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.