Results 31 to 40 of about 209 (48)

Matrix methods for radial Schr\"{o}dinger eigenproblems defined on a semi-infinite domain

open access: yes, 2013
In this paper, we discuss numerical approximation of the eigenvalues of the one-dimensional radial Schr\"{o}dinger equation posed on a semi-infinite interval.
Aceto, Lidia   +2 more
core  

An asynchronous leapfrog method II [PDF]

open access: yes, 2016
A second order explicit one-step numerical method for the initial value problem of the general ordinary differential equation is proposed. It is obtained by natural modifications of the well-known leapfrog method, which is a second order, two-step ...
Mutze, Ulrich
core  

Some implications of a new definition of the exponential function on time scales

open access: yes, 2010
We present a new approach to exponential functions on time scales and to timescale analogues of ordinary differential equations. We describe in detail the Cayley-exponential function and associated trigonometric and hyperbolic functions. We show that the
Cieśliński, Jan L.
core  

New definitions of exponential, hyperbolic and trigonometric functions on time scales

open access: yes, 2010
We propose two new definitions of the exponential function on time scales. The first definition is based on the Cayley transformation while the second one is a natural extension of exact discretizations.
Cieslinski, Jan L.
core  

On the exact discretization of the classical harmonic oscillator equation

open access: yes, 2009
We discuss the exact discretization of the classical harmonic oscillator equation (including the inhomogeneous case and multidimensional generalizations) with a special stress on the energy integral.
Cieslinski, Jan L.
core  

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