Results 131 to 140 of about 11,917,932 (151)

Construction of the Nordsieck second derivative methods with RK stability for stiff ODEs

Computational and Applied Mathematics, 2018
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Ali Abdi, Bahman Ghazanfari
exaly   +3 more sources

Nordsieck methods for non-stiff ordinary differential equations

, 2012
General linear methods are a wide class of numerical methods for solving ordinary differential systems which includes many classical methods, such as for example Runge-Kutta or linear multistep methods. We describe the construction of explicit methods in Nordsieck form with the so-called quadratic stability (QS), i.e. methods with stability function of
M. Bras, CARDONE, Angelamaria
openaire   +2 more sources

Local and global error estimation in Nordsieck methods

Russian Journal of Numerical Analysis and Mathematical Modelling, 2008
G Yu Kulikov
exaly   +2 more sources

Error Estimation for Nordsieck Methods

Numerical Algorithms, 2002
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John C. Butcher, Zdzislaw Jackiewicz
openaire   +3 more sources

The Stability of Variable-Stepsize Nordsieck Methods

SIAM Journal on Numerical Analysis, 1983
Conditions are given for the stability of multistep methods that vary the stepsize using the interpolation technique of Nordsieck. If the stepsize selection function is variation-bounded, then these methods are stable. Alternatively there exist constants a, b, c depending on the method and satisfying $a \leqq b < 1 < c$ such that if the stepsize ratio $
Skeel, R. D., Jackson, L. W.
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Polaron Self-Energy and Bloch-Nordsieck Method

Physical Review, 1954
By using the Bloch-Nordsieck method the self-energy of a polaron has been investigated in two limiting cases: (i) when the polaron velocity is low, i.e., mv 2 ħω, and (ii) when the velocity is high, i.e., mv 2 ħω. In case (i), this method gives results which are no better than those obtained by the use of the customary second-order perturbation theory,
Singwi, K. S., Udgaondar, B. M.
openaire   +1 more source

A Modification of Nordsieck's Method Using an ``Off-Step'' Point

Journal of the ACM, 1968
In 1962, Nordsieck presented a series of numerical methods for solving ordinary differential equations which rely on Taylor's series, but which are equivalent to the correctors in the Adams methods. In a method of Nordsieck, simplifications, such as in the often desirable process of changing step size, are made, since it is unnecessary to store more ...
John J. Kohfeld, Gene Thomas Thompson
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On the Study of the bremsstrahlung by Bloch and Nordsieck’s method

Il Nuovo Cimento, 1956
The single bremsstrahlung is studied here with Bloch and Nordsieck’s approximation. The resulting formula is compared with that obtained by the perturbation method. The agreement of the two formulae for low energy photons is verified. Then we study the polarization of the emitted radiation, using our approximate formula.
R. Ascoli, G. Bussetti
openaire   +1 more source

XXVI. A covariant formulation of the Block-Nordsieck method

The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1951
Summary The results of the Bloch-Nordsieck method are derived in a covariant manner, based on a covariant form of the commutation-relations in momentum space.
W. Thirring, B. Touschek
openaire   +1 more source

Nordsieck methods on nonuniform grids: Stability and order reduction phenomenon

Mathematics and Computers in Simulation, 2006
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Gennady Y. Kulikov, Sergey Konstantinovich Shindin   +1 more
openaire   +2 more sources