Dense Output for Strong Stability Preserving Runge–Kutta Methods
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-016-0331-5
Abstract: We investigate dense output formulae (also known as continuous extensions) for strong stability preserving (SSP) Runge–Kutta methods. We require that the dense output formula also possess the SSP property, ideally under the same step-size restriction… read more here.
Keywords: output formulae; dense; dense output; stability preserving ... See more keywords
Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part
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DOI: 10.1007/s11075-018-0647-3
Abstract: For many systems of differential equations modeling problems in science and engineering, there are often natural splittings of the right hand side into two parts, one of which is non-stiff or mildly stiff, and the… read more here.
Keywords: part; explicit part; implicit explicit; stability preserving ... See more keywords
Strong stability preserving second derivative diagonally implicit multistage integration methods
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DOI: 10.1016/j.apnum.2019.11.001
Abstract: Abstract Construction of strong stability preserving second derivative diagonally implicit multistage integration methods (SDIMSIMs) as a subclass of second derivative general linear methods (SGLMs) with and without quadratic stability (QS) has been investigated. Examples of… read more here.
Keywords: preserving second; stability preserving; second derivative; stability ... See more keywords
Development of Frequency Weighted Model Order Reduction Techniques for Discrete-Time One-Dimensional and Two-Dimensional Linear Systems with Error Bounds
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DOI: 10.1109/access.2022.3146394
Abstract: Enns’ frequency weighted model reduction method yields an unstable reduced model. Many stability-preserving techniques for one-dimensional and two-dimensional reduced-order systems have been demonstrated; however, these methods produce significant truncation errors. This article presents a frequency… read more here.
Keywords: frequency; stability preserving; weighted model; order ... See more keywords