Results 251 to 260 of about 25,857 (298)

An MEBDF code for stiff initial value problems

ACM Transactions on Mathematical Software, 1992
In two recent papers one of the present authors has proposed a class of modified extended backward differentiation formulae for the numerical integration of stiff initial value problems. In this paper we describe a code based on this class of formulae and discuss its performance on a large set of stiff test problems.
J R Cash, John R Rice
exaly   +2 more sources

High Frequency Vibrations in a Stiff Problem

Mathematical Models and Methods in Applied Sciences, 1997
The stiff problem here considered models the vibrations of a body consisting of two materials, one of them very stiff with respect to the other. We study the asymptotic behavior of the eigenvalues and eigenfunctions of the corresponding spectral problem, when the stiffness constant of only one of the materials tends to 0.
Lobo, Miguel, Pérez, Eugenia
openaire   +2 more sources

Exponential integrators for stiff elastodynamic problems

ACM Transactions on Graphics, 2014
We investigate the application of exponential integrators to stiff elastodynamic problems governed by second-order differential equations. Classical explicit numerical integration schemes have the shortcoming that the stepsizes are limited by the highest frequency that occurs within the solution spectrum of the governing equations, while implicit ...
Dominik Ludewig Michels, Gerrit Alexander Sobottka, Andreas G. Weber   +2 more
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A note on convergence concepts for stiff problems

Computing, 1990
Most convergence concepts for discretizations of nonlinear stiff initial value problems are based on one-sided Lipschitz continuity. Therefore only those stiff problems that admit moderately sized one-sided Lipschitz constants are covered in a satisfactory way by the respective theory. In the present note we show that the assumption of moderately sized
Winfried Auzinger, Reinhard Frank, Gabriela Kirlinger   +2 more
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Modified defect correction algorithms for ODEs. Part II: Stiff initial value problems

Numerical Algorithms, 2005
As shown in Part I of this paper and references therein, the classical method of Iterated Defect Correction (IDeC) can be modified in several nontrivial ways, extending the flexibility and range and applications of this type of iterative schemes.
Winfried Auzinger, Wolfgang Kreuzer
exaly   +2 more sources

Stiffness in technical initial problems

AIP Conference Proceedings, 2012
Technical initial problems are defined as initial problems where the right-hand side functions of the system are those occurring in the technical practice, that is functions generated by adding, multiplying and superposing elementary functions. Such systems can be expanded into systems with only rationals operations on the right-hand sides of the ...
Jiří Kunovský, Václav Šátek, Václav Vopěnka, Alexander Schirrer   +3 more
openaire   +1 more source

A class of explicit one-step methods of order two for stiff problems [PDF]

Journal of Numerical Mathematics, 2005
In this paper we introduce a new class of explicit one-step methods of order 2 that can be used for solving stiff problems. This class constitutes a generalization of the two-stage explicit Runge-Kutta methods, with the property of having an A-stability ...
P Novati
exaly   +2 more sources

Problem-dependent formulas for stiff problems

Journal of Computational Methods in Sciences and Engineering
A novel family of problem-dependent formulas is derived from a concept of eigenmode for the solution of ordinary differential equations. It has problem-dependent coefficients although constant coefficients are generally found for the currently available first order solvers. In general, it is a free parameter control formula.
Chiu-Li Huang, Karen Chang, Shuenn-Yih Chang   +2 more
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The stiff proximal interphalangeal joint – an unsolved problem?

Journal of Hand Surgery (European Volume), 2023
The proximal interphalangeal joint is critical for good hand function. Its anatomical complexities often predispose it to stiffness, involving damage to one or more structures. Improving or resolving the stiffness and increasing the range of motion require an accurate assessment and understanding of the pathogenesis.
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On the Tensor of Tangential Stiffness in Contact Problems

Physical Mesomechanics, 2018
In a nonsliding tangential contact, vectors of tangential force and tangential displacement are related by the tensor of tangential stiffness. Using the boundary element method, we calculate the principal values of the tensor of tangential stiffness for a number of contact shapes.
openaire   +1 more source