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An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem
Nonlinear Convection-Diffusion Tetrahedron Partition Error Estimates
2013/1/30
A class of upwind finite volume element method based on tetrahedron partition is put forward for a nonlinear convection diffusion problem. Some techniques, such as calculus of variations, commutating ...
Characteristic Analysis of Exponential Compact Higher Order Schemes for Convection-Diffusion Equations
Exponential Scheme, Compact Higher Order Scheme, Characteristics, Resolving Efficiency, Finite Difference
2013/1/30
This paper looks at the development of a class of Exponential Compact Higher Order (ECHO) schemes and attempts to comprehend their behaviour by introducing different combinations of discrete source fu...
A Third-Order Scheme for Numerical Fluxes to Guarantee Non-Negative Coefficients for Advection-Diffusion Equations
Numerical Scheme, Numerical Analysis, Numerical Stability, Positivity Condition, Advection-Diffusion Equation, Advection Equation, High-Order Scheme, Godunov Theorem, Burgers’ Equation
2013/1/30
According to Godunov theorem for numerical calculations of advection equations, there exist no high-er-order schemes with constant positive difference coefficients in a family of polynomial schemes wi...
A Posteriori Error Estimates for Nonconforming Approximations of Evolutionary Convection-Diffusion Problems
a posteriori error estimates time-nonconforming approximations convection-diffusion
2011/2/25
We derive computable upper bounds for the difference between an exact solution of the evolutionary convection-diffusion problem and an approximation of this solution.
Equilibration, generalized equipartition, and diffusion in dynamical Lorentz gases
Equilibration generalized equipartition diffusion dynamical Lorentz gases
2010/12/15
We prove approach to thermal equilibrium for the fully Hamiltonian dynamics of a dynamical Lorentz gas, by which we mean an ensemble of particles moving through a d-dimensional array of fixed soft sca...
Large deviations of the empirical currents for a boundary driven reaction diffusion model
Large deviations Interacting particle system
2010/11/29
We derive a large deviation principle for the empirical currents of lattice gas dynamics which combine a fast stirring mechanism (Symmetric Simple Exclusion Process) and creation/annihilation mechanis...
Predictive Analysis for Social Diffusion: The Role of Network Communities
Social diffusion social networks prediction empirical analysis
2010/4/7
The diffusion of information and behaviors over social networks is of considerable interest in research fields ranging from sociology to computer science and application domains such as marketing, fin...
An unstructured mesh finite volume discretisation method for simulating diffusion in anisotropic media in two-dimensional space is discussed. This technique is considered as an extension of the fully ...