Results 261 to 270 of about 25,857 (298)
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DESI methods for stiff initial-value problems
ACM Transactions on Mathematical Software, 1996Recently, the so-called DESI (diagonally extended singly implicit) Runge-Kutta methods were introduced to overcome some of the limitations of singly implicit methods. Preliminary experiments have shown that these methods are usually more efficient than the standard singly implicit Runge-Kutta (SIRK) methods and, in many cases, are competitive with ...
John C. Butcher +2 more
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The problem of designing laminated plates with specified stiffnesses
Journal of Applied Mathematics and Mechanics, 2000The 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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Problems Involving the Stiffness of Aeroplane Wings
The Journal of the Royal Aeronautical Society, 1934An 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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A Noniterative Problem-Dependent Formula for Stiff Dynamic Problems
Journal of Computational and Nonlinear Dynamics, 2022Abstract A novel one-step formula is proposed for solving initial value problems based on a concept of eigenmode. It is characterized by problem dependency since it has problem-dependent coefficients, which are functions of the product of the step size and the initial physical properties to define the problem under analysis.
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Multistep Methods for Stiff Problems
1991Multistep methods (BDF) were the first numerical methods to be proposed for stiff differential equations (Curtiss & Hirschfelder 1952) and since Gear’s book (1971) computer codes based on these methods have been the most prominent and most widely used for all stiff computations.
Ernst Hairer, Gerhard Wanner
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Elementary Soft and Stiff Problems
1994For 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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2002
This chapter discusses some techniques for handling stiff and singular problems, using Chebyshev methods. The solution of a stiff problem is regular but exhibits large variations in a region of small extent. For convergence reasons, the collocation points cannot be clustered arbitrarily in the rapid variation region, so that an appropriate distribution
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This chapter discusses some techniques for handling stiff and singular problems, using Chebyshev methods. The solution of a stiff problem is regular but exhibits large variations in a region of small extent. For convergence reasons, the collocation points cannot be clustered arbitrarily in the rapid variation region, so that an appropriate distribution
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A definition of stiff differential problems
USSR Computational Mathematics and Mathematical Physics, 1984Translation from Zh. Vychisl. Mat. Mat. Fiz. 24, No.4, 599-601 (Russian) (1984; Zbl 0559.65053).
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‘A stiff is still a stiff in this country’: the Problem of Murder in Wartime
2010My title comes from Margery Allingham’s 1945 novel Coroner’s Pidgin, and its absurd assertion of moral force is indicative of the contradictions pervading popular fiction in wartime. The words are spoken by Magersfontein Lugg, erstwhile manservant to Allingham’s series detective Albert Campion, and they take the form of a reproach.
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Mode pushing and stiff convergent problems
IEEE Transactions on Magnetics, 1983Stiff Convergent Problems are the ones that have some modes that converge very slowly when solved using iterative techniques. Mode pushing (MP), superimposed on these techniques, is a method of accelerating convergence of only these modes. This paper discusses the theory of the MP method and a practical algorithm which estimates the stiff convergent ...
M. Torfeh-Isfahani, E. Della Torre
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