New insights in the development of Numerov-type methods with minimal phase-lag for the numerical solution of the Schrödinger equation

Computers & Chemistry ◽

10.1016/s0097-8485(00)00090-5 ◽

2001 ◽

Vol 25 (1) ◽

pp. 77-82 ◽

Author(s):

T.E. Simos ◽

P.S. Williams

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Phase Lag ◽

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A new finite difference scheme with minimal phase-lag for the numerical solution of the Schrödinger equation

Applied Mathematics and Computation ◽

10.1016/s0096-3003(98)10127-3 ◽

1999 ◽

Vol 106 (2-3) ◽

pp. 245-264 ◽

Author(s):

T.E. Simos

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Numerical Solution ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

Phase Lag ◽

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An explicit eighth order method with minimal phase-lag for the numerical solution of the Schrödinger equation

Computational Materials Science ◽

10.1016/s0927-0256(97)00044-x ◽

1997 ◽

Vol 8 (4) ◽

pp. 317-326 ◽

Author(s):

T.E. Simos ◽

G. Tougelidis

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Phase Lag ◽

Order Method ◽

Eighth Order ◽

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Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.06.013 ◽

2005 ◽

Vol 175 (1) ◽

pp. 161-172 ◽

Author(s):

D.P. Sakas ◽

T.E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Phase Lag ◽

Radial Schrödinger Equation ◽

Algebraic Order ◽

Minimal Phase ◽

Multiderivative Methods

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Dissipative high phase-lag order Numerov-type methods for the numerical solution of the Schrödinger equation

Computers & Chemistry ◽

10.1016/s0097-8485(99)00028-5 ◽

1999 ◽

Vol 23 (5) ◽

pp. 439-446 ◽

Author(s):

T.E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Phase Lag ◽

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A modified Runge–Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems

Computers & Chemistry ◽

10.1016/s0097-8485(00)00101-7 ◽

2001 ◽

Vol 25 (3) ◽

pp. 275-281 ◽

Author(s):

T.E Simos ◽

Jesús Vigo Aguiar

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Phase Lag ◽

Kutta Method ◽

Runge Kutta Method ◽

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A new four-step P-stable Obrechkoff method with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrödinger equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.04.024 ◽

2019 ◽

Vol 354 ◽

pp. 569-586 ◽

Author(s):

Ali Shokri ◽

Jesús Vigo-Aguiar ◽

Mohammad Mehdizadeh Khalsaraei ◽

Raquel Garcia-Rubio

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Phase Lag ◽

Radial Schrödinger Equation

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A two-step method with vanished phase-lag and its first two derivatives for the numerical solution of the Schrödinger equation

Journal of Mathematical Chemistry ◽

10.1007/s10910-011-9897-1 ◽

2011 ◽

Vol 49 (10) ◽

pp. 2486-2518 ◽

Author(s):

T. E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Phase Lag ◽

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A family of high-order multistep methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2011.09.025 ◽

2011 ◽

Vol 62 (10) ◽

pp. 3756-3774 ◽

Author(s):

Ibraheem Alolyan ◽

T.E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Multistep Methods ◽

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A family of high algebraic order embedded explicit six-step methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation and related problems

10.1063/1.4968772 ◽

2016 ◽

Author(s):

Ibraheem Alolyan ◽

T. E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Phase Lag ◽

Algebraic Order

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A new two stage symmetric two-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the radial Schrödinger equation

Journal of Mathematical Chemistry ◽

10.1007/s10910-015-0571-x ◽

2015 ◽

Vol 54 (2) ◽

pp. 442-465 ◽

Author(s):

Zhou Zhou ◽

T. E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Phase Lag ◽

Step Method ◽

Two Stage ◽

Radial Schrödinger Equation

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