Results 31 to 40 of about 81,957 (247)
Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models [PDF]
Geoscientific Model Development, 2018 The efficient simulation of non-hydrostatic atmospheric dynamics requires time integration methods capable of overcoming the explicit stability constraints on time step size arising from acoustic waves.
D. J. Gardner +5 more
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Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisations of the Maxwell equations [PDF]
, 2007 Different time-stepping methods for a nodal high-order discontinuous Galerkin discretisation of the Maxwell equations are discussed. A comparison between the most popular choices of Runge-Kutta (RK) methods is made from the point of view of accuracy and ...
Botchev, M.A. +2 more
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Track parameter propagation through the application of a new adaptive Runge-Kutta-Nystrom method in the ATLAS experiment [PDF]
, 2008 In this paper we study several fixed step and adaptive Runge-Kutta methods suitable for transporting track parameters through an inhomogeneous magnetic field.
Bugge, L +3 more
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Semiexplicit 𝐴-stable Runge-Kutta methods [PDF]
Mathematics of Computation, 1979 An s − 1 s - 1 stage semiexplicit Runge-Kutta method is represented by an s × s s \times s real lower triangular matrix where the number of implicit stages is given by the number of nonzero diagonal elements. It is shown that the maximum order attainable is s when
Cooper, G. J., Sayfy, A.
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Advances in Difference Equations, 2017 This paper is concerned with the dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations (FIDEs). The dissipativity results of Runge-Kutta methods for the FIDEs are given.
Qing Liao, Liping Wen
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, 2017 When evolving in time the solution of a hyperbolic partial differential equation, it is often desirable to use high order strong stability preserving (SSP) time discretizations. These time discretizations preserve the monotonicity properties satisfied by
Conde, Sidafa +3 more
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Composite group of explicit Runge-Kutta methods [PDF]
, 2016 In this paper,the composite groups of Runge-Kutta (RK) method are proposed. The composite group of RK method of third and second order, RK3(2) and fourth and third order RK4(3) base on classical Runge-Kutta method are derived.
Abd Hamid, Fatin Nadiah +2 more
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A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes
The Astrophysical Journal, 2022 In recent publications, the construction of explicit symplectic integrators for Schwarzschild- and Kerr-type spacetimes is based on splitting and composition methods for numerical integrations of Hamiltonians or time-transformed Hamiltonians associated ...
Naying Zhou +3 more
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, 2019 The framework of inner product norm preserving relaxation Runge-Kutta methods (David I. Ketcheson, \emph{Relaxation Runge-Kutta Methods: Conservation and Stability for Inner-Product Norms}, SIAM Journal on Numerical Analysis, 2019) is extended to general
Dalcin, Lisandro +4 more
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Practical symplectic partitioned Runge–Kutta and Runge–Kutta–Nyström methods
Journal of Computational and Applied Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Blanes, S., Moan, P. C.
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