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  1. Computational Mathematics and Mathematical Physics
  2. Computational Mathematics and Mathematical Physics : Volume 50
  3. Computational Mathematics and Mathematical Physics : Volume 50, Issue 12, December 2010
  4. Additive schemes for certain operator-differential equations
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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 50
Computational Mathematics and Mathematical Physics : Volume 50, Issue 12, December 2010
On the centenary of the birth of academician Anatolii Alekseevich Dorodnicyn
Regularized extragradient method for solving parametric multicriteria equilibrium programming problem
A modification of Hutchinson’s equation
A Richardson scheme of the decomposition method for solving singularly perturbed parabolic reaction-diffusion equation
Application of a 14-point averaging operator in the grid method
Additive schemes for certain operator-differential equations
Well-posedness of difference schemes for semilinear parabolic equations with weak solutions
Application of the quasi-spectral fourier method to soliton equations
A plasmastatic model of the galathea-belt magnetic trap
On the mechanism of pressure increase with increasing porosity of the media compressed in conical and cylindrical targets
Triple-deck theory in transonic flows and boundary layer stability
Propagation of perturbations in fluids excited by moving sources
Kinetic model of the Boltzmann equation for a diatomic gas with rotational degrees of freedom
Nonisothermal gas flow in a long channel analyzed on the basis of the kinetic S-Model
Self-similar asymptotics describing nonlinear waves in elastic media with dispersion and dissipation
Simulating flows of incompressible and weakly compressible fluids on multicore hybrid computer systems
On the use of computation optimization opportunities in computer technologies for applied and computational mathematics problems with prescribed quality characteristics
Computational Mathematics and Mathematical Physics : Volume 50, Issue 11, November 2010
Computational Mathematics and Mathematical Physics : Volume 50, Issue 10, October 2010
Computational Mathematics and Mathematical Physics : Volume 50, Issue 9, September 2010
Computational Mathematics and Mathematical Physics : Volume 50, Issue 8, August 2010
Computational Mathematics and Mathematical Physics : Volume 50, Issue 7, July 2010
Computational Mathematics and Mathematical Physics : Volume 50, Issue 6, June 2010
Computational Mathematics and Mathematical Physics : Volume 50, Issue 5, May 2010
Computational Mathematics and Mathematical Physics : Volume 50, Issue 4, April 2010
Computational Mathematics and Mathematical Physics : Volume 50, Issue 3, March 2010
Computational Mathematics and Mathematical Physics : Volume 50, Issue 2, February 2010
Computational Mathematics and Mathematical Physics : Volume 50, Issue 1, January 2010
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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Additive schemes for certain operator-differential equations

Content Provider Springer Nature Link
Author Vabishchevich, P. N.
Copyright Year 2010
Abstract Unconditionally stable finite difference schemes for the time approximation of first-order operator-differential systems with self-adjoint operators are constructed. Such systems arise in many applied problems, for example, in connection with nonstationary problems for the system of Stokes (Navier-Stokes) equations. Stability conditions in the corresponding Hilbert spaces for two-level weighted operator-difference schemes are obtained. Additive (splitting) schemes are proposed that involve the solution of simple problems at each time step. The results are used to construct splitting schemes with respect to spatial variables for nonstationary Navier-Stokes equations for incompressible fluid. The capabilities of additive schemes are illustrated using a two-dimensional model problem as an example.
Starting Page 2033
Ending Page 2043
Page Count 11
File Format PDF
ISSN 09655425
Journal Computational Mathematics and Mathematical Physics
Volume Number 50
Issue Number 12
e-ISSN 15556662
Language English
Publisher SP MAIK Nauka/Interperiodica
Publisher Date 2010-12-25
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword evolutionary problems operator-difference schemes stability Navier-Stokes equations for incompressible fluid Computational Mathematics and Numerical Analysis
Content Type Text
Resource Type Article
Subject Computational Mathematics
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