Author image not provided
 Luis Rández

Authors:
Add personal information
  Affiliation history
Bibliometrics: publication history
Average citations per article0.69
Citation Count9
Publication count13
Publication years1992-2017
Available for download1
Average downloads per article125.00
Downloads (cumulative)125
Downloads (12 Months)112
Downloads (6 Weeks)10
SEARCH
ROLE
Arrow RightAuthor only


AUTHOR'S COLLEAGUES
See all colleagues of this author




BOOKMARK & SHARE


13 results found Export Results: bibtexendnoteacmrefcsv

Result 1 – 13 of 13
Sort by:

1
January 2017 Journal of Computational Physics: Volume 328 Issue C, January 2017
Publisher: Academic Press Professional, Inc.
Bibliometrics:
Citation Count: 0

The application of pseudo-symplectic Runge-Kutta methods to the incompressible Navier-Stokes equations is discussed in this work. In contrast to fully energy-conserving, implicit methods, these are explicit schemes of order p that preserve kinetic energy to order q, with q p . Use of explicit methods with improved energy-conservation properties is ...
Keywords: Runge-Kutta method, Energy conservation, Pseudo-symplecticity, Incompressible Navier-Stokes equations, Turbulence simulations

2 published by ACM
December 2016 ACM Transactions on Mathematical Software (TOMS): Volume 43 Issue 3, January 2017
Publisher: ACM
Bibliometrics:
Citation Count: 0
Downloads (6 Weeks): 10,   Downloads (12 Months): 112,   Downloads (Overall): 125

Full text available: PDFPDF
In this article, an adaptive Runge-Kutta code, based on the DOPRI5(4) pair for solving initial value problems (IVPs) for differential systems with piecewise smooth solutions (PWS) is presented and the algorithms used in the code are described. The code automatically detects and locates accurately the switching points of the PWS, ...
Keywords: Nonsmooth initial value problems, Filippov systems, detection of discontinuities, adaptive Runge-Kutta methods

3
January 2016 Applied Mathematics and Computation: Volume 273 Issue C, January 2016
Publisher: Elsevier Science Inc.
Bibliometrics:
Citation Count: 0

The construction of exponentially fitted (EF) two-step hybrid methods for the numerical integration of oscillatory second-order IVPs is analyzed. These methods integrate exactly differential systems whose solutions can be expressed as linear combinations of the set of functions { exp ( λ t ) , exp ( - λ t ...
Keywords: 65L05, Oscillatory second-order IVPs, Exponential fitting, Two-step hybrid methods, 65L06

4
September 2015 Journal of Scientific Computing: Volume 64 Issue 3, September 2015
Publisher: Plenum Press
Bibliometrics:
Citation Count: 0

In this paper we study functionally fitted methods based on explicit two step peer formulas. We show that with $$s$$s stages it is possible to get explicit fitted methods for fitting spaces of high dimension $$2s$$2s, by proving the existence and uniqueness of such formulas. Then, we obtain particular methods ...
Keywords: 65L99, Peer methods, 65L07, 65L05, Periodic problems, Exponential fitting

5
February 2015 Advances in Computational Mathematics: Volume 41 Issue 1, February 2015
Publisher: Springer-Verlag New York, Inc.
Bibliometrics:
Citation Count: 0

In this paper new one-step methods that combine Runge---Kutta (RK) formulae with a suitable projection after the step are proposed for the numerical solution of Initial Value Problems. The aim of this projection is to preserve some first integral in the numerical integration. In contrast with standard orthogonal projection, the ...
Keywords: 65L06, Dispersion error, Numerical geometric integration, 65L05, Initial value problems, Projection methods, Explicit Runge---Kutta methods

6
February 2015 Applied Mathematics and Computation: Volume 252 Issue C, February 2015
Publisher: Elsevier Science Inc.
Bibliometrics:
Citation Count: 0

The construction of new embedded pairs of explicit Runge-Kutta methods specially adapted to the numerical solution of oscillatory problems is analyzed. Based on the order conditions for this class of methods, two new embedded pairs of orders 4(3) and 6(4) which require five and seven stages per step, respectively, are ...
Keywords: Adapted Runge-Kutta methods, Embedded pairs, Oscillatory problems

7
October 2012 Journal of Computational and Applied Mathematics: Volume 236 Issue 16, October, 2012
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 3

We present and analyze energy-conserving methods for the numerical integration of IVPs of Poisson type that are able to preserve some Casimirs. Their derivation and analysis is done following the ideas of Hamiltonian BVMs (HBVMs) (see Brugnano et al. [10] and references therein). It is seen that the proposed approach ...
Keywords: 65P10, Energy-preserving methods, Hamiltonian boundary value methods, Line integral methods, One-step methods, Ordinary differential equations, Poisson problems, 65L05

8
September 2012 Journal of Computational and Applied Mathematics: Volume 236 Issue 15, September, 2012
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 1

In this paper, explicit Runge-Kutta (RK) schemes with minimum storage requirements for systems with very large dimension that arise in the spatial discretization of some partial differential equations are considered. A complete study of all four stage fourth-order schemes of the minimum storage families of Williamson (1980) 2], van der ...
Keywords: Initial value problems, Low storage implementations, Runge-Kutta schemes

9
August 2011 Mathematics and Computers in Simulation: Volume 81 Issue 12, August, 2011
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 3

This paper is concerned with the long term behaviour of the error generated by one step methods in the numerical integration of periodic flows. Assuming numerical methods where the global error possesses an asymptotic expansion and a periodic flow with the period depending smoothly on the starting point, some conditions ...
Keywords: Invariant preservation, Runge-Kutta methods, Geometric integration, Long-time integration

10
April 2011 Applied Numerical Mathematics: Volume 61 Issue 4, April, 2011
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 1

The so-called two-step peer methods for the numerical solution of Initial Value Problems (IVP) in differential systems were introduced by R. Weiner, B.A. Schmitt and coworkers as a tool to solve different types of IVPs either in sequential or parallel computers. These methods combine the advantages of Runge-Kutta (RK) and ...
Keywords: Two-step methods, IVP, Peer methods, Stability

11
June 2010 Journal of Computational and Applied Mathematics: Volume 234 Issue 3, June, 2010
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 1

Two new embedded pairs of exponentially fitted explicit Runge-Kutta methods with four and five stages for the numerical integration of initial value problems with oscillatory or periodic solutions are developed. In these methods, for a given fixed @w the coefficients of the formulae of the pair are selected so that ...
Keywords: Exponential fitting, Oscillatory IVPs, Runge-Kutta methods, 65L06

12
July 1993 SIAM Journal on Scientific Computing: Volume 14 Issue 4, July 1993
Publisher: Society for Industrial and Applied Mathematics
Bibliometrics:
Citation Count: 0

Keywords: Runge-Kutta methods, boundary value problems, shooting methods

13
February 1992 Journal of Computational and Applied Mathematics: Volume 39 Issue 1, Feb. 28, 1992
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 0

Keywords: ordinary differential equations, Runge-Kutta methods, variational equation



The ACM Digital Library is published by the Association for Computing Machinery. Copyright © 2018 ACM, Inc.
Terms of Usage   Privacy Policy   Code of Ethics   Contact Us