Results 121 to 130 of about 22,003 (145)

Particle approximation of convection–diffusion equations

Mathematics and Computers in Simulation, 2001
A particle method is derived for convection-diffusion equations and a convergence theorem is proved. Numerical results are discussed for different quasi random walks. An effective method is determined for replacing pseudo-random sequences in particle simulations with quasi-random sequences.
Lécot, Christian, Schmid, Wolfgang Ch.
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Incremental unknowns for convection–diffusion equations

Applied Numerical Mathematics, 1993
The authors employ the method of incremental unknowns as suggested by the second author [SIAM J. Math. Anal. 21, No. 1, 154-178 (1990; Zbl 0715.35039)] to improve the convergence rate for some iterative methods applied to finite difference schemes for convection-diffusion equations.
Chen, Min, Temam, Roger
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Wavefronts for convection-diffusion

2004
As mentioned earlier, when the reaction term in (1.1) is absent and the partial differential equation is $$ {u_t} = {\left( {a\left( u \right)} \right)_{xx}} + {\left( {b\left( u \right)} \right)_x} $$ (9.1) the integral equation (1.9) reduces to the simple identity θ(s) = σs+b(s) .
Brian H. Gilding, Robert Kersner
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Convection-Diffusion Problems

2009
This chapter is devoted to numerical methods for the convection-diffusion problem $$- \varepsilon \Delta u - b\nabla u + cu = f\;in\;\Omega = (0,1)^2 ,\;u|_{\partial \Omega } = 0,$$ (9.1) with b1 ≥ β1 > 0, b2 ≥ β2 > 0 on [0,1]2, i.e., problems with regular boundary layers at the outflow boundary x = 0 and y = 0.
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The convection–diffusion equation

2014
AbstractThis chapter concerns the statement of the steady convection–diffusion equation and its weak formulation. This is followed by a description of finite element discretization and properties of the discrete problem, including error bounds, stabilization methods and matrix properties.
A. M. Stuart, E. Söli
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Multi-component convection diffusion

2004
In the standard Benard problem the instability is driven by a density difference caused by a temperature difference between the upper and lower planes bounding the fluid. If the fluid layer additionally has salt dissolved in it then there are potentially two destabilizing sources for the density difference, the temperature field and the salt field.
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Preconditioning convection dominated convection‐diffusion problems

International Journal of Numerical Methods for Heat & Fluid Flow, 1995
This paper is concerned with the numerical solution of multi‐dimensional convection dominated convection‐diffusion problems. These problems are characterized by a large parameter, K, multiplying the convection terms. The goal of this work is the development and analysis of effective preconditioners for iteratively solving the large system of linear ...
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Convective diffusion in mass bubbling

Journal of Engineering Physics, 1971
A model of spherical cells with a Happel free boundary is used to solve the problem of convective diffusion in mass bubbling. The solutions obtained differ from those already published in respect of a factor which allows for the restricted character of the motion of the bubbles.
L. N. Koltunova, L. S. Pozin, M. �. A�rov   +2 more
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AD–FDSD for convection–diffusion problems

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic behaviour in convection–diffusion processes

Nonlinear Analysis: Theory, Methods & Applications, 1999
The Cauchy problem for the equation \[ u_t=(u^m)_{xx}+(u^n)_x \] is studied for \(m>1\) and \(n\geq m+1\). It is shown that for \(n> m+1\) the solution behaves (as \(t\to\infty\)) like the Barenblatt solution of the porous medium equation having the same mass. If \(n=m+1\) then the behavior is asymptotically selfsimilar.
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