On compact high order finite difference schemes for linear Schrodinger problem on non-uniform meshes

Radžiūnas, Mindaugas; Čiegis, Raimondas; Mirinavičius, Aleksas

Use this URL to cite this publication: https://hdl.handle.net/20.500.14911/146393

On compact high order finite difference schemes for linear Schrodinger problem on non-uniform meshes

Details

Publication Type (CRIS)

Straipsnis Web of Science duomenų bazėje / Article in Web of Science database (S1a)

Publication Type (eLABa)

Straipsnis Web of Science DB / Web of Science DB article (S1)

VILNIUS TECH Research Priorities and Topics

Fizinių, technologinių ir ekonominių procesų matematiniai modeliai ir metodai / Mathematical models and methods of physical, technological and economic processes (FM03)

Lithuanian Intelligent Specialization

Transportas, logistika ir informacinės ir ryšių technologijos (IRT) / Transport, logistic and information and communication technologies (L106)

Author(s)

Author	Affiliation
Radžiūnas, Mindaugas	Weierstrass Institute for Applied Analysis and Stochastics
Čiegis, Raimondas	Matematinio modeliavimo katedra / Department of Mathematical Modelling (1023)
Mirinavičius, Aleksas	Matematinio modeliavimo katedra / Department of Mathematical Modelling (1023)

Title

On compact high order finite difference schemes for linear Schrodinger problem on non-uniform meshes

[en]

Mindaugas Radziunas, Raimondas Ciegis, Aleksas Mirinavicius

Is part of

International journal of numerical analysis & modeling

Published In

Year	Volume	Issue	Start Page	End Page
2014	11	2	303	314

Publisher

Wuhan : Wuhan University and Institute for Scientific Computing and Information

Publisher (trusted)

Wuhan University and Institute for Scientific Computing and Information

Referenced in Database(s)(DBs)

Current Contents / Physical, Chemical & Earth Sciences

Science Citation Index Expanded (Web of Science)

Extent

p. 303-314

URI

URI	Access Rights
https://hdl.handle.net/20.500.14911/146393
Straipsnis	Viso teksto dokumentas (atviroji prieiga) / Full Text Document (Open Access)

Cited references

Science / Art Area

Gamtos mokslai / Natural Sciences (N)

Field of Science / Art

Matematika / Mathematics (N001)

Keywords (en)

Abstract (en)

In the present paper a general technique is developed for construction of compact high-order finite difference schemes to approximate Schrodinger problems on nonuniform meshes. Conservation of the finite difference schemes is investigated. The same technique is applied to construct compact high-order approximations of the Robin and Szeftel type boundary conditions. Results of computational experiments are presented.