منابع مشابه
Symplectic Integration with Variable Stepsize
There is considerable evidence suggesting that for Hamiltonian systems of ordinary differential equations it is better to use numerical integrators that preserve the symplectic property of the ow of the system, at least for long-time integrations. We present what we believe is a practical way of doing symplectic integration with variable stepsize. Another idea, orthogonal to variable stepsize, ...
متن کاملStability of variable and random stepsize LMS
The stability of variable stepsize LMS (VSLMS) algorithms with uncorrelated stationary Gaussian data is studied. It is found that when the stepsize is determined by the past data, the boundedness of the stepsize by the usual stability condition of xed stepsize LMS is su cient for the stability of VSLMS. When the stepsize is also related to the current data, the above constraint is no longer su ...
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A systematic way of extending a general fixed-stepsize multistep formula to a minimum storage variable-stepsize formula has been discovered that encompasses fixed-coefficient (interpolatory), variable-coefficient (variable step), and fixed leading coefficient as special cases. In particular, it is shown that the " interpolatory" stepsize changing technique of Nordsieck leads to a truly variable...
متن کاملSpeed and Accuracy Tests of the Variable-Step Stoermer-Cowell Integrator
The variable-step Störmer-Cowell integrator is a non-summed, double-integration multi-step integrator derived in variable-step form. The method has been implemented with a Shampine-Gordon style error control algorithm that uses an approximation of the local error at each step to choose the step size for the subsequent step. In this paper, the variable-step Störmer-Cowell method is compared to s...
متن کاملVariable-Stepsize Interpolating Explicit Parallel Peer Methods with Inherent Global Error Control
In this paper, we present variable-stepsize explicit parallel peer methods grounded in the interpolation idea. Approximation, stability, and convergence are studied in detail. In particular, we prove that some interpolating peer methods are stable on any variable mesh in practice. Double quasi consistency is utilized to introduce an efficient global error estimation formula in the numerical met...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2005
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2005.09.011