Results 11 to 20 of about 10,261,192 (285)
Mathematical Modelling and Analysis, 2016 In this paper, we consider a nonlinear multi-stage dynamic system to characterize batch culture. We construct corresponding linear variational system for the solution to the multi-stage system, also prove the boundedness of fundamental matrix solutions ...
Jinxing Zhang +4 more
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Strong Stability Preserving Integrating Factor Runge--Kutta Methods [PDF]
SIAM Journal on Numerical Analysis, 2018 Strong stability preserving (SSP) Runge-Kutta methods are often desired when evolving in time problems that have two components that have very different time scales. Where the SSP property is needed, it has been shown that implicit and implicit-explicit methods have very restrictive time-steps and are therefore not efficient.
Isherwood, Leah +2 more
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On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2022 In this paper, we perform a stability analysis for classes of second and third order accurate strong-stability-preserving modified Patankar–Runge–Kutta (SSPMPRK) schemes, which were introduced in [9, 10] and can be used to solve convection equations with
Juntao Huang +4 more
semanticscholar +1 more source
High Order Strong Stability Preserving MultiDerivative Implicit and IMEX Runge-Kutta Methods with Asymptotic Preserving Properties [PDF]
SIAM Journal on Numerical Analysis, 2021 In this work we present a class of high order unconditionally strong stability preserving (SSP) implicit multi-derivative Runge--Kutta schemes, and SSP implicit-explicit (IMEX) multi-derivative Runge--Kutta schemes where the time-step restriction is ...
S. Gottlieb +3 more
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Optimized strong stability preserving IMEX Runge–Kutta methods
Journal of Computational and Applied Mathematics, 2014 Esta es la versión no revisada del artículo: Inmaculada Higueras, Natalie Happenhofer, Othmar Koch, and Friedrich Kupka. 2014. Optimized strong stability preserving IMEX Runge-Kutta methods. J. Comput. Appl. Math. 272 (December 2014), 116-140. Se puede consultar la versión final en https://doi.org/10.1016/j.cam.2014.05.011 We construct and analyze ...
Higueras Sanz, Inmaculada +3 more
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Strong Stability Preserving Runge–Kutta and Linear Multistep Methods
Bulletin of the Iranian Mathematical Society, 2022 This paper reviews strong stability preserving discrete variable methods for differential systems. The strong stability preserving Runge–Kutta methods have been usually investigated in the literature on the subject, using the so-called Shu–Osher ...
G. Izzo, Z. Jackiewicz
semanticscholar +1 more source
The strong formulation finite element method: stability and accuracy [PDF]
Fracture and Structural Integrity, 2014 The Strong Formulation Finite Element Method (SFEM) is a numerical solution technique for solving arbitrarily shaped structural systems. This method uses a hybrid scheme given by the Differential Quadrature Method (DQM) and the Finite Element Method ...
Francesco Tornabene +2 more
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Strong K-stability and Asymptotic Chow-stability [PDF]
, 2015 For a polarized algebraic manifold $(X,L)$, let $T$ be an algebraic torus in the group of all holomorphic automorphisms of $X$. Then strong relative K-stability will be shown to imply asymptotic relative Chow-stability. In particular, by taking $T$ to be trivial, we see that asymptotic Chow-stability follows from strong K-stability.
Mabuchi, Toshiki, Nitta, Yasufumi
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Strong Stability of Explicit Runge-Kutta Time Discretizations [PDF]
SIAM Journal on Numerical Analysis, 2018 Motivated by studies on fully discrete numerical schemes for linear hyperbolic conservation laws, we present a framework on analyzing the strong stability of explicit Runge--Kutta (RK) time discret...
Zheng Sun, Chi-Wang Shu
semanticscholar +1 more source
Strong nutrient-plant interactions enhance the stability of ecosystems
Communications Biology, 2021 Schonberger et al. combine nutrient-plant interactions and consumer-resource interactions into simulation models, and explore how the strength of these interactions affects ecosystem stability across several types of trophic modules.
Zachariah G. Schonberger +2 more
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