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Titlebook: Numerische Behandlung von Differentialgleichungen; Tagung im Mathematis R. Ansorge,L. Collatz,W. Törnig Book 1975 Springer Basel AG 1975 Di

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The Solution of Systems of Stiff Nonlinear Differential Equations by Recursive Collocation Using Ex solved numerically by approximating the solution Y(x) on each subinterval of a given partition π.: a = t. < t. < ... < t. = b by a function of the form ., where m = m(k) ≧ 1. The quantities {λ.} are given: they are the eigenvalues (assumed to be real) of the (approximate) Jacobian of the system at
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A Regularization Method for the Identification of Environmental Systems, T ∈ ℒ (U, V), A ∈ ℒ (R., R.), X ∈ ℒ(U, R.), u ∈ U, f ∈ R., (U, V)Hilbert spaces and R. Euclidean space), has been developed. These results have been ap — plied to identify a flood wave propagation li — near model and to study multicompartiment models for populations dynamics in ecosystems.
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Differenzenverfahren for Quasilineare Parabolische Anfangsrandwertaufgaben,ordr. L(x,t;u)=0 is supposed to be the Euler equation of a corresponding variational problem for which a discrete analogue is constructed. To the resulting semi-discrete problem Crank-Nicolson’s method, a backward differentiation method, and the boundary value method suggested by Greenspan are appli
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Ober die Numerische Behandlung von Variationsproblemen mit Natorlichen Randbedingungen in Zwei Dimem is supposed to follow from a variational problem with natural boundary conditions,in which uniqueness of the solution u can only be obtained by imposing an additional condition, e.g. . for some .. Convergence is proven by means of an inequality relating certain norms of mesh functions.
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Zur Diskretisierung von Variationsproblemen,o it by a discrete analogue to get (in any case) a symmetric discrete Euler equation. Sufficient conditions for the consistency of the discrete Euler equation with two examples are given. For one of these discretisations we show uniform quadratic convergence for one and two dimensional problems of s
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,Stabilität bei der Methode der Finiten Elemente for Quasilineare Elliptische Randwertprobleme,al problem. The boundary conditions include Dirichlet’s problem and the third boundary value problem. As trial functions for the finite element method we use piecewise polynomials of arbitrary degree, which can be either Lagrange — or Hermite — interpolation polynomials. Generalizing known results s
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