Results 31 to 40 of about 82,462 (247)

Runge–Kutta methods and renormalization [PDF]

The European Physical Journal C, 2000
A connection between the algebra of rooted trees used in renormalization theory and Runge-Kutta methods is pointed out. Butcher's group and B-series are shown to provide a suitable framework for renormalizing a toy model of field the ory, following Kreimer's approach.
openaire   +2 more sources

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, J. E. Guerra, F. P. Hamon, D. R. Reynolds, P. A. Ullrich, C. S. Woodward   +5 more
doaj   +1 more source

On modified Runge–Kutta trees and methods

Computers & Mathematics with Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Charalampos Tsitouras, Ioannis Th. Famelis, T. E. Simos   +2 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.
openaire   +2 more sources

Implicit and Implicit-Explicit Strong Stability Preserving Runge-Kutta Methods with High Linear Order

, 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, Gottlieb, Sigal, Grant, Zachary J., Shadid, John N.   +3 more
core   +1 more source

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, Gavrilenko, I, Lund, E, Strandlie, A   +3 more
core   +1 more source

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., Sármány, D., Vegt, J.J.W. van der   +2 more
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Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations

, 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, Ketcheson, David I., Parsani, Matteo, Ranocha, Hendrik, Sayyari, Mohammed   +4 more
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Dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations

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
doaj   +1 more source

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, Ismail, Fudziah, Rabiei, Faranak   +2 more
core   +1 more source