Block Implicit Hybrid One-Step Methods

Block Implicit Hybrid One-Step Methods

Year:    1990

Author:    Jian-Ming Miao

Journal of Computational Mathematics, Vol. 8 (1990), Iss. 2 : pp. 99–107

Abstract

A class of k-block implicit hybrid methods for solving the initial value problem for ordinary differential equations are studied, which take a block of k new values at each step. These methods are examined for the property of A-stability. It is shown that the method of order 2k+2 exists uniquely, and these methods are A-stable for block sizes k=1,2,3,4,5.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1990-JCM-9423

Journal of Computational Mathematics, Vol. 8 (1990), Iss. 2 : pp. 99–107

Published online:    1990-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:   

Author Details

Jian-Ming Miao