Runge-Kutta interpolants with minimal phase-lag

From MaRDI portal
Publication:1309715

DOI10.1016/0898-1221(93)90330-XzbMath0791.65054MaRDI QIDQ1309715

Theodore E. Simos

Publication date: 7 July 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)




Related Items

Two-derivative Runge-Kutta methods with increased phase-lag and dissipation order for the Schrödinger equationA family of two-stage two-step methods for the numerical integration of the Schrödinger equation and related IVPs with oscillating solutionTwo optimized symmetric eight-step implicit methods for initial-value problems with oscillating solutionsA new methodology for the development of numerical methods for the numerical solution of the Schrödinger equationA new methodology for the construction of numerical methods for the approximate solution of the Schrödinger equationHigh order multistep methods with improved phase-lag characteristics for the integration of the Schrödinger equationA new two-step hybrid method for the numerical solution of the Schrödinger equationA modified Runge-Kutta method for the numerical solution of ODE's with oscillation solutionsModified Runge-Kutta methods for the numerical solution of ODEs with oscillating solutionsBlock Runge-Kutta methods for periodic initial-value problemsHigh algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equationMulitstep methods with vanished phase-lag and its first and second derivatives for the numerical integration of the Schrödinger equationExtended RKN-type methods with minimal dispersion error for perturbed oscillatorsA new optimized Runge-Kutta pair for the numerical solution of the radial Schrödinger equationPhase error analysis of implicit Runge-Kutta methods: new classes of minimal dissipation low dispersion high order schemesA family of high-order multistep methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equationMinimum storage Runge-Kutta schemes for computational acoustics.A hybrid method with phase-lag and derivatives equal to zero for the numerical integration of the Schrödinger equationTwo-step high order hybrid explicit method for the numerical solution of the Schrödinger equationA new method for the numerical solution of fourth-order BVP's with oscillating solutionsA new class of diagonally implicit Runge-Kutta methods with zero dissipation and minimized dispersion errorRunge-Kutta type methods with special properties for the numerical integration of ordinary differential equationsA family of eight-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equationModified Runge-Kutta Verner methods for the numerical solution of initial and boundary-value problems with engineering applicationsA family of trigonometrically fitted partitioned Runge-Kutta symplectic methodsHigh order closed Newton-Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equationA variable mesh C-SPLAGE method of accuracy \(O(k^2h_l^{-1}+kh_l+h_l^3)\) for 1D nonlinear parabolic equationsA new Numerov-type method for the numerical solution of the Schrödinger equationA family of Runge-Kutta methods with zero phase-lag and derivatives for the numerical solution of the Schrödinger equation and related problemsHigh order phase fitted multistep integrators for the Schrödinger equation with improved frequency tolerance



Cites Work