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  1. Computational Mathematics and Mathematical Physics
  2. Computational Mathematics and Mathematical Physics : Volume 51
  3. Computational Mathematics and Mathematical Physics : Volume 51, Issue 7, July 2011
  4. Basis difference method for orthogonal systems on a surface
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Computational Mathematics and Mathematical Physics : Volume 57
Computational Mathematics and Mathematical Physics : Volume 56
Computational Mathematics and Mathematical Physics : Volume 55
Computational Mathematics and Mathematical Physics : Volume 54
Computational Mathematics and Mathematical Physics : Volume 53
Computational Mathematics and Mathematical Physics : Volume 52
Computational Mathematics and Mathematical Physics : Volume 51
Computational Mathematics and Mathematical Physics : Volume 51, Issue 12, December 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 11, November 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 10, October 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 9, September 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 8, August 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 7, July 2011
On the 120th anniversary of the birthday of Professor Boris Nikolaevich Delaunay
Commutation conditions for Hankel matrices
On the application of Newton-type methods to Fritz John optimality conditions
Decentralized optimal control of dynamical systems under uncertainty
A nonlocal problem for singular linear systems of ordinary differential equations
Explicit stabilized Runge-Kutta methods
A class of one-step one-stage methods for stiff systems of ordinary differential equations
1 : 3 Resonance is a possible cause of nonlinear panel flutter
Generalized solutions of initial-boundary value problems for second-order hyperbolic systems
Weighted estimate for the convergence rate of a projection difference scheme for a quasilinear parabolic equation
Basis difference method for orthogonal systems on a surface
Numerical study of Peakons and k-Solitons of the Camassa-Holm and Holm-Hone equations
Saturation-free numerical scheme for computing the flow past a lattice of airfoils and the determination of separation points in a viscous fluid
Numerical study of radiometric forces via the direct solution of the Boltzmann kinetic equation
In memory of Academician Evgenii Frolovich Mishchenko (1922–2010)
Computational Mathematics and Mathematical Physics : Volume 51, Issue 6, June 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 5, May 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 4, April 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 3, March 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 2, February 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 1, January 2011
Computational Mathematics and Mathematical Physics : Volume 50
Computational Mathematics and Mathematical Physics : Volume 49
Computational Mathematics and Mathematical Physics : Volume 48
Computational Mathematics and Mathematical Physics : Volume 47
Computational Mathematics and Mathematical Physics : Volume 46

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Basis difference method for orthogonal systems on a surface

Content Provider Springer Nature Link
Author Korobitsyn, V. A.
Copyright Year 2011
Abstract The basis operator method intended for constructing systems of difference approximations to differential operators in vector and tensor analysis is extended to orthogonal systems on a surface. A class of completely conservative differential-difference schemes for continuum mechanics in Lagrangian variables is constructed. Basis operators are constructed using the finite volume equation, consistency conditions for discrete operators of the first derivative, and consistent projection operators for grid functions. A system of differential-difference continuum mechanics equations on a surface is obtained, which implies all conservation laws typical of the continuum case, including additional ones. A stability estimate is derived for discrete equations of an incompressible viscous fluid.
Starting Page 1222
Ending Page 1230
Page Count 9
File Format PDF
ISSN 09655425
Journal Computational Mathematics and Mathematical Physics
Volume Number 51
Issue Number 7
e-ISSN 15556662
Language English
Publisher SP MAIK Nauka/Interperiodica
Publisher Date 2011-07-15
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword discrete curvilinear surfaces orthogonal coordinates consistent basis operators conservative difference schemes conservation laws Computational Mathematics and Numerical Analysis
Content Type Text
Resource Type Article
Subject Computational Mathematics
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