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 Theodore E Simos

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Average citations per article1.92
Citation Count167
Publication count87
Publication years1990-2017
Available for download1
Average downloads per article297.00
Downloads (cumulative)297
Downloads (12 Months)18
Downloads (6 Weeks)3
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86 results found Export Results: bibtexendnoteacmrefcsv

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1
September 2016 Journal of Computational and Applied Mathematics: Volume 303 Issue C, September 2016
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 0

The construction of trigonometrically fitted two step hybrid methods for the numerical solution of second-order initial value problems is considered. These methods are suitable for the numerical integration of problems with periodic or oscillatory behavior of the solution and have variable coefficients depending on the frequency of each problem. The ...
Keywords: Special second-order initial-value problems, Trigonometrically fitted methods, Modified two step hybrid methods

2
August 2016 Numerical Algorithms: Volume 72 Issue 4, August 2016
Publisher: Springer-Verlag New York, Inc.
Bibliometrics:
Citation Count: 0

A new optimized two-step hybrid block method for the numerical integration of general second-order initial value problems is presented. The method considers two intra-step points which are selected adequately in order to optimize the local truncation errors of the main formulas for the solution and the derivative at the final ...
Keywords: Hybrid block method, Optimization criterium, General second-order initial-value problem, Intra-step nodal points, MSC 65L05

3
October 2012 Journal of Computational and Applied Mathematics: Volume 236 Issue 16, October, 2012
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 1

In this article, we develop an explicit symmetric linear phase-fitted four-step method with a free coefficient as parameter. The parameter is used for the optimization of the method in order to solve efficiently the Schrodinger equation and related oscillatory problems. We evaluate the local truncation error and the interval of ...
Keywords: 65L05, Symmetric linear multistep methods, Finite difference methods, Numerical solution, Phase fitting, 65L06, Ordinary differential equations, Schrödinger equation

4
November 2011 Computers & Mathematics with Applications: Volume 62 Issue 10, November, 2011
Publisher: Pergamon Press, Inc.
Bibliometrics:
Citation Count: 0

Many simulation algorithms (chemical reaction systems, differential systems arising from the modelling of transient behaviour in the process industries etc.) contain the numerical solution of systems of differential equations. For the efficient solution of the above mentioned problems, linear multistep methods or Runge-Kutta single-step methods are used. For the simulation ...
Keywords: Derivatives of the phase-lag, Hybrid methods, Interval of periodicity, Numerical solution of the Schrödinger equation, Phase-lag, Phase-fitted

5
June 2011 Computers & Mathematics with Applications: Volume 61 Issue 11, June, 2011
Publisher: Pergamon Press, Inc.
Bibliometrics:
Citation Count: 4

An explicit optimized Runge-Kutta-Nystrom method with four stages and fifth algebraic order is developed. The produced method has variable coefficients with zero phase-lag, zero amplification factor and zero first derivative of the amplification factor. We provide an analysis of the local truncation error of the new method. We also measure ...
Keywords: Runge-Kutta-Nyström methods, Explicit methods, Initial value problems, Amplification factor, Numerical solution, Phase-lag

6
September 2010 Computers & Mathematics with Applications: Volume 60 Issue 6, September, 2010
Publisher: Pergamon Press, Inc.
Bibliometrics:
Citation Count: 2

In this work we construct new Runge-Kutta-Nystrom methods especially designed to integrate exactly the test equation y^''=-w^2y. We modify two existing methods: the Runge-Kutta-Nystrom methods of fifth and sixth order. We apply the new methods to the computation of the eigenvalues of the Schrodinger equation with different potentials such as ...
Keywords: Exponential fitting, Runge-Kutta-Nyström methods, Schrödinger equation

7
February 2010 Mathematical and Computer Modelling: An International Journal: Volume 51 Issue 3-4, February, 2010
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 0


8 published by ACM
January 2010 ACM Transactions on Mathematical Software (TOMS): Volume 37 Issue 1, January 2010
Publisher: ACM
Bibliometrics:
Citation Count: 1
Downloads (6 Weeks): 3,   Downloads (12 Months): 18,   Downloads (Overall): 297

