Numerical Analysis Seminar

Date: October 10, 2018

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Ricardo Alonso

Title: Convergence and error estimates for a conservative spectral method for the homogeneous Boltzmann equation.

Abstract: Abstract: We develop error estimates for a semi-discrete conservative spectral method for the Boltzmann equation in L2 and Sobolev spaces. We prove that the conservation laws are, in some sense, more important than positivity of the solution in order to have accurate simulations for large times. Convergence of the numerical approximation to the Maxwellian equilibrium is also proved.