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Particle approximation of convection–diffusion equations
Mathematics and Computers in Simulation, 2001A 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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Soution of Convection-Diffusion Equations
2013Partial differential equations are an important part of mathematics in science and its numerical solution occupies an important position in the numerical analysis. Partial differential equations are closely related to human life and it has important research value.
Yamian Peng +2 more
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On a Convection Diffusion Equation with Absorption Term
Bulletin of the Malaysian Mathematical Sciences Society, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ouyang, Miao, Zhan, Huashui
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Stability of the solutions of a convection–diffusion equation
Nonlinear Analysis, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhan, Huashui, Feng, Zhaosheng
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An integral equation approach to the unsteady convection–diffusion equations
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tao Wei, Mingtian Xu
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The Convection-Diffusion Equation
2005Abstract This equation arises in numerous models of flows and other physical phenomena.
Howard C Elman +2 more
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The convection–diffusion equation
2014AbstractThis 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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Approximate Convection-Diffusion Equations
Journal of Hydrologic Engineering, 1999This paper describes the development of simplified momentum equations, in stage as well as in discharge formulations, governing the transition between the diffusion and the kinematic waves (including the latter). It also describes the application of these equations to arrive at the approximate convection-diffusion equations.
Muthiah Perumal, Kittur G. Ranga Raju
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ℋ︁‐matrices for the convection‐diffusion equation
PAMM, 2003AbstractHierarchical matrices (ℋ︁‐matrices) provide a technique for the sparse approximation of large, fully populated matrices. This technique has been shown to be applicable to stiffness matrices arising in boundary element method applications where the kernel function displays certain smoothness properties.
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On the finite difference approximation to the convection–diffusion equation
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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