Results 111 to 120 of about 240 (144)

Local and global error estimation in Nordsieck methods

Russian Journal of Numerical Analysis and Mathematical Modelling, 2008
Gennady Yu. Kulikov, Sergey Shindin
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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. Braś, Angelamaria Cardone
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Solution of the Bloch-Nordsieck model by the Delbourgo-West method

Theoretical and Mathematical Physics, 1980
A. I. Alekseev, A. Ya. Rodionov
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Global Error Control in Adaptive Nordsieck Methods

SIAM Journal on Scientific Computing, 2012
This paper deals with variable-stepsize Nordsieck formulas applied to ordinary differential equations. It focuses on local and global error evaluation techniques in the mentioned numerical schemes. The error estimators are derived for both consistent Nordsieck methods and quasi-consistent ones.
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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 ...
Kohfeld, J. J., Thompson, G. T.
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On the non-equivalence of maximum polynomial degree nordsieck-gear and classical methods

, 1974
Roy Danchick
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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
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A note on “A modification of Nordsieck's method using an ‘Off-Step’ point”

Communications of the ACM, 1971
An examination was made of the experimental results presented by J.J. Kohfeld and G.T. Thompson [1] in their paper on a modification of Nordsieck's method for the numerical solution of ordinary differential equations, using a multiple precision arithmetic package [2] available on the IBM 7094 at The Ohio State University Computer Center. A
John W. Blumberg, Clinton R. Foulk
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On Nordsieck's method for the numerical solution of ordinary differential equations

BIT, 1966
The connection between the class of methods suggested by Nordsieck and the class of linear multi-step methods is examined. It is shown that the starting procedure suggested by Nordsieck is specially suited to the Adams method.
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Molecular imaging in oncology: Current impact and future directions

Ca-A Cancer Journal for Clinicians, 2022
Steven P Rowe, Martin G Pomper
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