NDLI: Sharp Convergence Rates for Nonlinear Product Formulas

Content Provider	Scilit
Author	Schechter, Eric
Copyright Year	1984
Description	Nonlinear versions of the Lie-Trotter product formula $\exp [t(A + B)] = {\lim _{n \to \infty }}{[\exp ((t/n)A)\exp ((t/n)B)]^n}$ and related formulas are given in this paper. The convergence rates are optimal. The results are applicable to some nonlinear partial differential equations.
Related Links	https://www.ams.org/mcom/1984-43-167/S0025-5718-1984-0744928-0/S0025-5718-1984-0744928-0.pdf
Ending Page	155
Page Count	21
Starting Page	135
ISSN	00255718
e-ISSN	10886842
DOI	10.2307/2007403
Journal	Mathematics of Computation
Issue Number	167
Volume Number	43
Language	English
Publisher	Duke University Press
Publisher Date	1984-07-01
Access Restriction	Open
Subject Keyword	Mathematical Social Sciences Semigroup Resolvent Split Step Method Evolution Exponential Convergence Rate Composition Dissipative
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Algebra and Number Theory Computational Mathematics

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Sharp Convergence Rates for Nonlinear Product Formulas