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The stiff proximal interphalangeal joint – an unsolved problem?
Journal of Hand Surgery (European Volume), 2023The 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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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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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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A Problem-Dependent Formula of Damping for Stiff Problems
International Journal of Computational MethodsA matrix coefficient formula of damping is developed to solve stiff problems. This is a matrix coefficient formula that has L-stability, explicitness and 2nd-order accuracy. It possesses damping to suppress or eliminate the negligible stiff components of the problems under analysis.
Chiu-Li Huang +2 more
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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 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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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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(2,1)-Method for solving stiff nonautonomous problems
Automation and Remote Control, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Typical problems for stiff differential equations
ACM SIGNUM Newsletter, 1975The solution of stiff differential equations has become a very active area in recent years. To have some idea as to the wishes of practitioners would be of obvious value to researchers developing new tools, to software designers producing new codes, and to those evaluating the codes available at present.
M. K. Gordon, L. F. Shampine
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