
doi: 10.1002/nla.287
AbstractIn this paper we use the theory of Faber polynomials for solving N‐dimensional linear initial value problems. In particular, we use Faber polynomials to approximate the evolution operator creating the so‐called exponential integrators. We also provide a consistence and convergence analysis. Some tests where we compare our methods with some Krylov exponential integrators are finally shown. Copyright © 2002 John Wiley & Sons, Ltd.
Faber polynomials, Linear ordinary differential equations and systems, Other matrix algorithms, initial value problems, truncated Faber series, Numerical methods for initial value problems involving ordinary differential equations, approximation, matrix exponential
Faber polynomials, Linear ordinary differential equations and systems, Other matrix algorithms, initial value problems, truncated Faber series, Numerical methods for initial value problems involving ordinary differential equations, approximation, matrix exponential
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