Full text available: PDFPDF
LMEF is a program written in MATLAB, to calculate the coefficients of a linear multi-step method (explicit, implicit or backward differentiation formulas) with algebraic and/or exponential fitting, for the numerical solution of first order ordinary differential equations. Moreover, LMEF calculates the local truncation error and in the case of exponential ...
Keywords: Linear multistep methods, backward differentiation formulas, exponential fitting

9
October 2009 Applied Numerical Mathematics: Volume 59 Issue 10, October, 2009
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 6

We elaborate on a nonlinear explicit two-step P-stable method of fourth algebraic order and varying phase-lag order for solving one-dimensional second-order linear periodic initial value problems (IVPs) of ordinary differential equations. Using special vector arithmetic with respect to an analytic function, the method can be extended to be vector applicable ...
Keywords: Second-order linear initial value problem, P-stability, Phase-lag order, Vector product and quotient

10
September 2009
Bibliometrics:
Citation Count: 0

The aim of ICCMSE 2008 is to bring together computational scientists and engineers from several disciplines in order to share methods, methodologies and ideas. The potential readers are all the scientists with interest in: Computational Mathematics, Theoretical Physics, Computational Physics, Theoretical Chemistry, Computational Chemistry, Mathematical Chemistry, Computational Engineering, Computational Mechanics, ...

11
April 2009
Bibliometrics:
Citation Count: 0

The aim of ICCMSE 2008 is to bring together computational scientists and engineers from several disciplines in order to share methods, methodologies and ideas. The potential readers are all the scientists with interest in: Computational Mathematics, Theoretical Physics, Computational Physics, Theoretical Chemistry, Computational Chemistry, Mathematical Chemistry, Computational Engineering, Computational Mechanics, ...

12
December 2008
Bibliometrics:
Citation Count: 0

The aim of IeCCS 2007 is to bring together leading scientists of the international Computer Science community and to attract original research papers of very high quality. The topics to be covered include (but are not limited to): Numerical Analysis, Scientific Computation, Computational Mathematics, Mathematical Software, Programming Techniques and Languages, ...

13
September 2008
Bibliometrics:
Citation Count: 0

All papers have been peer-reviewed. The aim of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2008) is to bring together leading scientists of the international Numerical & Applied Mathematics community and to attract original research papers of very high quality. The topics to be covered include (but ...

14
December 2007
Bibliometrics:
Citation Count: 0

All papers have been peer-reviewed. The aim of ICCMSE 2007 is to bring together computational scientists and engineers from several disciplines in order to share methods, methodologies and ideas. The potential readers of these proceedings are all the scientists with interest in the following fields: Computational Mathematics, Theoretical Physics, Computational ...

15
October 2007
Bibliometrics:
Citation Count: 0

The aim of IeCCS 2006, which was held in from 28 June to 8 July 2006, was to bring together leading scientists of the international Computer Science community and to attract original research papers. This volume in the Lecture Series on Computer and Computational Sciences contains the extended abstracts of ...

16
September 2007
Bibliometrics:
Citation Count: 0

All papers have been peer-reviewed. The International Conference on Numerical Analysis and Applied Mathematics 2007 (ICNAAM-2007) has been scheduled to take place at Hotel Marbella in Corfu between 16th and 20th September 2007. The aim of the conference is to bring together leading scientists of the international Numerical and Applied ...

17
July 2007 Mathematical and Computer Modelling: An International Journal: Volume 46 Issue 1-2, July, 2007
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 0


18
July 2006 Journal of Computational and Applied Mathematics - Special issue: The international conference on computational methods in sciences and engineering 2004: Volume 191 Issue 2, July 2006
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 0


19

20
October 2005 Mathematical and Computer Modelling: An International Journal: Volume 42 Issue 7-8, October, 2005
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 1

Two trigonometrically fitted methods based on a classical Runge-Kutta method of Kutta-Nystrom are being constructed. The new methods maintain the fifth algebraic order of the classical one but also have some other significant properties. The most important one is that in the local truncation error of the new methods the ...
Keywords: Explicit Runge-Kutta methods, Radial Schrödinger equation, Energy, Resonance problem, Exponential fitting, Trigonometrical fitting



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