Results 121 to 130 of about 11,917,932 (151)
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Explicit Nordsieck methods with extended stability regions
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zbigniew Bartoszewski +1 more
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Explicit Nordsieck second derivative general linear methods for ODEs
ANZIAM Journal, 2022 The paper deals with the construction of explicit Nordsieck second derivative general linear methods with \(s\) stages of order \(p\) with \(p=s\) and high stage order \(q=p\) with inherent Runge–Kutta or quadratic stability properties. Satisfying the order and stage order conditions together with inherent stability conditions leads to methods with ...
P. RAMAZANI +3 more
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Nordsieck methods with computationally verified algebraic stability
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zdzislaw Jackiewicz, Michał Bras
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Global Error Control in Adaptive Nordsieck Methods
SIAM Journal of Scientific Computing, 2012This 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.
G Yu Kulikov
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On the Stability of Variable-Stepsize Nordsieck BDF Methods
SIAM Journal on Numerical Analysis, 1987Die Verf. studieren die asymptotische Stabilität der rückwärts genommenen Differentiationsformeln in Nordsieck-Form auf nichtäquidistanten Gittern. Bei einem Wechsel der Schrittweite wird die Nordsiecksche Interpolationstechnik verwandt. Damit sind bei der Stabilitätsanalyse die Normen der Produkte der sich mit dem Schrittweitenwechsel ebenfalls ...
Calvo, M., Lisbona, F., Montijano, J.
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A note on “A modification of Nordsieck's method using an ‘Off-Step’ point”
Communications of the ACM, 1971An 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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Linearly-implicit two-step methods and their implementation in Nordsieck form
Applied Numerical Mathematics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Helmut Podhaisky, B A Schmitt
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On the Stability of Interpolatory Variable-Stepsize Adams Methods in Nordsieck Form
SIAM Journal on Numerical Analysis, 1989In 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 ...
Calvo, M., Lisbona, F., Montijano, J.
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Implementation of Nordsieck second derivative methods for stiff ODEs
Applied Numerical Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gholamreza Hojjati, Ali Abdi
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Nordsieck representation of two-step Runge–Kutta methods for ordinary differential equations
Applied Numerical Mathematics, 2005Two-step Runge-Kutta methods are a generalization of classical one-step methods, where each integration step reuses quantities computed in the previous step. Although they can attain higher accuracy for a given number of function evaluations than for standard Runge-Kutta methods, they are less convenient to implement with variable stepsize. The authors
Zbigniew Bartoszewski +1 more
exaly +3 more sources