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Characterization of the order of convergence and A∞ stability of special collocation methods

Abstract

Section Numerical Analysis T 345 -__-- and now, for example, (2.6) (line number) Al = l + i A, = 1 As = 0 A, = 2i - - ~ _____-- el = TT (1 + 1 / 2) 2E el = i-- 4.5 e3 c 3.65 E p4 --- 3.65 E - (4.3) - 2s 4 4 E <0, s E <095 E Anyway, (2.7) and (2.8 ) with parameters that can still be freely selected. 2 GERSCHQO ~, S., on the delimitation of the eigenvalues ​​of a matrix, Bull. Acad. Sci. de l’URSS (1931), 749-754. 3 FALK, S., Expansion of Polynomials and Polynomial Matrices, appears in this journal. Copy: Prof. Dr.-Ing. S. FALE, Chair for Mechmics iind the Department of TechniRohPn Univemitiil. Rraunrmhneig, Postfach 3329, D-3300 Braiinschweig, FRG PM Fucn ~ Characterization of the order of convergence and Aw stability of special collocation methods For the numerical solution of initial value problems in common first-order differential equations, MBLTHEI in [3] named a general method - V for short - is presented, in which a spline s EC * is successively generated, which consists in pieces of polynomials of the highest degree m, m> q 2 1. Each one

journal

Zamm-Journal of Applied Mathematics and Mechanics - Wiley

Published: Jan 1, 1983