Efficient second derivative methods with extended stability regions for non-stiff IVPs-Reference-Cited by-同舟云学术

Efficient second derivative methods with extended stability regions for non-stiff IVPs

Published:2017-03-20 Issue:2 Volume:37 Page:2001-2016
ISSN:0101-8205
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Barghi Oskouie N.,Hojjati G.,Abdi A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/article/10.1007/s40314-017-0436-y/fulltext.html

Reference20 articles.

1. Abdi A (2016) Construction of high-order quadratically stable second-derivative general linear methods for the numerical integration of stiff ODEs. J Comput Appl Math 303:218–228

2. Abdi A, Hojjati G (2011a) An extension of general linear methods. Numer Algorithm 57(2):149–167

3. Abdi A, Hojjati G (2011b) Maximal order for second derivative general linear methods with Runge–Kutta stability. Appl Numer Math 61(10):1046–1058

4. Abdi A, Braś M, Hojjati G (2014) On the construction of second derivative diagonally implicit multistage integration methods for ODEs. Appl Numer Math 76:1–18

5. Abdi A, Hojjati G (2015a) High order second derivative methods with Runge–Kutta stability for the numerical solution of stiff ODEs. Iran J Numer Anal Optim 5(2):1–10

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