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

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楼主: decoction
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Computation of solenoidal (divergence-free) vector fields,lenoidal (divergence-free) part. The algorithm combines finite differences before and after the calculation of a singular integral. We prove convergence for this algorithm and present illustrative numerical results for the cases tested. A number of applications are discussed.
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Efficient solution of a nonlinear heat conduction problem by use of fast elliptic reduction and mulical methods. As the solvers are applied at each time and each linearization step the total computing time considerably depends on their efficiency. As a result, we show that the use of a special Multigrid Solver in connection with the time step size control yields a very efficient composite algorithm.
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Solving odes in quasi steady state,lysts have developed methods to solve general stiff ODEs. How they relate to the problem at hand is described and some difficulties pointed out. Finally, ideas from both approaches are combined. The new combination deals effectively with stiffness when the quasi steady state hypothesis is valid.
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Computation of solenoidal (divergence-free) vector fields,ations describing the flow. Accordingly projection of a vector field v onto its solenoidal (divergence-free) part plays a fundamental role and in some respects is one of the most difficult aspects in the numerical analysis of such problems..We first survey and describe the schemes that have been dev
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Automatic detection and treatment of oscillatory and/or stiff ordinary differential equations,he low-cost, automatic detection of oscillatory behavior, the determination of its period, and methods for its subsequent efficient integration. It also discusses stiffness detection. In the first phase, the method for oscillatory problems discussed examines the output of any integrator to determine
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Solving odes in quasi steady state,ns, and numerical analysts. Because of this, it is a very appropriate topic for this interdisciplinary workshop..In this paper we shall first discuss what stiffness is for model problems arising in chemical kinetics. Chemists and applied mathematicians have made use of quasi steady state approximati
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