TITLE

Finite-difference Approximation of Mathematical Physics Problems on Irregular Grids

AUTHOR(S)
Vabishchevich, P. N.
PUB. DATE
July 2005
SOURCE
Computational Methods in Applied Mathematics;2005, Vol. 5 Issue 3, p294
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
No abstract available.
ACCESSION #
94563995

 

Related Articles

  • Simulation seismic wave propagation in topographic structures using asymmetric staggered grids. Wei-tao, Sun; Hui-zhu, Yang // Applied Mathematics & Mechanics;Jul2004, Vol. 25 Issue 7, p751 

    A new 3 D finite-difference (FD) method of spatially asymmetric staggered grids was presented to simulate elastic wave propagation in topographic structures. The method approximated the first-order elastic wave equations by irregular grids finite difference operator with second-order time...

  • On the numerical method for solving a hypersingular integral equation with the computation of the solution gradient. Ryzhakov, G. V. // Differential Equations;Sep2013, Vol. 49 Issue 9, p1168 

    We consider a linear integral equation, which arises when solving the Neumann boundary value problem for the Laplace equation with the representation of the solution in the form of a double layer potential, with a hypersingular integral treated in the sense of Hadamard finite value. We consider...

  • Computational analysis of the regimes of solidification and cooling of a continuous casting with a circular cross section. Bakhanovich, S.; Borukhov, V.; Timoshpol’kii, V.; Kabishov, S.; Kalinevich, E.; Tsurko, V. // Journal of Engineering Physics & Thermophysics;Mar2007, Vol. 80 Issue 2, p213 

    The nonlinear problem on heat conduction with discontinuity coefficients was solved by the finite-difference method with the use of a grid irregular in time and space. The calculations were carried out using difference schemes with a “weight,” making it possible to control the...

  • Seiche oscillations in the Nakhodka Gulf. Smirnov, S. // Russian Meteorology & Hydrology;Jan2016, Vol. 41 Issue 1, p57 

    Spatiotemporal parameters of barotropic seiche oscillations in the Nakhodka Gulf in the Sea of Japan are considered using the spectral finite-difference model. The finite-difference approximation of shallow water equations is carried out at the irregular triangular spatial grid. The sets of...

  • Finite-element error estimates for the MAC scheme. GIRAULT, V.; LOPEZ, H. // IMA Journal of Numerical Analysis;1996, Vol. 16 Issue 3, p347 

    This paper confirms that the MAC method, applied to solve the steady-state incompressible Navier–Stokes equations, satisfies error estimates of order one. It shows that the finite-difference equations of the MAC method can be derived by combining a velocity–vorticity mixed...

  • Spatial discretization of partial differential equations with integrals. McLachlan, Robert I. // IMA Journal of Numerical Analysis;Oct2003, Vol. 23 Issue 4, p645 

    We consider the problem of constructing spatial finite‐difference approximations on an arbitrary fixed grid which preserve any number of integrals of the partial differential equation and preserve some of its symmetries. A basis for the space of such finite‐difference operators is...

  • A Method Of Joint Solution Of The Boltzmann And Navier-Stokes Equations. Popov, S. P.; Tcheremissine, F. G. // AIP Conference Proceedings;2005, Vol. 762 Issue 1, p82 

    The method is designed for gas flows in which the flow field can be divided on some relatively small and highly non equilibrium (kinetic) zones, and the main area where hydrodynamic approximation is valid. The above division is made from a priori analysis of a problem and then could be corrected...

  • Stability and Convergence of Monotone Finite-Difference Approximations to a Quasilinear Conservation Law. Voloshin, S. // Differential Equations;Jul2005, Vol. 41 Issue 7, p963 

    Examines the stability and convergence of monotone finite-difference approximations to a quasilinear conservation law. Consideration of finite-difference approximations to a weak solution of the Cauchy problem; Form of admissibility condition used to define the Cauchy problem.

  • A posteriori error estimates for approximate solutions of irregular operator equations. Bakushinsky, A. B. // Doklady Mathematics;Apr2011, Vol. 83 Issue 2, p192 

    The article discusses the study which describes the derivation of a porteriori error estimates for approximate solutions of nonlinear irregular operator equations. It notes that irregular operator equations are motivated by the use of several operators such as inverse problems and ill-posed...

  • Stable higher order finite-difference schemes for stellar pulsation calculations. Reese, D. R. // Astronomy & Astrophysics / Astronomie et Astrophysique;Jul2013, Vol. 555 Issue 5, p1 

    Context. Calculating stellar pulsations requires high enough accuracy to match the quality of the observations. Many current pulsation codes apply a second-order finite-difference scheme, combined with Richardson extrapolation to reach fourth-order accuracy on eigenfunctions. Although this is a...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics