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An explicit two-step method exact for the scalar test equation y′ = λy

✍ Scribed by Xin-Yuan Wu; Jian-Lin Xia

Book ID
104351775
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
412 KB
Volume
39
Category
Article
ISSN
0898-1221

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✦ Synopsis

An explicit two-step method exact for the scalar test equation y~ = Ay, Re(A) < 0 is presented in this paper. It is exponentially fitted, L-stable (thus, A-stable), and of order 2. With a new set of vector computations, we also extend directly the method to systems of ordinary differential equations. The numerical experiments demonstrate that this explicit two-step method is suitable for stiff systems.

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