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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Sharp convergence rates for nonlinear product formulas
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by Eric Schechter PDF
Math. Comp. 43 (1984), 135-155 Request permission

Abstract:

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.
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Math. Comp. 43 (1984), 135-155
  • MSC: Primary 65J15; Secondary 34G20, 47H15
  • DOI: https://doi.org/10.1090/S0025-5718-1984-0744928-0
  • MathSciNet review: 744928