Discretization methods for stable initial value problems / Eckart Gekeler
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1044Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1984ISBN: 9783540128809.ISSN: 1617-9692.Sujet MSC : 65L05, Numerical analysis, Numerical methods for initial value problems65L20, Numerical analysis, Stability and convergence of numerical methods for ordinary differential equations
65M20, Numerical analysis, Method of lines for initial value and initial-boundary value problems involving PDEs
65N40, Numerical methods for PDEs, boundary value problems, Method of lines
65L07, Numerical analysis, Numerical investigation of stability of solutionsEn-ligne : Springerlink | MathSciNet
The author presents an advanced up-to-date survey of discretization methods for stable initial value problems, in the standard definition-theorem-proof style. The work is divided into six chapters: multistep multiderivative methods for differential systems of first order; direct multistep multiderivative methods for differential systems of second order; linear multistep methods and problems with leading matrix A(t)=a(t)A; linear multistep methods and nonlinear differential systems of first order; Runge-Kutta methods for differential systems of first order; approximation of initial boundary value problems. Particular emphasis is placed on uniform a priori error estimates. The bibliography lists relevant recent articles and books. (MathSciNet)
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