Journal ArticleDOI
Klassische Runge-Kutta-Formeln vierter und niedrigerer Ordnung mit Schrittweiten-Kontrolle und ihre Anwendung auf Wärmeleitungsprobleme
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TLDR
These new formulas are suitable for the numerical integration of heat transfer problems after discretisation of these problems in the space variables, since stability considerations, occurring in such problems, would eliminate the benefits of high-orderRunge-Kutta formulas.Abstract:
Es werden neue, expliziteRunge-Kutta-Formeln vierter und niedrigerer Ordnung mitgeteilt. Diese Formeln enthalten eine Schrittweiten-Kontrolle, die auf einer vollstandigen Erfassung des ersten Gliedes des lokalen Abbruchfehlers basiert. Die Formeln haben wesentlich kleinere Abbruchfehler als entsprechende Formeln anderer Autoren. Diese neuen Formeln eignen sich zur numerischen Integration von in den Raumvariablen diskretisierten Warmeleitungsproblemen, da die bei solchen Problemen auftretenden Stabilitatsverhaltnisse die zulassige Schrittweite vonRunge-Kutta-Formeln hoherer Ordnung beeintrachtigen wurden. Die Formeln werden auf ein Beispiel fur ein Warmeleitungsproblem angewandt.read more
Citations
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Monte Carlo and Charge Transport Simulation of Pixel Detector Systems
TL;DR: In this article, the simulation of a novel coating for solid state neutrondetectors is discussed as well as the implementation of a simu cation for semiconductor X-ray detectors.
Book ChapterDOI
Initial Value Problems
TL;DR: In this article, the authors introduce linear multistep methods for initial values problems for ODEs with constant coefficients and their approximations in terms of matrix exponentials.
Proceedings ArticleDOI
A Refined Formulation for One-Dimensional Modeling of Compressible and Supersonic Reacting Flows
Dissertation
Experimental and modelling studies of the adsorption of acetone on ice surfaces at temperatures around 200 K
TL;DR: In this paper, a kinetic model has been developed to describe the adsorption and desorption kinetics of acetone on ice surfaces in tubular flow reactors and the rate coefficients for adaption and de-adaption were derived by applying the model to the temporal profiles of the gas phase concentration at the exit of the flow reactor.
Journal ArticleDOI
Analysis of the fractional modification of the monocyclic enzyme cascades, defined in an alternative way involving the two forms of the modified protein
Maria D. Masia,Manuela García-Moreno,Francisco García-Sevilla,Julio Escribano,Milagros Molina-Alarcón,María Llanos Amo-Saus,Enrique Arribas,Ramón Varón +7 more
TL;DR: This paper presents the discussion of a more complete definition of the fractional modification of an monocyclic enzyme cascade as the quotient of the sum of all forms of the modified protein between the initial concentration of the target protein.
References
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Classical Fifth-, Sixth-, Seventh-, and Eighth-Order Runge-Kutta Formulas with Stepsize Control
TL;DR: Runge-Kutta formulas of high order with stepsize control through leading truncation error term through leading parallelogram error term.
Journal ArticleDOI
Klassische Runge-Kutta-Formeln fünfter und siebenter Ordnung mit Schrittweiten-Kontrolle
TL;DR: New explicit fifth- and seventh-orderRunge-Kutta formulas are derived that include a stepsize control procedure based on a complete coverage of the leading term of the local truncation error.