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Semi-analytical Time Differencing Methods for Stiff Problems

Journal of Scientific Computing, 2014
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Jung, Chang-Yeol, Nguyen, Thien Binh
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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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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
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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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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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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
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Problems Involving the Stiffness of Aeroplane Wings

The Journal of the Royal Aeronautical Society, 1934
An aircraft may reasonably be said to be structurally safe if it is known that during the manoeuvres which it is likely to perform(i) The stress in no part of the essential structure approaches the failing stress of the material,(ii) It does not become unstable or uncontrollable on account of structural distortion.I intend to discuss in this context ...
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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.
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Elementary Soft and Stiff Problems

1994
For a large class of homogenization problems the given periodic matrix A(x) satisfies the usual inequality v1I ≤ A(x) ≤ v2I (v1, v2 > 0) at all points of ℝ m outside certain subsets, called inclusions, where the matrix A(x) is degenerate. Two main types of degeneration are usually considered: if A(x) = 0, then we speak of soft inclusions, or a soft ...
V. V. Jikov, S. M. Kozlov, O. A. Oleinik
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The problem of designing laminated plates with specified stiffnesses

Journal of Applied Mathematics and Mechanics, 2000
The paper deals with a laminated plate whose layers are parallel to the coordinate plane and consist of homogeneous isotropic materials. The authors discuss the method of designing the laminated plate with prescribed rigidity characteristics. Numerical algorithms are presented as well some numerical results.
Kolpakov, A. G., Sheremet, I. G.
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