Explicit advanced step-point (EAS) methods and the EAS2 multistep scheme for the solution of non-stiff initial value problems

DOI10.1016/j.amc.2008.06.018zbMath1165.65364OpenAlexW2010335227MaRDI QIDQ1008631

J. Martínez

Publication date: 30 March 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.06.018

zbMATH Keywords

numerical resultsabsolute stabilitypredictor-corrector methodscomputational efficiencymultistep methodslocal error estimatesAdams methodsvariable ordervariable stepnon-stiff initial value problemsEAS2 methodsexplicit advanced step-point (EAS) methods

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Up to sixth-order accurate A-stable implicit schemes applied to the discontinuous Galerkin discretized Navier-Stokes equations, The MOL solution of time dependent partial differential equations, A class of implicit advanced step-point methods with a parallel feature for the solution of 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

Uses Software

• NSDTST
• STDTST

Cites Work

• A new trigonometrically-fitted sixth algebraic order P-C algorithm for the numerical solution of the radial Schrödinger equation
• The numerical solution of the radial Schrödinger equation via a trigonometrically fitted family of seventh algebraic order predictor-corrector methods
• A family of numerical multistep methods with three distinct schemes: explicit advanced step-point (EAS) methods and the EAS1 approach
• A stability result for general linear methods with characteristic function having real poles only
• Trigonometrically fitted predictor--corrector methods for IVPs with oscillating solutions
• A fourth algebraic order trigonometrically fitted predictor-corrector scheme 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
• Some general formulae for the stability function of explicit advanced step-point (EAS) methods
• A class of implicit advanced step-point methods with a parallel feature for the solution of stiff initial value problems
• Klassische Runge-Kutta-Formeln fünfter und siebenter Ordnung mit Schrittweiten-Kontrolle
• Two FORTRAN packages for assessing initial value methods
• EXPONENTIALLY AND TRIGONOMETRICALLY FITTED EXPLICIT ADVANCED STEP-POINT (EAS) METHODS FOR INITIAL VALUE PROBLEMS WITH OSCILLATING SOLUTIONS
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