Application of J_MN Approximants to Numerical Initial-value Problems in Linear Differential-algebraic Systems

1 April 1975

journal article
Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics

Vol. 15 (2) , 267-272
https://doi.org/10.1093/imamat/15.2.267

Abstract

For f: [0,∞) → R, the J_MN approximant of f(t) is where M and N are non-negative integers and β_k, α_i,K_i are defined constants. Under appropriate conditions on f and provided Re(α_i) > 0 The approximants are the bases of recursions for numerical initial-value problems in linear differential-algebraic systems with constant coefficients. The recursions are Σstable when N ≤ M ≤ N−2. Each step of a recursion involves mainly the solution of N/2 uncoupled algebraic systems.

Keywords

DIFFERENTIAL ALGEBRA
INITIAL VALUE PROBLEM

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Application of JMN Approximants to Numerical Initial-value Problems in Linear Differential-algebraic Systems

Abstract

Keywords

Application of J_MN Approximants to Numerical Initial-value Problems in Linear Differential-algebraic Systems