Current methods for large stiff ODE systems
Conference
·
OSTI ID:5640522
Initial value problems for ODE systems are especially challenging when they are both large and stiff. Current methods range from explicit to fully implicit. Quasi-steady state, split-operator, and hybrid methods are often effective, but require much problem-specific setup and rarely allow for error control. General implicit methods with error control have the widest applicability. They involve an algebraic system problem, usually solved with Newton-like iterations, combined with direct or iterative linear system methods, sometimes using partitioning. Research is in progress on matrix-free iterations. 37 refs.
- Research Organization:
- Lawrence Livermore National Lab., CA (USA)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 5640522
- Report Number(s):
- UCRL-92641; CONF-850861-3; ON: DE85012914
- Country of Publication:
- United States
- Language:
- English
Similar Records
Numerical solution of nonlinear algebraic equations in stiff ODE solving: 1987-1988 technical progress report
Matrix-free methods in the solution of stiff systems of ODE's
The use of iterative linear-equation solvers in codes for large systems of stiff IVPs for ODEs
Technical Report
·
Thu Dec 31 23:00:00 EST 1987
·
OSTI ID:5398198
Matrix-free methods in the solution of stiff systems of ODE's
Technical Report
·
Mon Oct 31 23:00:00 EST 1983
·
OSTI ID:5507301
The use of iterative linear-equation solvers in codes for large systems of stiff IVPs for ODEs
Journal Article
·
Mon Mar 31 23:00:00 EST 1986
· SIAM J. Sci. Stat. Comput.; (United States)
·
OSTI ID:5609802