DOI 10.1016/j.cpc.2011.04.011 zbMath 1262.65084 OpenAlex W2003652481 MaRDI QID Q1943177
G. A. Panopoulos , Theodore E. Simos , Zacharias A. Anastassi
Publication date : 15 March 2013
Published in : Computer Physics Communications (Search for Journal in Brave )
Full work available at URL : https://doi.org/10.1016/j.cpc.2011.04.011
New three-stages symmetric six-step finite difference method with vanished phase-lag and its derivatives up to sixth derivative for second order initial and/or boundary value problems with periodical and/or oscillating solutions ⋮
An implicit symmetric linear six-step methods with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the radial Schrödinger equation and related problems ⋮
Family of symmetric linear six-step methods with vanished phase-lag and its derivatives and their application to the radial Schrödinger equation and related problems ⋮
A family of embedded explicit six-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation: development and theoretical analysis ⋮
A new six-step algorithm with improved properties for the numerical solution of second order initial and/or boundary value problems ⋮
A new three-stages six-step finite difference pair with optimal phase properties for second order initial and/or boundary value problems with periodical and/or oscillating solutions ⋮
A family of two stages tenth algebraic order symmetric six-step methods with vanished phase-lag and its first derivatives for the numerical solution of the radial Schrödinger equation and related problems ⋮
A new eight algebraic order embedded explicit six-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the Schrödinger equation ⋮
A new phase-fitted eight-step symmetric embedded predictor-corrector method (EPCM) for orbital problems and related IVPs with oscillating solutions ⋮
Three stages symmetric six-step method with eliminated phase-lag and its derivatives for the solution of the Schrödinger equation ⋮
An efficient six-step method for the solution of the Schrödinger equation ⋮
A new high order two-step method with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation ⋮
New multiple stages multistep method with best possible phase properties for second order initial/boundary value problems ⋮
High order four-step hybrid method with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation ⋮
New high order multiderivative explicit four-step methods with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation. I: construction and theoretical analysis ⋮
MHD flow of an incompressible viscous fluid through convergent or divergent channels in presence of a high magnetic field ⋮
A generator of families of two-step numerical methods with free parameters and minimal phase-lag ⋮
A new family of symmetric linear four-step methods for the efficient integration of the Schrödinger equation and related oscillatory problems ⋮
A multistep method with optimal properties for second order differential equations ⋮
A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems ⋮
New two stages high order symmetric six-step method with vanished phase-lag and its first, second and third derivatives for the numerical solution of the Schrödinger equation ⋮
New four-stages symmetric six-step method with improved phase properties for second order problems with periodical and/or oscillating solutions ⋮
A new four-step hybrid type method with vanished phase-lag and its first derivatives for each level for the approximate integration of the Schrödinger equation ⋮
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 ⋮
An explicit four-step method with vanished phase-lag and its first and second derivatives ⋮
Probabilistic evolution approach for the solution of explicit autonomous ordinary differential equations. Part 2: Kernel separability, space extension, and, series solution via telescopic matrices ⋮
A Runge-Kutta type four-step method with vanished phase-lag and its first and second derivatives for each level for the numerical integration of the Schrödinger equation ⋮
A new explicit hybrid four-step method with vanished phase-lag and its derivatives ⋮
Trigonometrically fitted high-order predictor-corrector method with phase-lag of order infinity for the numerical solution of radial Schrödinger equation ⋮
An explicit linear six-step method with vanished phase-lag and its first derivative ⋮
A family of explicit linear six-step methods with vanished phase-lag and its first derivative ⋮
New 8-step symmetric embedded predictor-corrector (EPCM) method with vanished phase-lag and its first derivative for the numerical integration of the Schrödinger equation ⋮
A hybrid type four-step method with vanished phase-lag and its first, second and third derivatives for each level for the numerical integration of the Schrödinger equation ⋮
An eight-step semi-embedded predictor-corrector method for orbital problems and related IVPs with oscillatory solutions for which the frequency is unknown ⋮
A high algebraic order predictor-corrector explicit method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the Schrödinger equation and related problems ⋮
Efficient low computational cost hybrid explicit four-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical integration of the Schrödinger equation ⋮
A high algebraic order multistage explicit four-step method with vanished phase-lag and its first, second, third, fourth and fifth derivatives for the numerical solution of the Schrödinger equation ⋮
A new multistep finite difference pair for the Schrödinger equation and related problems ⋮
A new two stages tenth algebraic order symmetric six-step method with vanished phase-lag and its first and second derivatives for the solution of the radial Schrödinger equation and related problems ⋮
Two stages six-step method with eliminated phase-lag and its first, second, third and fourth derivatives for the approximation of the Schrödinger equation ⋮
High order computationally economical six-step method with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation ⋮
High algebraic order Runge-Kutta type two-step method with vanished phase-lag and its first, second, third, fourth, fifth and sixth derivatives ⋮
A new explicit four-step method with vanished phase-lag and its first and second derivatives ⋮
Two-frequency trigonometrically-fitted and symmetric linear multi-step methods for second-order oscillators ⋮
A new four-step Runge-Kutta type method with vanished phase-lag and its first, second and third derivatives for the numerical solution of the Schrödinger equation ⋮
Algorithm for the development of families of numerical methods based on phase-lag Taylor series ⋮
A new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving Schrödinger's equation ⋮
A predictor-corrector explicit four-step method with vanished phase-lag and its first, second and third derivatives for the numerical integration of the Schrödinger equation
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