Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

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

 

 

Sharp convergence rates for nonlinear product formulas


Author: Eric Schechter
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65J15, 34G20, 47H15

Retrieve articles in all journals with MSC: 65J15, 34G20, 47H15


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1984-0744928-0
Keywords: Accretive, alternating direction method, approximation scheme, composition, convergence rate, dissipative, evolution, exponential, fractional step method, resolvent, semigroup, split step method
Article copyright: © Copyright 1984 American Mathematical Society