TY  - BOOK
AU  - Cai,Wei
TI  - Computational methods for electromagnetic phenomena: electrostatics in solvation, scattering, and electron transport 
SN  - 9781139108157 (ebook)
AV  - QC760.4.M37 C35 2013
U1  - 537.01/51 23
PY  - 2013///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Electromagnetism
KW  - Mathematical models
KW  - Electrostatics
KW  - Electron transport
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); Machine generated contents note: Part I. Electrostatics in Solvations: 1. Dielectric constant and fluctuation formulae for molecular dynamics; 2. Poisson-Boltzmann electrostatics and analytical approximations; 3. Numerical methods for Poisson-Boltzmann equations; 4. Fast algorithms for long-range interactions; Part II. Electromagnetic Scattering: 5. Maxwell equations, potentials, and physical/artificial boundary conditions; 6. Dyadic Green's functions in layered media; 7. High order methods for surface electromagnetic integral equations; 8. High order hierarchical Nedelec edge elements; 9. Time domain methods -- discontinuous Galerkin method and Yee scheme; 10. Computing scattering in periodic structures and surface plasmons; 11. Solving Schrödinger equations in waveguides and quantum dots; Part III. Electron Transport: 12. Quantum electron transport in semiconductors; 13. Non-equilibrium Green's function (NEGF) methods for transport; 14. Numerical methods for Wigner quantum transport; 15. Hydrodynamics electron transport and finite difference methods; 16. Transport models in plasma media and numerical methods
N2  - A unique and comprehensive graduate text and reference on numerical methods for electromagnetic phenomena, from atomistic to continuum scales, in biology, optical-to-micro waves, photonics, nanoelectronics and plasmas. The state-of-the-art numerical methods described include:  • Statistical fluctuation formulae for the dielectric constant  • Particle-Mesh-Ewald, Fast-Multipole-Method and image-based reaction field method for long-range interactions  • High-order singular/hypersingular (Nyström collocation/Galerkin) boundary and volume integral methods in layered media for Poisson-Boltzmann electrostatics, electromagnetic wave scattering and electron density waves in quantum dots  • Absorbing and UPML boundary conditions  • High-order hierarchical Nédélec edge elements  • High-order discontinuous Galerkin (DG) and Yee finite difference time-domain methods  • Finite element and plane wave frequency-domain methods for periodic structures  • Generalized DG beam propagation method for optical waveguides  • NEGF(Non-equilibrium Green's function) and Wigner kinetic methods for quantum transport  • High-order WENO and Godunov and central schemes for hydrodynamic transport  • Vlasov-Fokker-Planck and PIC and constrained MHD transport in plasmas
UR  - https://doi.org/10.1017/CBO9781139108157
ER  -