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Volumn 66, Issue 2, 2011, Pages 473-546

On eight-step methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 80052721875     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review
Times cited : (9)

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    • A family of eight-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrdinger equation
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    • Symplectic methods of fifth order for the numerical solution of the radial Shrödinger equation
    • DOI 10.1023/B:JOMC.0000007812.39332.fa
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    • New second-order exponentially and trigonometrically fitted symplectic integrators for the numerical solution of the time-independent Schrödinger equation
    • T. Monovasilis, T. E. Simos, New second-order exponentially and trigonometrically fitted symplectic integrators for the numerical solution of the time-independent Schrödinger equation, J. Math. Chem. 42 (2007) 535-545.
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    • Exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation
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    • Trigonometrically fitted and exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation
    • DOI 10.1007/s10910-006-9167-9
    • T. Monovasilis, Z. Kalogiratou, T. E. Simos, Trigonometrically fitted and exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation, J. Math. Chem. 40 (2006) 257-267. (Pubitemid 44630535)
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    • High order closed Newton-Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation
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    • Closed Newton-Cotes trigonometrically-fitted formulae for the solution of the Schrödinger equation
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    • Closed Newton-Cotes trigonometrically-fitted formulae of high order for the numerical integration of the Schrödinger equation
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    • High-order closed Newton-Cotes trigonometrically-fitted formulae for long-time integration of orbital problems
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    • Closed Newton-Cotes trigonometrically-fitted formulae for long-time integration of orbital problems
    • T. E. Simos, Closed Newton-Cotes trigonometrically-fitted formulae for long-time integration of orbital problems, Rev. Mexic. Astron. A strof 42 (2006) 167-177.
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    • Closed Newton-Cotes trigonometrically-fitted formulae of high-order for long-time integration of orbital problems
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    • Families of third and fourth algebraic order trigonometrically fitted symplectic methods for the numerical integration of Hamiltonian systems
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    • T. Monovasilis, Z. Kalogiratou, T. E. Simos, Families of third and fourth algebraic order trigonometrically fitted symplectic methods for the numerical integration of Hamiltonian systems, Comput. Phys. Commun. 177 (2007) 757-763. (Pubitemid 47575500)
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    • T. Monovasilis, T. E. Simos, Symplectic methods for the numerical integration of the Schrödinger equation, Comput. Mater. Sci. 38 (2007) 526-532. (Pubitemid 44895492)
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    • Computation of the eigenvalues of the Schrödinger equation by symplectic and trigonometrically fitted symplectic partitioned Runge-Kutta methods
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    • Family of twelve steps exponential fitting symmetric multistep methods for the numerical solution of the Schrödinger equation
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    • A family of two-stage two-step methods for the numerical integration of the Schrödinger equation and related IVPs with oscillating solution
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    • Sixth algebraic order trigonometrically fitted predictor-corrector methods for the numerical solution of the radial Schrödinger equation
    • DOI 10.1007/s10910-004-1471-7
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    • The numerical solution of the radial Schrödinger equation via a trigonometrically fitted family of seventh algebraic order Predictor-Corrector methods
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    • New trigonometrically fitted six-step symmetric methods for the efficient solution of the Schrödinger equation
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    • Stabilization of a four-step exponentially-fitted method and its application to the Schrödinger equation
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    • A family of fifth algebraic order trigonometrically fitted P-C schemes for the numerical solution of the radial Schrödinger equation
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    • Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution
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    • Optimization as a function of the phase-lag order of nonlinear explicit two-step P-stable method for linear periodic IVPs
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    • Numerical multistep methods for the efficient solution of quantum mechanics and related problems
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    • A comparison of various variational approaches for solving the one-dimensional vibrational Schrödinger equation
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    • On finite difference methods for the solution of the Schrödinger equation
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