Implicit-Explicit Runge-Kutta Schemes for the Boltzmann-Poisson System for Semiconductors

DOI10.4208/cicp.090513.151113azbMath1373.82074arXiv1305.1759OpenAlexW3104365855MaRDI QIDQ5372250

Giacomo Dimarco, Vittorio Rispoli, Lorenzo Pareschi

Publication date: 27 October 2017

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1759

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Transport processes in time-dependent statistical mechanics (82C70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (14)

Solving semi-linear stiff neutral equations by implicit–explicit Runge-Kutta methods ⋮ High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations ⋮ Asymptotic-Preserving Monte Carlo Methods for Transport Equations in the Diffusive Limit ⋮ Numerical methods for kinetic equations ⋮ An asymptotic preserving automatic domain decomposition method for the Vlasov-Poisson-BGK system with applications to plasmas ⋮ An asymptotic-preserving scheme for the semiconductor Boltzmann equation toward the energy-transport limit ⋮ An asymptotic-preserving scheme for the semiconductor Boltzmann equation with two-scale collisions: a splitting approach ⋮ Multiscale Schemes for the BGK--Vlasov--Poisson System in the Quasi-Neutral and Fluid Limits. Stability Analysis and First Order Schemes ⋮ A stochastic asymptotic-preserving scheme for the bipolar semiconductor Boltzmann-Poisson system with random inputs and diffusive scalings ⋮ Stability-enhanced AP IMEX1-LDG Method: Energy-based Stability and Rigorous AP Property ⋮ Analysis of a New Implicit Solver for a Semiconductor Model ⋮ A fast implicit solver for semiconductor models in one space dimension ⋮ Odd-even based asymptotic preserving scheme for a 2D stochastic kinetic-fluid model ⋮ Redheffer Products and Numerical Approximation of Currents in One-Dimensional Semiconductor Kinetic Models

This page was built for publication: Implicit-Explicit Runge-Kutta Schemes for the Boltzmann-Poisson System for Semiconductors