[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 …
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 …
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 …
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 …
… 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…
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 …
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 …
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)…
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] …
method of … • the exponentially-fitted method of Numerov type developed by Ixaru and Rizea [10] …
Effective Numerical Approximation of Schrödinger type Equations through Multiderivative Exponentially‐fitted 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 method … Numerov method and the Numerov-type methods …
Schrödinger equation. We call the method … Numerov method and the Numerov-type methods …
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