Solving the faddeev-merkuriev equations in total orbital momentum representation via spline collocation and tensor product preconditioning

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Solving the faddeev-merkuriev equations in total orbital momentum representation via spline collocation and tensor product preconditioning. / Gradusov, Vitaly A.; Roudnev, Vladimir A.; Yarevsky, Evgeny A.; Yakovlev, Sergey L.

в: Communications in Computational Physics, Том 30, № 1, 07.2021, стр. 255-287.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{2f747788c7854fbabc6f99e6f0a9206e,

title = "Solving the faddeev-merkuriev equations in total orbital momentum representation via spline collocation and tensor product preconditioning",

abstract = "The computational approach for solving the Faddeev-Merkuriev equations in total orbital momentum representation is presented. These equations describe a system of three quantum charged particles and are widely used in bound state and scattering calculations. The approach is based on the spline collocation method and exploits intensively the tensor product form of discretized operators and preconditioner, which leads to a drastic economy in both computer resources and time.",

keywords = "Faddeev-Merkuriev equations, Spline collocation, Tensor product preconditioner, Total orbital momentum representation, tensor product preconditioner, total orbital momentum representation, GROUND-STATE, COULOMB-SYSTEMS, ENERGY-LEVELS, POSITRON-HYDROGEN SCATTERING, spline collocation, HELIUM",

author = "Gradusov, {Vitaly A.} and Roudnev, {Vladimir A.} and Yarevsky, {Evgeny A.} and Yakovlev, {Sergey L.}",

year = "2021",

month = jul,

doi = "10.4208/CICP.OA-2020-0097",

language = "English",

volume = "30",

pages = "255--287",

journal = "Communications in Computational Physics",

issn = "1815-2406",

publisher = "Cambridge University Press",

number = "1",

}

RIS

TY - JOUR

T1 - Solving the faddeev-merkuriev equations in total orbital momentum representation via spline collocation and tensor product preconditioning

AU - Gradusov, Vitaly A.

AU - Roudnev, Vladimir A.

AU - Yarevsky, Evgeny A.

AU - Yakovlev, Sergey L.

PY - 2021/7

Y1 - 2021/7

N2 - The computational approach for solving the Faddeev-Merkuriev equations in total orbital momentum representation is presented. These equations describe a system of three quantum charged particles and are widely used in bound state and scattering calculations. The approach is based on the spline collocation method and exploits intensively the tensor product form of discretized operators and preconditioner, which leads to a drastic economy in both computer resources and time.

AB - The computational approach for solving the Faddeev-Merkuriev equations in total orbital momentum representation is presented. These equations describe a system of three quantum charged particles and are widely used in bound state and scattering calculations. The approach is based on the spline collocation method and exploits intensively the tensor product form of discretized operators and preconditioner, which leads to a drastic economy in both computer resources and time.

KW - Faddeev-Merkuriev equations

KW - Spline collocation

KW - Tensor product preconditioner

KW - Total orbital momentum representation

KW - tensor product preconditioner

KW - total orbital momentum representation

KW - GROUND-STATE

KW - COULOMB-SYSTEMS

KW - ENERGY-LEVELS

KW - POSITRON-HYDROGEN SCATTERING

KW - spline collocation

KW - HELIUM

UR - http://www.scopus.com/inward/record.url?scp=85106531220&partnerID=8YFLogxK

U2 - 10.4208/CICP.OA-2020-0097

DO - 10.4208/CICP.OA-2020-0097

M3 - Article

AN - SCOPUS:85106531220

VL - 30

SP - 255

EP - 287

JO - Communications in Computational Physics

JF - Communications in Computational Physics

SN - 1815-2406

IS - 1

ER -

ID: 85432295