Taflove A., Hagness S. Computational Electrodynamics: The Finite-Difference Time-Domain Method

Oxford University Press, London, 1958, 469 pp. Contents General analysis The physical properties of neutrons. The mathematical formulation of the laws of neutron migration. Stationary and time-dependent problems. The adjoint equation. The constant cross-section approximation. One-group theory and its range of application. Exact solutions 'for an infinite medium with isotropic scattering. Exact solutions for an infinite half-space. The case of two...

Springer, Berlin, Heidelberg, New York, 2006, 535 pp. Существует множество физических и технических задач, где значительная часть импульса и энергии, переносится частицами. В зависимости от конкретного приложения это могут быть фотоны, нейтроны, нейтрино, или заряженные частицы. Независимо от физики явлений, возникает проблема решения линейного или нелинейного кинетического уравнения Больцмана (уравнения переноса). There exist a wide range of app...

Academic Press, 1974. - 312 Pages. The development of the high-speed digital computer has had, and continues to have, a revolutionary effect on modern applied science. Immediate evidence is available in the form of a large number of computer-generated numerical solutions of fundamental, unsolved systems of mathematical equations. The diversity of fields being affected includes lunar and planetary astrodynamics, wave diffraction, shock waves, lam...

Department of Physics, University of Oslo, 2003. 345 p. Contents Introduction to Computational Physics Introduction Introduction to C/C++ and Fortran 90/95 Numerical differentiation Classes, templates and modules Linear algebra Non-linear equations and roots of polynomials Numerical interpolation, extrapolation and fitting of data Numerical integration Outline of the Monte-Carlo strategy Random walks and the Metropolis algorithm Mon...

Springer-Verlag Berlin Heidelberg, 2009, 307 pp. - ISBN 978-3-540-85368-8 Traditionally, radiative transfer has been the domain of astrophysicists and climatologists. In nuclear technology one has been dealing with the analogous equations of neutron transport. In recent years, applications of radiative transfer in combustion machine design and in medicine became more and more important. In each discipline various codes have been developed that—al...

Springer- Verlag, 2011. 267 p. This book contains 11 chapters written by relevant scientists in the field of particle-based methods and their applications in engineering and applied sciences. The chapters cover most particle-based techniques used in practice including the discrete element method, the smooth particle hydrodynamic method and the particle finite element method. The book will be of interest to researchers and engineers interested in...

Wiley-IEEE Press, 2003. - 552 pages. Wavelet theory is new to mathematics and has wide applications in science engineering. Because it has the potential to become an important tool in electronic applications such as packaging, interconnections, antenna theory, and wireless communications, engineers are preparing to enter the field in a virtual flood. While wavelets have been extensively covered from a mathematician's point of view, this timely...

Wiley-VCH, Weinheim, New York, 1998, 380 pp. - ISBN 3-527-29541-0 The recent advance of numerical prediction methods in nearly all domains of materials science and engineering has established a new, exciting, interdisciplinary approach which is often referred to as "computational materials science". It brings together elements from materials science, physics, computer science, mathematics, chemistry, and mechanical engineering. For instance, simu...

Springer-Verlag, Berlin, 2001, 375 pages This interdisciplinary book deals with the solution of large linear systems as they typically arise in computational electrodynamics. It presents a collection of topics which are important for the solution of real life electromagnetic problems with numerical methods - covering all aspects ranging from numerical mathematics up to measurement techniques. Special highlights include a first detailed treatmen...

Springer, 2007. - 548 Pages. Positioning itself at the common boundaries of several disciplines, this work provides new perspectives on modern nanoscale problems where fundamental science meets technology and computer modeling. In addition to well-known computational techniques such as finite-difference schemes and Ewald summation, the book presents a new finite-difference calculus of Flexible Local Approximation Methods (FLAME) that qualitativ...