DOI10.1007/BF02247883zbMath0721.65045OpenAlexW2598503402MaRDI QIDQ2641088
A. D. Raptis, Theodore E. Simos
Publication date: 1990
Published in: Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02247883
A Runge-Kutta Fehlberg method with phase-lag of order infinity for initial-value problems with oscillating solution,
Accurate numerical approximations to initial value problems with periodical solutions,
Some new variable-step methods with minimal phase lag for the numerical integration of special second-order initial-value problem,
A new variable-step method for the numerical integration of special second-order initial value problems and their application to the one- dimensional Schrödinger equation,
A Runge-Kutta-Nyström method for the numerical integration of special second-order periodic initial-value problems,
An explicit four-step phase-fitted method for the numerical integration of second-order initial-value problems,
The Rayleigh-Ritz method still competitive,
Modified Runge-Kutta-Fehlberg methods for periodic initial-value problems,
\(P\)-stable Obrechkoff methods of arbitrary order for second-order differential equations,
Modified Runge-Kutta methods for the numerical solution of ODEs with oscillating solutions,
Block Runge-Kutta methods for periodic initial-value problems,
Embedded methods for the numerical solution of the Schrödinger equation,
Integration schemes for highly oscillatory DAEs with applications to circuit simulation,
Some inner product techniques for computing eigenvalues for three-dimensional anharmonic oscillators with quartic and sextic perturbations,
Energy levels for a double-well potential in three-dimensional system using Hill determinant approach,
Energy levels of a nonpolynomial oscillator using finite difference technique,
High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation,
Mulitstep methods with vanished phase-lag and its first and second derivatives for the numerical integration of the Schrödinger equation,
A generator of hybrid symmetric four-step methods for the numerical solution of the Schrödinger equation,
A mono-implicit Runge-Kutta-Nyström modification of the Numerov method,
P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations,
A family of two-step almost \(P\)-stable methods with phase-lag of order infinity for the numerical integration of second-order periodic initial- value problems,
A low-order embedded Runge-Kutta method for periodic initial-value problems,
An improved trigonometrically fitted P-stable Obrechkoff method for periodic initial-value problems,
A generator of hybrid explicit methods for the numerical solution of the Schrödinger equation and related problems,
A family of eight-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation,
Modified Runge-Kutta Verner methods for the numerical solution of initial and boundary-value problems with engineering applications,
Exponentially-fitted Obrechkoff methods for second-order differential equations,
A new hybrid imbedded variable-step procedure for the numerical integration of the Schrödinger equation,
A conditionally \(P\)-stable fourth-order exponential-fitting method for \(y=f(x,y)\), A four-step trigonometric fitted P-stable Obrechkoff method for periodic initial-value problems, A new numerical method for the integration of highly oscillatory second-order ordinary differential equations, A high order predictor-corrector method for periodic IVPs, Runge-Kutta-Nyström interpolants for the numerical integration of special second-order peridic initial-value problems