Backward differentiation approximations of nonlinear differential/algebraic systems
1988 (English)In: Mathematics of Computation, ISSN 0025-5718, E-ISSN 1088-6842, Vol. 51, no 84, 659-676 p.Article in journal (Refereed) Published
Finite-difference approximations of dynamical systems modeled by nonlinear, semiexplicit, differential/algebraic equations are analyzed. Convergence for the backward differentiation method is proved for index two and index three problems when the numerical initial values obey certain constraints. The appropriate asymptotic convergence rates and the leading error terms are determined.
Place, publisher, year, edition, pages
1988. Vol. 51, no 84, 659-676 p.
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-90504OAI: oai:DiVA.org:kth-90504DiVA: diva2:505745
NR 201408052012-02-242012-02-24Bibliographically approved