EXPONENTIALLY AND TRIGONOMETRICALLY FITTED EXPLICIT ADVANCED STEP-POINT (EAS) METHODS FOR INITIAL VALUE PROBLEMS WITH OSCILLATING SOLUTIONS

DOI10.1142/S0129183103004334zbMath1079.34549MaRDI QIDQ5699972

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Publication date: 27 October 2005

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

zbMATH Keywords

initial value problemsNumerical solutionmultistep methodsexponential fittingtrigonometrical fittingpredictor--corrector methodsadvanced step-point methodsEAS methods

Mathematics Subject Classification ID

Related Items (12)

Analysis of higher order phase fitted variational integrators ⋮ Variable-stepsize Chebyshev-type methods for the integration of second-order I.V.P.'s ⋮ The numerical solution of the radial Schrödinger equation via a trigonometrically fitted family of seventh algebraic order predictor-corrector methods ⋮ STABILIZATION OF A FOUR-STEP EXPONENTIALLY-FITTED METHOD AND ITS APPLICATION TO THE SCHRÖDINGER EQUATION ⋮ \(P\)-stable higher derivative methods with minimal phase-lag for solving second order differential equations ⋮ Trigonometrically fitted predictor--corrector methods for IVPs with oscillating solutions ⋮ A general formula for the stability functions of a group of implicit advanced step-point (IAS) methods ⋮ Sixth algebraic order trigonometrically fitted predictor-corrector methods for the numerical solution of the radial Schrödinger equation ⋮ A fourth algebraic order trigonometrically fitted predictor-corrector scheme for IVPs with oscillating solutions ⋮ Explicit advanced step-point (EAS) methods and the EAS2 multistep scheme for the solution of non-stiff initial value problems ⋮ A family of numerical multistep methods with three distinct schemes: explicit advanced step-point (EAS) methods and the EAS1 approach ⋮ A new trigonometrically-fitted sixth algebraic order P-C algorithm for the numerical solution of the radial Schrödinger equation

Cites Work

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• SIMPLE AND ACCURATE EXPLICIT BESSEL AND NEUMANN FITTED METHODS FOR THE NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION
• On finite difference methods for the solution of the Schrödinger equation

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