The Implementation of SIRK Methods for Differential Algebraic Equations

Show simple item record Nilsen, E.H. en 2009-08-28T03:21:47Z en 2009-08-28T03:21:47Z en 1997-04 en
dc.identifier.citation Department of Mathematics - Research Reports-378 (1997) en
dc.identifier.issn 1173-0889 en
dc.identifier.uri en
dc.description.abstract The aim of this report is to survey some aspects of implict differential equations, differential algebraic equations, and their numerical solution. We will formulate an algorithm to solve implicitly defined differential systems by singly implicit Runge-Kutta methods, and see how estimates of the local error can be computed. Then we will give some convergence results for Runge-Kutta methods applied to differential algebraic systems. As a part of the project we have implemented an experimental version of the stiff ODE solver STRIDE by J.C. Butcher, K. Burrage and F.H. Chipman. The new code is capable of solving systems in implicit form and some differential algebraic systems. We have used the code to verify the convergence results and the local error estimates for SIRK methods. Furthermore we have tested the experimental code on some real applications. en
dc.publisher Department of Mathematics, The University of Auckland, New Zealand en
dc.relation.ispartofseries Research Reports - Department of Mathematics en
dc.rights.uri en
dc.source.uri en
dc.title The Implementation of SIRK Methods for Differential Algebraic Equations en
dc.type Technical Report en
dc.subject.marsden Fields of Research::230000 Mathematical Sciences::230100 Mathematics en
dc.rights.holder The author(s) en

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