Optimization of dispersive and dissipative characteristics of finite-difference schemes for advection equation

2017 ◽  
Author(s):  
Gerasim V. Krivovichev ◽  
Elena S. Marnopolskaya
Keyword(s):  
Finite Difference ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Advection Equation

scholarly journals MODIFIED EQUATION FOR A CLASS OF EXPLICIT AND IMPLICIT SCHEMES SOLVING ONE-DIMENSIONAL ADVECTION PROBLEM

2021 ◽  
Vol 61 (SI) ◽  
pp. 49-58
Author(s):  
Tomáš Bodnár ◽  
Philippe Fraunié ◽  
Karel Kozel
Keyword(s):  
Numerical Methods ◽  
Finite Difference ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Advection Equation ◽  
One Dimensional ◽  
Implicit Schemes ◽  
Explicit And Implicit Schemes ◽  
Spatial Support ◽  
Modified Equation

This paper presents the general modified equation for a family of finite-difference schemes solving one-dimensional advection equation. The whole family of explicit and implicit schemes working at two time-levels and having three point spatial support is considered. Some of the classical schemes (upwind, Lax-Friedrichs, Lax-Wendroff) are discussed as examples, showing the possible implications arising from the modified equation to the properties of the considered numerical methods.

scholarly journals Conservative finite difference schemes for the modified Camassa-Holm equation

JSIAM Letters ◽  
2011 ◽  
Vol 3 (0) ◽  
pp. 37-40 ◽  
Author(s):  
Yuto Miyatake ◽  
Takayasu Matsuo ◽  
Daisuke Furihata
Keyword(s):  
Finite Difference ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Holm Equation
Sign in / Sign up

Export Citation Format

Share Document