zbMath0543.65047MaRDI QIDQ3332175
L. Gr. Ixaru
Publication date: 1984
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Two optimized symmetric eight-step implicit methods for initial-value problems with oscillating solutions,
High order multistep methods with improved phase-lag characteristics for the integration of the Schrödinger equation,
Improvements to the computation of eigenvalues and eigenfunctions of two-dimensional Schrödinger equations by constant perturbation based algorithms,
A new two-step hybrid method for the numerical solution of the Schrödinger equation,
A finite-difference method for the numerical solution of the Schrödinger equation,
A NEW METHOD FOR SOLVING SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS OF THE FIRST ORDER,
Modified Gauss-Laguerre exponential fitting based formulae,
The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian,
Extended explicit pseudo two-step RKN methods for oscillatory systems \(y^{\prime\prime} + My = f(y)\),
Differential equations with locally perturbed coefficients: High order error estimates for function and derivative,
Coefficients perturbation methods for higher-order differential equations,
Correction of eigenvalues estimated by the Legendre-Gauss tau method,
The numerical solution of the radial Schrödinger equation via a trigonometrically fitted family of seventh algebraic order predictor-corrector methods,
A four-step exponentially fitted method for the numerical solution of the Schrödinger equation,
Numerical approach of some three-body problems,
The fast and accurate computation of eigenvalues and eigenfunctions of time-independent one-dimensional Schrödinger equations,
STABILIZATION OF A FOUR-STEP EXPONENTIALLY-FITTED METHOD AND ITS APPLICATION TO THE SCHRÖDINGER EQUATION,
Exponential fitting for interpolation of oscillatory functions. A numerical approach,
New developments and results for mathematical models in environment evaluations,
A generator of families of two-step numerical methods with free parameters and minimal phase-lag,
Study the genetic variation using eta functions,
A hybrid method with phase-lag and derivatives equal to zero for the numerical integration of the Schrödinger equation,
Two-step high order hybrid explicit method for the numerical solution of the Schrödinger equation,
An exponentially convergent functional-discrete method for solving Sturm-Liouville problems with a potential including the Dirac \(\delta\)-function,
EXPONENTIALLY AND TRIGONOMETRICALLY FITTED EXPLICIT ADVANCED STEP-POINT (EAS) METHODS FOR INITIAL VALUE PROBLEMS WITH OSCILLATING SOLUTIONS,
The least-squares fit of highly oscillatory functions using eta-based functions,
A P-stable exponentially-fitted method for the numerical integration of the Schrödinger equation,
Exponential-fitted four-step methods for,
Exponentially-fitted Gauss-Laguerre quadrature rule for integrals over an unbounded interval,
Differential equations with piecewise approximate coefficients: Discrete and continuous estimation for initial and boundary value problems,
Exponentially and trigonometrically fitted methods for the solution of the Schrödinger equation,
A family of four-step trigonometrically-fitted methods and its application to the Schrödinger equation,
Closed Newton-Cotes trigonometrically-fitted formulae of high order for the numerical integration of the Schrödinger equation,
Contributions to the development of differential systems exactly solved by multistep finite-difference schemes,
Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods,
High order closed Newton-Cotes exponentially and trigonometrically fitted formulae as multilayer symplectic integrators and their application to the radial Schrödinger equation,
Numerical computation of the coefficients in exponential fitting,
High order closed Newton-Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation,
Algorithm for the development of families of numerical methods based on phase-lag Taylor series,
Exponentially fitted two-derivative DIRK methods for oscillatory differential equations,
A new Numerov-type method for the numerical solution of the Schrödinger equation,
A family of Runge-Kutta methods with zero phase-lag and derivatives for the numerical solution of the Schrödinger equation and related problems,
High order phase fitted multistep integrators for the Schrödinger equation with improved frequency tolerance,
A transformation method for numerical solution of the Schrödinger equation,
A conditionally \(P\)-stable fourth-order exponential-fitting method for \(y=f(x,y)\), Variable stepsize Störmer-Cowell methods