Stability and accuracy of a pseudospectral scheme for the Wigner function equation

DOI10.1002/num.22072zbMath1365.65231OpenAlexW2356130221WikidataQ115398067 ScholiaQ115398067MaRDI QIDQ2957432

Andrea Thomann, Alfio Borzì

Publication date: 26 January 2017

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22072

zbMATH Keywords

stabilitynumerical examplesWigner function equationFourier pseudospectral partial derivativesleap-frog pseudospectral schemesecond-order central-difference quotient

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (2)

Numerical methods for the Wigner equation with unbounded potential ⋮ The effect of elastic and inelastic scattering on electronic transport in open systems

Cites Work

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• An introduction to applied quantum mechanics in the Wigner Monte Carlo formalism
• A WENO-solver combined with adaptive momentum discretization for the Wigner transport equation and its application to resonant tunneling diodes
• A windowed Fourier pseudospectral method for hyperbolic conservation laws
• Analysis of a leap-frog pseudospectral scheme for the Schrödinger equation
• Applications of the Wigner distribution function in signal processing
• On the equivalence of the Schrödinger and the quantum Liouville equations
• A Spectral Method for the Numerical Simulation of Quantum Tunneling Phenomena
• An Operator Splitting Method for the Wigner–Poisson Problem
• Adaptive Conservative Cell Average Spectral Element Methods for Transient Wigner Equation in Quantum Transport
• Wigner-function formulation for quantum transport in semiconductors: Theory and Monte Carlo approach

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