The Fast Fourier Transform and the Numerical Solution of One-Dimensional Boundary Integral Equations.
The fractional transport equation: an analytical solution and a spectral approximation by Chebyshev polynomials.
The Gauss center research in multiscale scientific computation.
The grazing collisions asymptotics of the non cut-off Kac equation
The Hopf bifurcation theorem for parabolic equations with infinite delay
The existence of the Hopf bifurcation for parabolic functional equations with delay of maximum order in spatial derivatives is proved. An application to an integrodifferential equation with a singular kernel is given.
The initial value problem for nonlinear Boltzmann equation
The iteration process for the nonlinear two-dimensional oscillation problem.
The kinetic transport equation in the case of Compton scattering.
The spectrum of the transport operator with a potential term under the spatial periodicity condition
The stability of Ritz-Volterra projection and error estimates for finite element methods for a class of integro-differential equations of parabolic type
In this paper we first study the stability of Ritz-Volterra projection (see below) and its maximum norm estimates, and then we use these results to derive some error estimates for finite element methods for parabolic integro-differential equations.
The stationary Boltzmann equation in the slab with given weighted mass for hard and soft forces
Time-Fractional Derivatives in Relaxation Processes: A Tutorial Survey
2000 Mathematics Subject Classification: 26A33, 33E12, 33C60, 44A10, 45K05, 74D05,The aim of this tutorial survey is to revisit the basic theory of relaxation processes governed by linear differential equations of fractional order. The fractional derivatives are intended both in the Rieamann-Liouville sense and in the Caputo sense. After giving a necessary outline of the classica theory of linear viscoelasticity, we contrast these two types of fractiona derivatives in their ability to take into...
Travelling fronts for multidimensional nonlinear transport equations
Two methods for the inverse problem of memory reconstruction.