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A new algorithm for generating derangements
Springer Science and Business Media LLC - - 1980
A new algorithm for generating derangements based on a well known permutation generation method is presented and analysed. The algorithm is shown to be superior in storage and time requirements to the existing method.
A Projected Indefinite Dogleg Path Method for Equality Constrained Optimization
Springer Science and Business Media LLC - - 1999
In this paper, we propose a 2-step trust region indefinite dogleg path method for the solution of nonlinear equality constrained optimization problems. The method is a globally convergent modification of the locally convergent Fontecilla method and an indefinite dogleg path method is proposed to get approximate solutions of quadratic programming subproblems even if the Hessian in the model is inde...... hiện toàn bộ
Semi-discrete Schwarz waveform relaxation algorithms for reaction diffusion equations
Springer Science and Business Media LLC - Tập 54 - Trang 831-866 - 2014
For time dependent problems, the Schwarz waveform relaxation (SWR) algorithm can be analyzed both at the continuous and semi-discrete level. For consistent space discretizations, one would naturally expect that the semi-discrete algorithm performs as predicted by the continuous analysis. We show in this paper for the reaction diffusion equation that this is not always the case. We consider two spa...... hiện toàn bộ
On the Best Choice for the Generating Polynomial of a Padé-Type Approximation
Springer Science and Business Media LLC - Tập 44 Số 2 - Trang 245-257 - 2004
Application of predictor-corrector schemes with several correctors in solving air pollution problems
Springer Science and Business Media LLC - Tập 24 - Trang 700-715 - 1984
Systems of ordinary differential equations obtained by using splitting-up techniques in some air pollution models and a pseudospectral (Fourier) discretization of the first-order space derivatives are considered. The application of a fairly general class of predictor-corrector (PC) schemes in the time-discretization process is discussed. Several corrections with different corrector formulae are ca...... hiện toàn bộ
Implicit Euler and Lie splitting discretizations of nonlinear parabolic equations with delay
Springer Science and Business Media LLC - Tập 54 - Trang 673-689 - 2014
A convergence analysis is presented for the implicit Euler and Lie splitting schemes when applied to nonlinear parabolic equations with delay. More precisely, we consider a vector field which is the sum of an unbounded dissipative operator and a delay term, where both point delays and distributed delays fit into the framework. Such equations are frequently encountered, e.g. in population dynamics....... hiện toàn bộ
The extrapolated first order method for solving systems with complex eigenvalues
Springer Science and Business Media LLC - Tập 24 - Trang 357-365 - 1984
An extrapolated form of the basic first order stationary iterative method for solving linear systems when the associated iteration matrix possesses complex eigenvalues, is investigated. Sufficient (and necessary) conditions are given such that convergence is assured. An analytic determination of good (and sometimes optimum) values of the involved real parameter is presented in terms of certain bou...... hiện toàn bộ
Optimization of functions whose values are subject to small errors
Springer Science and Business Media LLC - - 1977
Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations packageAbstract Rosenbrock–Wanner methods for systems of stiff ordinary differential equations are well known since the seventies. They have been continuously developed and are efficient for differential-algebraic equations of index-1, as well. Their disadvantage that the Jacobian matrix has to be updated in every time step becomes more and more obsolete when automatic dif... ... hiện toàn bộ
Springer Science and Business Media LLC - - 2023
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