Results 91 to 100 of about 240 (144)
Nordsieck methods with computationally verified algebraic stability
Applied Mathematics and Computation, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Braś, Z. Jackiewicz
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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 $
Robert D. Skeel, L. W. Jackson
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Nordsieck Methods with an Off-Step Point
Numerical Algorithms, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. C. Butcher, Alannah Eileen O'Sullivan
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Transverse-momentum distribution from the Bloch-Nordsieck method
Physical Review D, 1977 The transverse-momentum distribution is studied using the Bloch-Nordsieck method. An approximate analytic form for the above distribution is found, which maintains the normalization as well as reproduces the exact result for the average (squared) transverse momentum, $〈{{k}_{\ensuremath{\perp}}}^{2}〉$. For large ${k}_{\ensuremath{\perp}}$, our proposed
G. Pancheri-Srivastava, Y. Srivastava
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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,
K. S. Singwi, B. M. Udgaonkar
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Explicit Nordsieck methods with extended stability regions
Applied Mathematics and Computation, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Z. Bartoszewski, Z. Jackiewicz
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On the Stability of Interpolatory Variable-Stepsize Adams Methods in Nordsieck Form
SIAM Journal on Numerical Analysis, 1989 In the existing ODE codes stepsize controls are incorporated. In order to ensure the stability of the integration process restrictions on the stepsize variation must be imposed. The authors consider various strategies for the stepsize selection and corresponding conditions for the allowable ratio \(h_{j+1}/h_ j\) of consecutive stepsize for the Adams ...
M. Calvo, F.J. Lisbona, J.I. Montijano
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A Class of Variable-Step Explicit Nordsieck Multivalue Methods
SIAM Journal on Numerical Analysis, 1994 Exploratory results are presented for a class of variable-step, three- step, three-stage, explicit Nordsieck multivalue methods of order six. The aim is to demonstrate that the new methods are potentially more efficient than existing methods of the same order. Numerical comparisons are given.
Kevin Burrage, P. W. Sharp
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Linearly-implicit two-step methods and their implementation in Nordsieck form
Applied Numerical Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Helmut Podhaisky +2 more
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Efficient Nordsieck second derivative general linear methods: construction and implementation
Calcolo, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Abdi, Batoul Behzad
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