Pages:600-619

• Finite-Volume TENO Scheme with a New Cell-Interface Flux Evaluation Strategy for Unstructured Meshes

  Tian Liang, Lin Fu

  2024-05-06

  35407 2706 Pages:938-972

• 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

• High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes

  Shangting Li, Huazhong Tang

  2025-08-08

  4598 461 Pages:538-574

• High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws

  Shinichi Takagi, Hiro Wakimura, Lin Fu, Feng Xiao

  2023-11-08

  31433 2689 Pages:1043-1078

• The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections

  Hailiang Liu & Jue Yan

  2010-08-01

  44883 4499 Pages:541-564

• The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem

  Xin Liu, Qixuan Song, Yu Gao, Zhangxin Chen

  2024-07-29

  24285 2241 Pages:221-247

• 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

• New Finite-Volume Relaxation Methods for the Third-Order Differential Equations

  Fayssal Benkhaldoun & Mohammed Seaïd

  2008-04-01

  38729 4341 Pages:820-837

• A Targeted ENO Scheme as Implicit Model for Turbulent and Genuine Subgrid Scales

  Lin Fu, Xiangyu Hu & Nikolaus A. Adams

  2019-04-04

  49299 3311 Pages:311-345

• Numerical Study of the Isotropic-Nematic Phase Transition in Liquid Crystals Using the String Method

  Yunzhi Li & Weiqing Ren

  2018-08-21

  46178 3771 Pages:1534-1548

• Coarse-Grained Molecular Dynamics Simulation of DPPC Lipid Bilayers: Size Effect on Structural and Dynamic Properties

  Bei Li

  2018-08-21

  46559 3603 Pages:1476-1487

• A Strong Stability-Preserving Predictor-Corrector Method for the Simulation of Elastic Wave Propagation in Anisotropic Media

  D. H. Yang, N. Wang & E. Liu

  2012-12-01

  40458 4291 Pages:1006-1032

• Reduction of the Regularization Error of the Method of Regularized Stokeslets for a Rigid Object Immersed in a Three-Dimensional Stokes Flow

  Hoang-Ngan Nguyen & Ricardo Cortez

  2014-01-05

  40522 4416 Pages:126-152

• A Diffuse-Interface Lattice Boltzmann Method for the Dendritic Growth with Thermosolutal Convection

  Chengjie Zhan, Zhenhua Chai, Baochang Shi, Ping Jiang, Shaoning Geng, Dongke Sun

  2023-05-12

  36376 2877 Pages:1164-1188

• Majority-Vote on Undirected Barabási-Albert Networks

  F. W. S. Lima

  2018-03-24

  39860 3897 Pages:358-366

• A Hybrid Method with TENO Based Discontinuity Indicator for Hyperbolic Conservation Laws

  Lin Fu

  2019-07-02

  48541 3257 Pages:973-1007

• Deep Learning-Based Reduced-Order Methods for Fast Transient Dynamics

  Martina Cracco, Giovanni Stabile, Andrea Lario, Armin Sheidani, Martin Larcher, Folco Casadei, Georgios Valsamos, Gianluigi Rozza

  2026-01-03

  1892 137 Pages:635-660

• Improved RBF Collocation Methods for Fourth Order Boundary Value Problems

  C. S. Chen, Andreas Karageorghis, Hui Zheng

  2020-05-06

  50394 3437 Pages:1530-1549

• Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

  Weizhu Bao, Yue Feng, Wenfan Yi

  2019-08-27

  48115 3492 Pages:1307-1334

• Moment Approximations and Model Cascades for Shallow Flow

  Julia Kowalski & Manuel Torrilhon

  2018-11-09

  48631 3504 Pages:669-702

• A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices

  Dorothee Richters, Michael Lass, Andrea Walther, Christian Plessl & Thomas D. Kühne

  2018-10-11

  50848 3372 Pages:564-585

• A Conservative and Positivity-Preserving Method for Solving Anisotropic Diffusion Equations with Deep Learning

  Hui Xie, Li Liu, Chuanlei Zhai, Xuejun Xu, Heng Yong

  2024-03-13

  26287 2282 Pages:467-497