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ENTCS
2002
110views more  ENTCS 2002»
13 years 5 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»
13 years 5 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»
13 years 5 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
13 years 10 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...