A generator of high-order embedded \(P\)-stable methods for the numerical solution of the Schrödinger equation
A generator of new embedded \(P\)-stable methods of order \(2n+2\), where \(n\) is the number of layers used by the embedded methods, for the approximate numerical integration of the one-dimensional Schrödinger equation is developed. These new methods are called embedded methods because of a simple natural error control mechanism. Numerical results obtained for one-dimensional differential equations of the Schrödinger type show the validity of the developed theory.
scientific article; zbMATH DE number 932491
scientific article