Treating a single, stiff, second-order ODE directly

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摘要

The stability of direct methods for second-order systems is examined. The methods, suggested by Krogh, are generalized BDF methods. The control of stepsize to ensure stability is examined and criteria for deciding when to switch between methods are discussed.

论文关键词:Ordinary differential equations,numerical integration,stability

论文评审过程:Received 22 February 1988, Revised 21 December 1988, Available online 21 March 2002.

论文官网地址:https://doi.org/10.1016/0377-0427(89)90021-6