Numerical Methods and Implementation in Geotechnical Engineering - Part 1 is the first part of a summary of some of the research and teaching materials to students and engineers by the authors.

Abstract. We analyze discontinuous Galerkin methods using upwind-biased numerical fluxes for time-dependent linear conservation laws. In one dimension, optimal a ...

The Boltzmann transport equation (BTE) serves as a fundamental model for describing the statistical behaviour of particles in a medium and finds applications across radiative transfer, neutron ...