A proof of the first dahlquist barrier by order stars |
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| Authors: | Arieh Iserles Syvert P Nørsett |
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| Institution: | (1) King's College, University of Cambridge, CB2 1ST Cambridge, England;(2) Institutt for Numerisk Matematikk, Norges Tekniske Høgskole, 7034 Trondheim-NTH, Norway |
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| Abstract: | Dahlquist proved that under the condition of zero-stability the order of lineark-step methods is bounded by 2(k+2)/2]. In the present paper we provide a proof of this celebrated result by using the theory of order stars.
Dedicated to Germund Dahlquist on his 60th birthday; the initial value and global maximum of our research. |
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