Theoretical and numerical analysis of problems with a boundary turning point and a variable diffusion coefficient

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Theoretical and numerical analysis of problems with a boundary turning point and a variable diffusion coefficient. / Liseikin, V. D.

в: Numerical Algorithms, Том 100, № 1, 31.10.2024, стр. 353-367.

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

BibTeX

@article{550d882d6d1d423d8954487b1ce63efc,

title = "Theoretical and numerical analysis of problems with a boundary turning point and a variable diffusion coefficient",

abstract = "The paper discusses a two-point boundary value problem with a boundary turning point and a quadratic diffusion coefficient. It establishes bounds on solution derivatives, describes layer-eliminating coordinate transformations and corresponding layer-resolving grids, and analyses the convergence of numerical solutions by an upwind scheme on the layer-resolving grids.",

keywords = "Adaptive grid, Hybrid-boundary layer, Power-of-type layers, Small parameter, Upwind scheme, Variable diffusion",

author = "Liseikin, {V. D.}",

note = "The study was funded by the Federal Research Center for Information and Computational Technologies through the project: Development and investigations of computational technologies for solving fundamental and applied problems of air-, hydro-, and wave dynamics, (WoS: 95 / 30, RINC: 109 (199)); mathematical and numerical methods for applied problems.",

year = "2024",

month = oct,

day = "31",

doi = "10.1007/s11075-024-01963-0",

language = "English",

volume = "100",

pages = "353--367",

journal = "Numerical Algorithms",

issn = "1017-1398",

publisher = "Springer Netherlands",

number = "1",

}

RIS

TY - JOUR

T1 - Theoretical and numerical analysis of problems with a boundary turning point and a variable diffusion coefficient

AU - Liseikin, V. D.

N1 - The study was funded by the Federal Research Center for Information and Computational Technologies through the project: Development and investigations of computational technologies for solving fundamental and applied problems of air-, hydro-, and wave dynamics, (WoS: 95 / 30, RINC: 109 (199)); mathematical and numerical methods for applied problems.

PY - 2024/10/31

Y1 - 2024/10/31

N2 - The paper discusses a two-point boundary value problem with a boundary turning point and a quadratic diffusion coefficient. It establishes bounds on solution derivatives, describes layer-eliminating coordinate transformations and corresponding layer-resolving grids, and analyses the convergence of numerical solutions by an upwind scheme on the layer-resolving grids.

AB - The paper discusses a two-point boundary value problem with a boundary turning point and a quadratic diffusion coefficient. It establishes bounds on solution derivatives, describes layer-eliminating coordinate transformations and corresponding layer-resolving grids, and analyses the convergence of numerical solutions by an upwind scheme on the layer-resolving grids.

KW - Adaptive grid

KW - Hybrid-boundary layer

KW - Power-of-type layers

KW - Small parameter

KW - Upwind scheme

KW - Variable diffusion

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85207526719&origin=inward&txGid=cff0fbee577380c607c984e1d3e0340e

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:001341130900001

UR - https://www.mendeley.com/catalogue/7a042f3a-2376-3896-a12a-be82c0c13ef3/

U2 - 10.1007/s11075-024-01963-0

DO - 10.1007/s11075-024-01963-0

M3 - Article

VL - 100

SP - 353

EP - 367

JO - Numerical Algorithms

JF - Numerical Algorithms

SN - 1017-1398

IS - 1

ER -

ID: 61171412