Year:    2013

CAM-Net Digest, Vol. 10 (2013), Iss. 10 : p. 8

Abstract

剑桥大学出版社关于该书简介：

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.

.Detailed state-of-the-art algorithms with mathematical derivations and underlyingphysics, providing methods and tools to solve realistic problems in scientific andengineering computing.

.Comprehensive coverage of electromagnetic phenomena, enabling understanding of multiscale and multiphysics issues.

.Clear physics background

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 (Nystrom 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

Contents

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 Schrodinger 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.

For more information see www.cambridge.org/9781107021051