Study of Discrete Scattering Operators for Some Linear Kinetic Models

DOI10.1007/978-1-4939-6399-7_5zbMath1386.82074OpenAlexW2510474496MaRDI QIDQ4606908

Fengyan Li, Yingda Cheng, Zheng Chen, Yanping Chen, Adrianna Gillman

Publication date: 9 March 2018

Published in: Topics in Numerical Partial Differential Equations and Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-6399-7_5

zbMATH Keywords

scatteringNyström methodsemiconductor device simulationsfirst- and second-order discontinuous Galerkin methodsfirst-order collocation methodFourier-collocation spectral method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Diffraction, scattering (78A45) Statistical mechanics of semiconductors (82D37) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Uses Software

• WENO

Cites Work

• Unnamed Item
• A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano-devices
• Upwind finite difference solution of Boltzmann equation applied to electron transport in semiconductor devices
• A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: Performance and comparisons with Monte Carlo methods.
• Discrete kernel preserving model for 1D electron-optical phonon scattering
• Hybrid Gauss-Trapezoidal Quadrature Rules

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