The use of the Riemann problem in finite difference schemes

Seventh International Conference on Numerical Methods in Fluid Dynamics - Lecture Notes in Physics ◽

10.1007/3-540-10694-4_54 ◽

1989 ◽

pp. 354-359 ◽

Author(s):

P. L. Roe

Keyword(s):

Finite Difference ◽

Riemann Problem ◽

Difference Schemes ◽

Finite Difference Schemes

Download Full-text

Analysis of finite-difference schemes based on exact and approximate solution of Riemann problem

Scientific and technical journal of information technologies mechanics and optics ◽

10.17586/2226-1494-2015-15-1-139-148 ◽

2015 ◽

pp. 139-148

Author(s):

P.V. Bulat ◽

K.N. Volkov ◽

M.S. Silnikov ◽

M.V. Chernyshev

Keyword(s):

Approximate Solution ◽

Finite Difference ◽

Riemann Problem ◽

Difference Schemes ◽

Finite Difference Schemes

Download Full-text

Entropically Damped Artificial Compressibility Solver Using Higher Order Finite Difference Schemes on Curvilinear and Deforming Meshes

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-0634 ◽

2021 ◽

Author(s):

Shankar Achu ◽

Nagabhushana Rao Vadlamani

Keyword(s):

Finite Difference ◽

Higher Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Artificial Compressibility

Download Full-text

On conditions for L2-dissipativity of linearized explicit QGD-finite-difference schemes for the equations of one-dimensional gas dynamics

Доклады Академии наук ◽

10.31857/s086956520003084-5 ◽

2018 ◽

Vol 482 (4) ◽

pp. 375-380

Author(s):

A. Zolotnik ◽

T. Lomonosov

Keyword(s):

Finite Difference ◽

Gas Dynamics ◽

Difference Schemes ◽

Finite Difference Schemes ◽

One Dimensional

Download Full-text

Conservative finite difference schemes for the modified Camassa-Holm equation

JSIAM Letters ◽

10.14495/jsiaml.3.37 ◽

2011 ◽

Vol 3 (0) ◽

pp. 37-40 ◽

Author(s):

Yuto Miyatake ◽

Takayasu Matsuo ◽

Daisuke Furihata

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Download Full-text

Energy-consistent finite difference schemes for compressible hydrodynamics and magnetohydrodynamics using nonlinear filtering

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110232 ◽

2021 ◽

pp. 110232

Author(s):

Haruhisa Iijima

Keyword(s):

Finite Difference ◽

Nonlinear Filtering ◽

Difference Schemes ◽

Finite Difference Schemes

Download Full-text

High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110136 ◽

2021 ◽

Vol 431 ◽

pp. 110136

Author(s):

Junming Duan ◽

Huazhong Tang

Keyword(s):

Finite Difference ◽

Shallow Water ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Entropy Stable ◽

Shallow Water Magnetohydrodynamics

Download Full-text

Finite difference schemes for the two-dimensional multi-term time-fractional diffusion equations with variable coefficients

Computational and Applied Mathematics ◽

10.1007/s40314-021-01551-1 ◽

2021 ◽

Vol 40 (5) ◽

Author(s):

Mingrong Cui

Keyword(s):

Finite Difference ◽

Fractional Diffusion ◽

Variable Coefficients ◽

Difference Schemes ◽

Diffusion Equations ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Fractional Diffusion Equations

Download Full-text

Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations

The Journal of Difference Equations and Applications ◽

10.1080/10236190412331334527 ◽

2005 ◽

Vol 11 (7) ◽

pp. 645-653 ◽

Author(s):

Ronald E. Mickens

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Fundamental Principle ◽

Difference Schemes ◽

Dynamic Consistency ◽

Finite Difference Schemes ◽

Nonstandard Finite Difference

Download Full-text

High Order Compact Block-Centered Finite Difference Schemes for Elliptic and Parabolic Problems

Journal of Scientific Computing ◽

10.1007/s10915-021-01507-x ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Yilei Shi ◽

Shusen Xie ◽

Dong Liang ◽

Kai Fu

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Parabolic Problems ◽

Finite Difference Schemes

Download Full-text

High order accurate in time, fourth order finite difference schemes for the harmonic mapping flow

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113766 ◽

2021 ◽

pp. 113766

Author(s):

Zeyu Xia ◽

Cheng Wang ◽

Liwei Xu ◽

Zhengru Zhang

Keyword(s):

Finite Difference ◽

Fourth Order ◽

Harmonic Mapping ◽

Difference Schemes ◽

Finite Difference Schemes

Download Full-text