| Description |
1 online resource (xviii, 444 pages) : illustrations |
| Contents |
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 |
| Summary |
"A unique and comprehensive graduate text and reference on numerical methods for electromagnetic phenomena, from atomistic to continuum scales, in biology, micro-to-optical waves, photonics, nanoelectronics and plasmas. The state-of-the-art numerical methods described include: Statistical fluctuation formula 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 hydrodynamics transport; Vlasov-Fokker-Planck and PIC and constrained MHD transport in plasmas"-- Provided by publisher |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Electromagnetism -- Mathematical models
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Electrostatics.
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Electron transport.
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TECHNOLOGY & ENGINEERING -- Engineering (General)
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SCIENCE -- Physics -- Electricity.
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SCIENCE -- Physics -- Electromagnetism.
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Electromagnetismo -- Modelos matemáticos
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Electrones -- Modelos matemáticos
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Electromagnetism -- Mathematical models
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Electron transport
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Electrostatics
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| Form |
Electronic book
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| ISBN |
9781139625425 |
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113962542X |
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9781139108157 |
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1139108158 |
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9781139616126 |
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1139616129 |
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