Titlebook: Numerical Integration of Differential Equations and Large Linear Systems; Proceedings of two W Juergen Hinze Conference proceedings 1982 Sp

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Numerical Integration of Differential Equations and Large Linear Systems978-3-540-39374-0Series ISSN 0075-8434 Series E-ISSN 1617-9692

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0075-8434 Overview: 978-3-540-11970-8978-3-540-39374-0Series ISSN 0075-8434 Series E-ISSN 1617-9692

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Characterization of non-linearly stable implicit Runge-Kutta methods,aically stable (A-contractive, B-stable) Runge-Kutta methods. These are methods for which the numerical solutions remain contractive if the (nonlinear) differential equation has contractive solutions. The proofs are sometimes omitted or sketched only, their details can be found in [13].

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,Weyl’s theory for second order differential equations and its application to some problems in quantWeyl‘s complex eigenvalue theory is examined with respect to analyticity properties of solutions and associated Green‘s functions. Numerical aspects are discussed and some applications in quantum chemistry reviewed.