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On the numerical solution of the one-dimensional Schrödinger equation
(IOP Publishing, 2016-04)
We discuss two sources of error in the numerical calculation of eigenvalues and eigenfunctions of the one-dimensional Schrödinger equation. By means of suitable examples we analyse the effect of both a finite mesh size and ...
A Higher order and stable method for the numerical integration of Random Differential Equations
(EMAp - Escola de Matemática Aplicada, 2014-11)
Over the last few years there has been a growing and renovated interest in the numerical study of Random Differential Equations (RDEs). On one hand it is motivated by the fact that RDEs have played an important role in the ...
An Implementation of the Longman's Integration Method on Graphics Hardware
(Tech Science PressNorcrossEUA, 2009)
Convergence Criterium of Numerical Chaotic Solutions Based on Statistical Measures
(Scientific Research Publishing, 2011-04)
Solutions of most nonlinear differential equations have to be obtained numerically. The time series obtained by numerical integration will be a solution of the differential equation only if it is independent of the integration ...
Integration Methods Used in Numerical Simulations of Electromagnetic Transients
(Institute of Electrical and Electronics Engineers (IEEE), 2011-12-01)
This paper made an analysis of some numerical integration methods that can be used in electromagnetic transient simulations. Among the existing methods, we analyzed the trapezoidal integration method (or Heun formula), ...
Integration Methods Used in Numerical Simulations of Electromagnetic Transients
(Institute of Electrical and Electronics Engineers (IEEE), 2011-12-01)
This paper made an analysis of some numerical integration methods that can be used in electromagnetic transient simulations. Among the existing methods, we analyzed the trapezoidal integration method (or Heun formula), ...
Numerical and analytical tests of quasi-integrability in modified sine-Gordon models
(SpringerHeidelberg, 2014-01)
Following our attempts to define quasi-integrability in which we related this concept to a particular symmetry of the two-soliton function we check this condition in three classes of modified sine-Gordon models in (1+1) ...