A new family of three-stage two-step P-stable multiderivative methods with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrödinger equation and IVPs with oscillating solutions
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Publication:1717585
DOI10.1007/s11075-018-0497-zzbMath1415.65165OpenAlexW2790649801MaRDI QIDQ1717585
Publication date: 7 February 2019
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-018-0497-z
ordinary differential equationsSchrödinger equationphase-lagP-stablephase-fittingmultiderivative methods
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items (4)
A new family of explicit linear two-step singularly P-stable Obrechkoff methods for the numerical solution of second-order IVPs ⋮ An explicit six-step singularly P-stable Obrechkoff method for the numerical solution of second-order oscillatory initial value problems ⋮ A new class of two-step P-stable TFPL methods for the numerical solution of second-order IVPs with oscillating solutions ⋮ Trigonometrically-Fitted Fifth Order Four-Step Predictor-Corrector Method for Solving Linear Ordinary Differential Equations with Oscillatory Solutions
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