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ENTCS
2002
110views more  ENTCS 2002»
14 years 9 months ago
The Solution Operator of the Korteweg-de Vries Equation is Computable
The initial value problem of the Korteweg-de Vries (KdV) equation posted on the real line R: ut + uux + uxxx = 0, x R, t R u(x, 0) = (x), defines a nonlinear map KR from the ...
Klaus Weihrauch, Ning Zhong 0002
CORR
2006
Springer
101views Education» more  CORR 2006»
14 years 9 months ago
Fast computation of power series solutions of systems of differential equations
We propose algorithms for the computation of the first N terms of a vector (or a full basis) of power series solutions of a linear system of differential equations at an ordinary ...
Alin Bostan, Frédéric Chyzak, Fran&c...
COMPUTING
2006
130views more  COMPUTING 2006»
14 years 9 months ago
Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic
We investigate the numerical solution of large-scale Lyapunov equations with the sign function method. Replacing the usual matrix inversion, addition, and multiplication by format...
Ulrike Baur, Peter Benner
ICCS
2003
Springer
15 years 2 months ago
Invariant Manifolds and Grobman-Hartman Theorem for Equations with Degenerate Operator at the Derivative
Abstract. Analog of Grobman-Hartman theorem about stable and unstable manifolds solutions for differential equations in Banach spaces with degenerate Fredholm operator at the deri...
Bülent Karasözen, Irina Konopleva, Boris...