Blended block BVMS (B3VMs): A family of economical implicit methods for ODES
نویسندگان
چکیده
منابع مشابه
Economical Error Estimates for Block Implicit Methods for ODEs via Deferred Correction
Deferred correction is a widely used tool for improving the numerical approximation to the solution of ODE problems [10, 11, 12, 13, 16, 17, 18, 19, 20, 21, 23]. Indeed, it allows to estimate the error due to the use of discrete methods. Such an estimate may be a global one, in the case of continuous BVPs, or a local one, when IVPs are to be approximated [2, 7]. Recently, it has been implemente...
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A class of one-step methods which obtain a block of r new values at each step are studied. The asymptotic behavior of both implicit and predictor-corrector procedures is examined.
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In this paper we deal with Boundary Value Methods (BVMs), which are methods recently introduced for the numerical approximation of initial value problems for ODEs. Such methods, based on linear multistep formulae (LMF), overcome the stability limitations due to the well-known Dahlquist barriers, and have been the subject of much research in the last years. This has led to the definition of a ne...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2000
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(99)00280-0