A new approach to design high-order schemes

Journal of Computational and Applied Mathematics

Volumn 134, Issue 1-2, 2001, Pages 59-67

  Wang, Jin ^a   Liu, Ruxun ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

High order scheme; MPDE; Undetermined coefficients

Indexed keywords

COMPUTATIONAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS;

HIGH-ORDER SCHEMES;

FINITE DIFFERENCE METHOD;

MATHEMATICAL METHOD;

EID: 0035448836     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00528-8     Document Type: Article

References (15)

1. On the solution of nonlinear hyperbolic differential equations by finite difference
2. Uber die partiellen differenzengleichurgen der Mathmatischen Physik
3. Heuristic stability theory for finite difference equations
4. Accurate calculation of pollutant transport in one and two dimensions
5. Generalised leapfrog schemes
6. The remainder-effect analysis of upwind leapfrog schemes
7. Systems of conservation laws
8. A stable and accurate convective modelling procedure based on quadratic upstream interpolation
9. The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection
10. Linear bicharacteristic schemes without dissipation
11. The remainder-effect analysis of finite difference schemes and the applications
12. The designing approach of difference schemes by controlling the remainder-effect
13. The modified equation approach to the stability and accuracy analysis of finite difference method
14. Efficient high-order backward characteristic schemes for transient advection