The numerical solution of differential algebraic systems using Runge-Kutta methods of special type
Thesis/Dissertation
·
OSTI ID:5692857
In this dissertation the author is concerned with the solution of differential-algebraic equations using Runge Dutta methods whose coefficient matrices are singular. Not all such Runge Kutta methods are well defined when applied to differential-algebraic equations; however, Runge Kutta methods of special type are shown here to be well defined when applied to either constant coefficient or uniform index 1 differential-algebraic equations. He also derives conditions on the coefficients of such a method sufficient for any desired order.
- Research Organization:
- Iowa State Univ. of Science and Technology, Ames, IA (USA)
- OSTI ID:
- 5692857
- Country of Publication:
- United States
- Language:
- English
Similar Records
Galerkin/Runge-Kutta discretizations for parabolic partial differential equations
On the design of explicit boundary-value Runge-Kutta methods
Optimal error estimates for high order Runge-Kutta methods applied to evolutionary equations
Thesis/Dissertation
·
Tue Dec 31 23:00:00 EST 1985
·
OSTI ID:5271422
On the design of explicit boundary-value Runge-Kutta methods
Thesis/Dissertation
·
Sat Dec 31 23:00:00 EST 1988
·
OSTI ID:5215975
Optimal error estimates for high order Runge-Kutta methods applied to evolutionary equations
Thesis/Dissertation
·
Sat Dec 31 23:00:00 EST 1988
·
OSTI ID:5241289