[HTML][HTML] The optimal exponentially-fitted Numerov method for solving two-point boundary value problems

D Hollevoet, M Van Daele, GV Berghe - Journal of computational and …, 2009 - Elsevier
… solved by means of exponentially-fitted Numerov methods. These methods, which depend
on … Special attention is paid to the expression of the error term of such methods. An algorithm …

Application of exponential fitting techniques to numerical methods for solving differential equations

D Hollevoet - 2013 - biblio.ugent.be
… look at Numerov's method and exponentially fitted variants … methods for solving such
problems. In this chapter, we will consider the application of exponentially fitted Numerov methods

[PDF][PDF] Exponentially Fitted Method For The Numerical Integration

TE Simos - Helv. Phys. Acta, 1999 - scholar.archive.org
… A new predictor-corrector exponentially fitted Numerov-type method is developed for the
numerical integration of the radial Schrödinger equation and of coupled differential equations …

[HTML][HTML] Exponentially-fitted Numerov methods

GV Berghe, M Van Daele - Journal of computational and applied …, 2007 - Elsevier
… of the so-called exponentially-fitted (EF) Numerov methods derived and discussed in several
… two EF Numerov methods which have not yet been applied to Sturm–Liouville methods of …

Computer algebra programmes for the construction of a family of Numerov-type exponentially-fitted methods for the numerical solution of the Schrödinger equation

TE Simos, PS Williams - Computers & chemistry, 1998 - Elsevier
… These new fourth algebraic order methods are very simple and integrate more … order
Numerov-type exponentially-fitted methods and the sixth algebraic order Runge–Kutta type methods

A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions

Y Fang, X Wu - Applied Numerical Mathematics, 2008 - Elsevier
… an explicit exponentially fitted explicit Runge– Kutta method which … exponentially fitted
Runge–Kutta–Nyström methods as well as pairs of embedded Runge–Kutta–Nyström methods

A fitted Numerov method for singularly perturbed parabolic partial differential equation with a small negative shift arising in control theory

RN Rao, PP Chakravarthy - … Mathematics: Theory, Methods and …, 2014 - cambridge.org
technique is developed. Bashier and Patidar [20] developed a robust fitted operator finite
difference method … In this paper, we presented exponentially fitted finite difference methods for …

A new family of exponentially fitted methods

PS Williams, TE Simos - Mathematical and computer modelling, 2003 - Elsevier
methods. Raptis and Allison [2] have derived a Numerov type exponentially fitted method. …
that these fitted methods are much more efficient than Numerov’s method for the solution of (1)…

P-stable Four-Step Exponentially-Fitted Method for the Numerical Integration of the Schr¨ odinger Equation

TE Simos - Computing Letters, 2004 - brill.com
methods of the second category. More specifically we will obtain an exponentially-fitted
method of … • the exponentially-fitted method of Numerov type developed by Ixaru and Rizea [10] …

Effective Numerical Approximation of Schrödinger type Equations through Multiderivative Exponentiallyfitted Schemes

G Psihoyios, TE Simos - Applied Numerical Analysis & …, 2004 - Wiley Online Library
exponentially-fitted multiderivative method is developed for the numerical integration of the
Schrödinger equation. We call the methodNumerov method and the Numerov-type methods