Name
Abstract | ||
|---|---|---|
Solving flame propagation problems with the method of lines leads to large systems of ordinary differential equations. These systems are usually solved by Backward Differentiation Formula (BDF) methods, such as by LSODE of Hindmarsh. Recently, Rosenbrock methods turned out to be rather successful for integrating small systems with inexpensive function and Jacobian evaluations. However, no test has been done on the performance of some recently developed Rosenbrock codes in a situation in which the dimension of the system is large, for example, over one hundred equations. These Rosenbrock codes performed quite well on the STIFF DETEST and other small systems. The aim of this paper is to investigate the performance of the Rosenbrock methods in solving the flame propagation problem by the method of lines. |
Year | DOI | Venue |
|---|---|---|
1986 | 10.1145/22721.22722 | ACM Trans. Math. Softw. |
Keywords | Field | DocType |
stiff equations. general terms: performance additional key words and phrases: method of lines,backward differentiation formula,combustion problem,flame propagation problem,rosenbrock method,large system,jacobian evaluation,rosenbrock code,stiff detest,hundred equation,inexpensive function,initial value problems,one-dimensional flame propagation problem,rosenbrock methods,performance evaluation,small system,initial value problem,ordinary differential equation,method of lines | Differential equation,Rosenbrock function,Mathematical optimization,Ordinary differential equation,Jacobian matrix and determinant,Method of lines,Backward differentiation formula,Partial differential equation,Mathematics,Rosenbrock methods | Journal |
Volume | Issue | ISSN |
12 | 4 | 0098-3500 |
Citations | PageRank | References |
1 | 0.89 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. Ostermann | 1 | 1 | 0.89 |
| P. Kaps | 2 | 10 | 3.43 |
| T. D. Bui | 3 | 78 | 18.52 |