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Optimal implicit strong stability preserving Runge–Kutta methods
Applied Numerical Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ketcheson, D, Macdonald, C, Gottlieb, S
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Ain Shams Engineering Journal, 2018 The present article is concerned with the implementation of the compact finite difference scheme, in the space and the optimal four-stage, order three strong stability-preserving time-stepping Runge-Kutta (SSP-RK43) scheme, in time for computation of one
Brajesh Kumar Singh +2 more
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, 2015 The paper develops high-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamical (RHD) equations, built on the local Lax-Friedrich splitting, the WENO reconstruction, the physical-constraints ...
Tang, Huazhong, Wu, Kailiang
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Highly efficient strong stability preserving Runge-Kutta methods with Low-Storage Implementations [PDF]
, 2008 Strong stability-preserving (SSP) Runge–Kutta methods were developed for time integration of semidiscretizations of partial differential equations. SSP methods preserve stability properties satisfied by forward Euler time integration, under a modified ...
Ketcheson, David I.
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Explicit strong stability preserving multistep Runge–Kutta methods
Mathematics of Computation, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bresten, Christopher +5 more
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Numerical integration of the contravariant integral form of the Navier–Stokes equations in time-dependent curvilinear coordinate systems for three-dimensional free surface flows [PDF]
, 2019 We propose a three-dimensional non-hydrostatic shock-capturing numerical model for the simulation of wave propagation, transformation and breaking, which is based on an original integral formulation of the contravariant Navier–Stokes equations, devoid of
chiara Petrelli +3 more
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A novel approach for numerical computation of Burgers’ equation in (1 + 1) and (2 + 1) dimensions
Alexandria Engineering Journal, 2016 This paper proposes a new scheme termed as modified extended cubic B-Spline differential quadrature (mECDQ) method for time dependent partial differential equations.
Brajesh Kumar Singh, Pramod Kumar
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Optimal monotonicity-preserving perturbations of a given Runge-Kutta method [PDF]
, 2018 Perturbed Runge--Kutta methods (also referred to as downwind Runge--Kutta methods) can guarantee monotonicity preservation under larger step sizes relative to their traditional Runge--Kutta counterparts.
Higueras, Inmaculada +2 more
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FEBS Letters, EarlyView.This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
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Flux Splitting for stiff equations: A notion on stability
, 2014 For low Mach number flows, there is a strong recent interest in the development and analysis of IMEX (implicit/explicit) schemes, which rely on a splitting of the convective flux into stiff and nonstiff parts.
Noelle, Sebastian, Schütz, Jochen
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