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A sixth-order exponentially fitted method for the numerical solution of the radial Schrödinger equation
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Some finite difference methods for computing eigenvalues and eigenvectors of special two-point boundary value problems
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(Extended) Numerov method for computing eigenvalues of specific Schrödinger equations
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A four-step phase-fitted method for the numerical integration of second order initial-value problems
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A.D. Raptis and T.E. Simos, A four-step phase-fitted method for the numerical integration of second order initial-value problems, BIT 31, 160-168, (1991).
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An exactly soluble Schrödinger equation with a bistable potential
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A four-step method for the numerical solution of the Schrödinger equation
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Exponential fitted methods for the numerical integration of the Schrödinger equation
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T.E. Simos, Exponential fitted methods for the numerical integration of the Schrödinger equation, Comput. Phys. Commun. 71, 32-38, (1992).
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0000778465
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Error analysis of exponential-fitted methods for the numerical solution of the one-dimensional Schrödinger equation
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T.E. Simos, Error analysis of exponential-fitted methods for the numerical solution of the one-dimensional Schrödinger equation, Physics Letters A 177, 345-350, (1993).
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0001591709
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New variable-step procedure for the numerical integration of the one-dimensional Schrödinger equation
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T.E. Simos, New variable-step procedure for the numerical integration of the one-dimensional Schrödinger equation, J. Comput. Phys. 108, 175-179, (1993).
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85033122249
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A generator of high order embedded P-stable methods for the numerical solution of the Schrödinger equation
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to appear
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G. Avdelas and T.E. Simos, A Generator of high order embedded P-stable methods for the numerical solution of the Schrödinger equation, J. Comput. Appl. Math. (to appear).
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J. Comput. Appl. Math.
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84988121017
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On testing difference equations for the diatomic eigenvalue problem
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0019010803
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A one-step method for direct integration of structural dynamic equations
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0022752603
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Numerov-type method with minimal phase-lag for the integration of second order periodic initial-value problem. II. Explicit method
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M.M. Chawla and P.S. Rao, Numerov-type method with minimal phase-lag for the integration of second order periodic initial-value problem. II. Explicit method, J. Comput. Appl. Math. 15, 329-337, (1986).
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An explicit sixth-order method with phase-lag of order eight for y″ = f(t, y)
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M.M. Chawla and P.S. Rao, An explicit sixth-order method with phase-lag of order eight for y″ = f(t, y), J. Comp. Appl. Math. 10, 365-368, (1987).
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0001330331
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Numerical methods for y″ = f(x, y) via rational approximation for the cosine
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Symmetric multistep methods for periodic initial value problems
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0030291643
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A new method for the numerical solution of fourth-order bvp's with oscillating solutions
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G. Papakaliatakis and T.E. Simos, A new method for the numerical solution of fourth-order bvp's with oscillating solutions, Computers Math. Applic. 32 (10), 1-6, (1996).
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0039235668
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A first-order perturbative numerical method for the solution of the radial Schrödinger equation
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0001401038
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The numerical solution of coupled differential equations arising from the Schrödinger equation
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Allison, A.C.1
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