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Volume 8, Issue 2
Block Implicit Hybrid One-Step Methods

Jian-Ming Miao

J. Comp. Math., 8 (1990), pp. 99-107.

Published online: 1990-08

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  • 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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@Article{JCM-8-99, author = {Miao , Jian-Ming}, title = {Block Implicit Hybrid One-Step Methods}, journal = {Journal of Computational Mathematics}, year = {1990}, volume = {8}, number = {2}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9423.html} }
TY - JOUR T1 - Block Implicit Hybrid One-Step Methods AU - Miao , Jian-Ming JO - Journal of Computational Mathematics VL - 2 SP - 99 EP - 107 PY - 1990 DA - 1990/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9423.html KW - AB -

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.

Miao , Jian-Ming. (1990). Block Implicit Hybrid One-Step Methods. Journal of Computational Mathematics. 8 (2). 99-107. doi:
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