Conservation laws and the numerical solution of ODEs

Computers and Mathematics with Applications

Volumn 12, Issue 5-6 PART 2, 1986, Pages 1287-1296

  Shampine, L F ^a  

^a SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER PROGRAMMING - ALGORITHMS;

CONSERVATION LAWS; INITIAL-VALUE PROBLEMS; NUMERICAL METHODS; ONE-STEP METHODS; ORDINARY DIFFERENTIAL EQUATIONS;

MATHEMATICAL TECHNIQUES;

EID: 0022786742     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/0898-1221(86)90253-1     Document Type: Article

References (20)

1. The solution of a set of reaction rate equations
2. Comparing numerical methods for stiff systems of ODE's
3. Applications of EPISODE
4. A note on the numerical integration of conservative systems of first-order ordinary differential equations
5. Conservation properties of numerical integration methods for systems of ordinary differential equations, 1
6. Conservation properties of numerical integration methods for systems of ordinary differential equations, 2
7. Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion I Motion of a single particle
8. Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion II. Motion of a system of particles
9. The use of integrals in numerical integration of the n-body problem
10. The steady-state approximation; fact or fiction?
11. Numerical methods for mass action kinetics
12. Integration package for chemical kinetics
13. Asymptotische Stabilisierung von Integralen bei gewöhnlichen Differentialgleichungen 1
14. Examples of transformations improving the numerical accuracy of the integration of differential equations
15. Some mathematical properties of mass action kinetics
16. Recent progress in extrapolation methods for ordinary differential equations
17. The art of writing a Runge-Kutta code, II