Solving stiff differential equations with the method of patches
Journal Article
·
· Journal of Computational Physics
- Univ. of Texas, Austin, TX (United States)
- Los Alamos National Lab., NM (United States)
The authors introduce a new method for solving very stiff sets of ordinary differential equations. The basic idea is to replace the original nonlinear equations with a set of equally stiff equations that are piecewise linear, and therefore can be solved exactly. They demonstrate the value of the method on small systems of equations for which some other methods are inefficient or produce spurious solutions, estimate error bounds, and discuss extensions of the method of larger systems of equations and to partial differential equations.
- OSTI ID:
- 653494
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 144; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
Similar Records
Solving certain stiff differential equations by transformation
User's view of solving stiff ordinary differential equations
Use of block factorization iterative methods in a stiff ODE (ordinary differential equations) solver for two-dimensional method-of-lines applications
Technical Report
·
Sat Oct 01 00:00:00 EDT 1977
·
OSTI ID:5206579
User's view of solving stiff ordinary differential equations
Technical Report
·
Wed Sep 01 00:00:00 EDT 1976
·
OSTI ID:7327371
Use of block factorization iterative methods in a stiff ODE (ordinary differential equations) solver for two-dimensional method-of-lines applications
Conference
·
Fri May 01 00:00:00 EDT 1987
·
OSTI ID:6504720