High order closed Newton–Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation
TE Simos - Applied Mathematics and Computation, 2009 - Elsevier
In this paper, we investigate the connection between The study of multistep symplectic
integrators is very poor although in the last decades several one step symplectic integrators
have been produced based on symplectic geometry (see the relevant literature and the
references here). In this paper we study the closed Newton–Cotes formulae and we write
them as symplectic multilayer structures. Based on the closed Newton–Cotes formulae, we
also develop trigonometrically-fitted symplectic methods. An error analysis for the one …
integrators is very poor although in the last decades several one step symplectic integrators
have been produced based on symplectic geometry (see the relevant literature and the
references here). In this paper we study the closed Newton–Cotes formulae and we write
them as symplectic multilayer structures. Based on the closed Newton–Cotes formulae, we
also develop trigonometrically-fitted symplectic methods. An error analysis for the one …
A new high order closed Newton-Cotes trigonometrically-fitted formulae for the numerical solution of the Schrodinger equation
A Shokri, H Saadat, AR Khodadadi - Iranian Journal of Mathematical …, 2018 - ijmsi.ir
In this paper, we investigate the connection between closed Newton-Cotes formulae,
trigonometrically-fitted methods, symplectic integrators and efficient integration of the
Schrodinger equation. The study of multistep symplectic integrators is very poor although in
the last decades several one step symplectic integrators have been produced based on
symplectic geometry (see the relevant literature and the references here). In this paper we
study the closed Newton-Cotes formulae and we write them as symplectic multilayer …
trigonometrically-fitted methods, symplectic integrators and efficient integration of the
Schrodinger equation. The study of multistep symplectic integrators is very poor although in
the last decades several one step symplectic integrators have been produced based on
symplectic geometry (see the relevant literature and the references here). In this paper we
study the closed Newton-Cotes formulae and we write them as symplectic multilayer …
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