scientific article; zbMATH DE number 1475342

DOI<327::AID-ZAMM327>3.0.CO;2-H 10.1002/(SICI)1521-4001(200005)80:5<327::AID-ZAMM327>3.0.CO;2-HzbMath0947.35166MaRDI QIDQ4489937

René Pinnau

Publication date: 6 November 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

stability analysisquantum hydrodynamic modelimplicit Euler discretizationquantum drift diffusion modelfourth-order nonlinear parabolic equation for the electron densityPoisson equation for the electrostatic potential

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Initial-boundary value problems for higher-order parabolic equations (35K35) Stability in context of PDEs (35B35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items

Convergent finite element discretizations of the density gradient equation for quantum semiconductors ⋮ Numerical study of the quantum Euler-Poisson model ⋮ Numerical approximation of a quantum drift-diffusion model ⋮ Convergent semidiscretization of a nonlinear fourth order parabolic system ⋮ A coupled Schrödinger drift-diffusion model for quantum semiconductor device simulations

Cites Work

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