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Properties of Difference Schemes with Oblique Stencils for Hyperbolic Equations. / Paasonen, V. I.

In: Numerical Analysis and Applications, Vol. 11, No. 1, 01.01.2018, p. 60-72.

Research output: Contribution to journal › Article › peer-review

Harvard

Paasonen, VI 2018, 'Properties of Difference Schemes with Oblique Stencils for Hyperbolic Equations', Numerical Analysis and Applications, vol. 11, no. 1, pp. 60-72. https://doi.org/10.1134/S199542391801007X

APA

Paasonen, V. I. (2018). Properties of Difference Schemes with Oblique Stencils for Hyperbolic Equations. Numerical Analysis and Applications, 11(1), 60-72. https://doi.org/10.1134/S199542391801007X

Vancouver

Paasonen VI. Properties of Difference Schemes with Oblique Stencils for Hyperbolic Equations. Numerical Analysis and Applications. 2018 Jan 1;11(1):60-72. doi: 10.1134/S199542391801007X

Author

Paasonen, V. I. / Properties of Difference Schemes with Oblique Stencils for Hyperbolic Equations. In: Numerical Analysis and Applications. 2018 ; Vol. 11, No. 1. pp. 60-72.

BibTeX

@article{c480bf52b8924e9897e995a0bd70f0d0,
title = "Properties of Difference Schemes with Oblique Stencils for Hyperbolic Equations",
abstract = "In this paper, various difference schemes with oblique stencils, i.e., schemes using different space grids at different time levels, are studied. Such schemes may be useful in solving boundary value problems with moving boundaries, regular grids of a non-standard structure (for example, triangular or cellular ones), and adaptive methods. To study the stability of finite difference schemes with oblique stencils, we analyze the first differential approximation and dispersion. We study stability conditions as constraints on the geometric locations of stencil elements with respect to characteristics of the equation. We compare our results with a geometric interpretation of the stability of some classical schemes. The paper also presents generalized oblique schemes for a quasilinear equation of transport and the results of numerical experiments with these schemes.",
keywords = "adaptive grid, compact scheme, moving grid, nonuniform grid, oblique stencil",
author = "Paasonen, {V. I.}",
year = "2018",
month = jan,
day = "1",
doi = "10.1134/S199542391801007X",
language = "English",
volume = "11",
pages = "60--72",
journal = "Numerical Analysis and Applications",
issn = "1995-4239",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Properties of Difference Schemes with Oblique Stencils for Hyperbolic Equations

AU - Paasonen, V. I.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In this paper, various difference schemes with oblique stencils, i.e., schemes using different space grids at different time levels, are studied. Such schemes may be useful in solving boundary value problems with moving boundaries, regular grids of a non-standard structure (for example, triangular or cellular ones), and adaptive methods. To study the stability of finite difference schemes with oblique stencils, we analyze the first differential approximation and dispersion. We study stability conditions as constraints on the geometric locations of stencil elements with respect to characteristics of the equation. We compare our results with a geometric interpretation of the stability of some classical schemes. The paper also presents generalized oblique schemes for a quasilinear equation of transport and the results of numerical experiments with these schemes.

AB - In this paper, various difference schemes with oblique stencils, i.e., schemes using different space grids at different time levels, are studied. Such schemes may be useful in solving boundary value problems with moving boundaries, regular grids of a non-standard structure (for example, triangular or cellular ones), and adaptive methods. To study the stability of finite difference schemes with oblique stencils, we analyze the first differential approximation and dispersion. We study stability conditions as constraints on the geometric locations of stencil elements with respect to characteristics of the equation. We compare our results with a geometric interpretation of the stability of some classical schemes. The paper also presents generalized oblique schemes for a quasilinear equation of transport and the results of numerical experiments with these schemes.

KW - adaptive grid

KW - compact scheme

KW - moving grid

KW - nonuniform grid

KW - oblique stencil

UR - http://www.scopus.com/inward/record.url?scp=85043685190&partnerID=8YFLogxK

U2 - 10.1134/S199542391801007X

DO - 10.1134/S199542391801007X

M3 - Article

AN - SCOPUS:85043685190

VL - 11

SP - 60

EP - 72

JO - Numerical Analysis and Applications

JF - Numerical Analysis and Applications

SN - 1995-4239

IS - 1

ER -

ID: 12100620