LEADER 05106nam 22008775 450 001 9910984695703321 005 20251028153618.0 010 $a9789819601004 024 7 $a10.1007/978-981-96-0100-4 035 $a(CKB)37776377200041 035 $a(MiAaPQ)EBC31953641 035 $a(Au-PeEL)EBL31953641 035 $a(DE-He213)978-981-96-0100-4 035 $a(OCoLC)1507694765 035 $a(EXLCZ)9937776377200041 100 $a20250302d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDeterministic, Stochastic, and Deep Learning Methods for Computational Electromagnetics /$fby Wei Cai 205 $a2nd ed. 2025. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2025. 215 $a1 online resource (931 pages) 311 08$a9789819600991 327 $aDielectric constant and fluctuation formulae for molecular dynamics -- Poisson?Boltzmann electrostatics and analytical approximations -- Numerical methods for Poisson?Boltzmann equations -- Random walk stochastic methods for boundary value problems -- Deep Neural Network for Solving PDEs -- Fast algorithms for long-range interactions -- Fast multipole methods for long-range interactions in layered media -- Maxwell equations, potentials, and physical/artificial boundary conditions -- Dyadic Green?s functions in layered media -- High-order methods for surface electromagnetic integral equations -- High-order hierarchical N´ed´elec edge elements -- Time-domain methods ? discontinuous Galerkin method and Yee scheme -- Scattering in periodic structures and surface plasmons -- Schr¨ odinger equations for waveguides and quantum dots -- Quantum electron transport in semiconductors -- Non-equilibrium Green?s function (NEGF) methods for transport -- Numerical methods for Wigner quantum transport -- Hydrodynamic electron transport and finite difference methods -- Transport models in plasma media and numerical methods. 330 $aThis book provides a well-balanced and comprehensive picture based on clear physics, solid mathematical formulation, and state-of-the-art useful numerical methods in deterministic, stochastic, deep neural network machine learning approaches for computer simulations of electromagnetic and transport processes in biology, microwave and optical wave devices, and nano-electronics. Computational research has become strongly influenced by interactions from many different areas including biology, physics, chemistry, engineering, etc. A multifaceted approach addressing the interconnection among mathematical algorithms and physical foundation and application is much needed to prepare graduate students and researchers in applied mathematics and sciences and engineering for innovative advanced computational research in many applications areas, such as biomolecular solvation in solvents, radar wave scattering, the interaction of lights with plasmonic materials, plasma physics, quantum dots, electronic structure, current flows in nano-electronics, and microchip designs, etc. 606 $aNumerical analysis 606 $aDifferential equations 606 $aElectrical engineering 606 $aMachine learning 606 $aMathematics$xData processing 606 $aMathematical physics 606 $aNumerical Analysis 606 $aDifferential Equations 606 $aElectrical and Electronic Engineering 606 $aMachine Learning 606 $aComputational Mathematics and Numerical Analysis 606 $aTheoretical, Mathematical and Computational Physics 606 $aAnàlisi numèrica$2thub 606 $aEquacions diferencials$2thub 606 $aEnginyeria elèctrica$2thub 606 $aAprenentatge automàtic$2thub 606 $aProcessament de dades$2thub 606 $aFísica matemàtica$2thub 606 $aMatemàtica discreta$2thub 608 $aLlibres electrònics$2thub 615 0$aNumerical analysis. 615 0$aDifferential equations. 615 0$aElectrical engineering. 615 0$aMachine learning. 615 0$aMathematics$xData processing. 615 0$aMathematical physics. 615 14$aNumerical Analysis. 615 24$aDifferential Equations. 615 24$aElectrical and Electronic Engineering. 615 24$aMachine Learning. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aTheoretical, Mathematical and Computational Physics. 615 7$aAnàlisi numèrica 615 7$aEquacions diferencials 615 7$aEnginyeria elèctrica 615 7$aAprenentatge automàtic 615 7$aProcessament de dades 615 7$aFísica matemàtica 615 7$aMatemàtica discreta 676 $a518 700 $aCai$b Wei$021811 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910984695703321 996 $aDeterministic, Stochastic, and Deep Learning Methods for Computational Electromagnetics$94326252 997 $aUNINA