Results 21 to 30 of about 11,022,643 (271)
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.
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On Adaptive Patankar Runge–Kutta methods [PDF]
PAMM, 2021 AbstractWe apply Patankar Runge–Kutta methods to y′ = M(y)y and focus on the case where M(y) is a graph Laplacian as the resulting scheme will preserve positivity and total mass. The second order Patankar Heun method is tested using four test problems (stiff and non‐stiff) cast into this form.
Kopecz, Stefan +2 more
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Zero-dissipative explicit Runge-Kutta method for periodic initial value problems [PDF]
, 2014 In this paper zero-dissipative explicit Runge-Kutta method is derived for solving second-order ordinary differential equations with periodical solutions. The phase-lag and dissipation properties for Runge-Kutta (RK) method are also discussed.
Senu, Norazak +3 more
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Practical guidance on the application of R-K integration method in finite element analysis of creep damage problem [PDF]
A practical user guidance of Runge-Kutta (R-K) integration method with the context of non-linear time dependent finite element analysis (FEA) was proposed in this paper.
Tan, Feng +3 more
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Low storage explicit Runge-Kutta method
Semina: Ciências Exatas e Tecnológicas, 2019 This paper we are dealing with the high order accurate low storage explicit Runge Kutta (LSERK) methods which mainly are used for temporal discretization and are stable regardless of its accuracy.
Diomar Cesar Lobão
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Vietnam Journal of Mechanics, 2021 Zhang and Shimizu (1998) proposed a numerical algorithm based on Newmark method to calculate the dynamic response of mechanical systems involving fractional derivatives.
Nguyen Van Khang +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.
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Efficient explicit time integration for the simulation of acoustic and electromagnetic waves [PDF]
, 2015 The efficient and accurate numerical simulation of time-dependent wave phenomena is of fundamental importance in acoustic, electromagnetic or seismic wave propagation.
Mehlin, Michaela
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A class of implicit-explicit two-step Runge-Kutta methods [PDF]
, 2012 This work develops implicit-explicit time integrators based on two-step Runge-Kutta methods. The class of schemes of interest is characterized by linear invariant preservation and high stage orders.
Zharovski, Evgeniy, Sandu, Adrian
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Modification of Fourth order Runge-Kutta Method for Kutta Form With Geometric Means
Kubik, 2020 This paper discuss how to modified Fourth order Runge-Kutta Kutta method based on the geometric mean. Then we have parameters and however by re-comparing the Taylor series expansion of and up to the 4th order. For make error term re-compering
Irma Suryani +3 more
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