Search Results

• Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws

  Taeyoung Kim, Myungjoo Kang

  2025-09-02

  204 76 Pages:420-456

• Direct Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methods

  Yi Wang & Shuyu Sun

  2018-04-04

  39914 3194 Pages:405-440

• Recent Developments in Numerical Techniques for Transport-Based Medical Imaging Methods

  Kui Ren

  2010-08-01

  43138 4731 Pages:1-50 Open-access

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

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48292 3371 Pages:979-1029

• Accurate and Efficient Numerical Methods for Computing Ground States and Dynamics of Dipolar Bose-Einstein Condensates via the Nonuniform FFT

  Weizhu Bao, Qinglin Tang, Yong Zhang

  2020-07-31

  41784 3209 Pages:1141-1166

• 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

  47993 3463 Pages:1307-1334

• The Effective Use of BLAS Interface for Implementation of Finite-Element ADER-DG and Finite-Volume ADER-WENO Methods

  I. S. Popov

  2025-09-18

  4216 306 Pages:1237-1330

• Mechanics-Based Solution Verification for Porous Media Models

  M. Shabouei & K. B. Nakshatrala

  2020-07-30

  42081 3398 Pages:1127-1162

• 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

• 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

• Fast Numerical Methods for Stochastic Computations: A Review

  Dongbin Xiu

  2018-04-11

  44058 4513 Pages:242-272

• The Gaussian Wave Packet Transform for the Semi-Classical Schrödinger Equation with Vector Potentials

  Zhennan Zhou & Giovanni Russo

  2019-04-04

  47304 5408 Pages:469-505 Open-access

• Capturing Near-Equilibrium Solutions: A Comparison Between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes

  Maria Han Veiga, David A. Velasco-Romero, Rémi Abgrall & Romain Teyssier

  2019-02-25

  46053 5164 Pages:1-34

• Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrödinger Equation with Trapped Term

  Jialin Hong & Linghua Kong

  2010-07-01

  39809 3653 Pages:613-630

• Operator Splitting and Local Time-Stepping Methods for Transport Problems in Fractured Porous Media

  Phuoc-Toan Huynh, Yanzhao Cao, Thi-Thao-Phuong Hoang

  2023-12-11

  34456 2638 Pages:1215-1246

• Mathematical Models and Numerical Methods for Spinor Bose-Einstein Condensates.

  Weizhu Bao & Yongyong Cai

  2020-07-31

  46875 3282 Pages:899-965

• Towards Translational Invariance of Total Energy with Finite Element Methods for Kohn-Sham Equation

  Gang Bao, Guanghui Hu & Di Liu

  2018-04-03

  41625 4662 Pages:1-23

• Numerical Bifurcation Methods and Their Application to Fluid Dynamics: Analysis Beyond Simulation

  Henk A. Dijkstra, Fred W. Wubs, Andrew K. Cliffe, Eusebius Doedel, Ioana F. Dragomirescu, Bruno Eckhardt, Alexander Yu. Gelfgat, Andrew L. Hazel, Valerio Lucarini, Andy G. Salinger, Erik T. Phipps, Juan Sanchez-Umbria, Henk Schuttelaars, Laurette S. Tuckerman, Uwe Thiele

  2014-01-05

  40936 4841 Pages:1-45

• Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations

  Jin Zhao

  2020-12-02

  47841 3266 Pages:420-444

• High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks

  D. V. Kotov, H. C. Yee, A. A. Wray, A. Hadjadj, B. Sjögreen

  2018-04-03

  41450 3254 Pages:273-300

• A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

  Ruihan Guo & Yan Xu

  2018-09-17

  67668 5387 Pages:123-151

• On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

  Lei Li, Jian-Guo Liu, Zibu Liu, Yi Yang, Zhennan Zhou

  2022-07-06

  42828 3639 Pages:222-258

• Numerical Simulations for the Quasi-3D Fluid Streamer Propagation Model: Methods and Applications

  Chijie Zhuang, Mengmin Huang & Rong Zeng

  2020-07-31

  43183 3269 Pages:1259-1278

• Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations

  X. Liang, A. Q. M. Khaliq & Y. Xing

  2020-07-30

  39930 2985 Pages:510-541

• The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle

  Ang Li, Hongtao Yang, Yonghai Li, Guangwei Yuan

  2023-01-24

  37675 3020 Pages:1437-1473

• 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

• 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