Strong Stability Preserving Multistage Integration Methods
Mathematical Modelling and Analysis, 2015 In this paper we systematically investigate explicit strong stability preserving (SSP) multistage integration methods, a subclass of general linear methods (GLMs), of order p and stage order q ≤ p.
Giuseppe Izzo, Zdzislaw Jackiewicz
doaj +7 more sources
On the stability of strong-stability-preserving modified Patankar–Runge–Kutta schemes [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2023 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 Huang and Shu [J. Sci. Comput. 78 (2019) 1811–1839] and Huang et al. [J. Sci. Comput.
Juntao Huang +4 more
core +7 more sources
Strong Stability Preserving Runge-Kutta Methods Applied to Water Hammer Problem
Trends in Computational and Applied Mathematics, 2022 The characteristic method of lines is the most used numerical method applied to the water hammer problem. It transforms a system of partial differential equations involving the independent variables time and space in two ordinary differential equations ...
D. F. G. Santiago +3 more
doaj +3 more sources
Strong Stability Preserving Two-Derivative Two-Step Runge-Kutta Methods
MathematicsIn this study, we introduce the explicit strong stability preserving (SSP) two-derivative two-step Runge-Kutta (TDTSRK) methods. We propose the order conditions using Albrecht’s approach, comparing to the order conditions expressed in terms of rooted ...
Xueyu Qin, Zhenhua Jiang, Chao Yan
doaj +2 more sources
Dense output for strong stability preserving Runge–Kutta methods [PDF]
Journal of Scientific Computing, 2017 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 as the method itself.
David I. Ketcheson +3 more
+8 more sources
Strong-stability-preserving additive linear multistep methods [PDF]
Mathematics of Computation, 2017 23 pages, 3 ...
Yiannis Hadjimichael, David I. Ketcheson
openalex +5 more sources
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 ...
Inmaculada Higueras +3 more
openalex +5 more sources
Strong Stability Preserving Integrating Factor Two-step Runge--Kutta\n Methods [PDF]
Journal of Scientific Computing, 2019 Problems that feature significantly different time scales, where the stiff time-step restriction comes from a linear component, implicit-explicit (IMEX) methods alleviate this restriction if the concern is linear stability. However, where the SSP property is needed, IMEX SSP Runge-Kutta (SSP-IMEX) methods have very restrictive time-steps.
Leah Isherwood +2 more
openalex +4 more sources
Paradoxical G-quadruplex distribution in coronavirus genomes reveals functional constraints and antiviral therapeutic opportunities [PDF]
Virus ResearchWe computationally characterized G-quadruplex (G4) distributions across 31 coronavirus genomes to identify conserved structural features as potential antiviral therapeutic targets.
Masato Tanigawa, Takafumi Iwaki
doaj +2 more sources
Mechanistic Insights into AAV Capsid–Stationary Phase Interactions Governing Native Stability and Chromatographic Separation Using AAV8 as a Model System [PDF]
PharmaceuticsBackground/Objectives: Adeno-associated viruses (AAVs) are widely used gene therapy vectors; yet their physicochemical stability and chromatographic behavior are highly sensitive to the solution conditions they are in.
Timotej Žvanut +3 more
doaj +2 more sources