Parallel Finite-Difference Time-Domain Method

Constraint Satisfaction Problems (CSPs) are natural computational problems that appear in many areas of theoretical computer science. Exploring which CSPs are solvable in polynomial time and which are NP-hard reveals a surprising link with central questions in universal algebra. This monograph presents a self-contained introduction to the universal-algebraic approach to complexity classification, treating both finite and infinite-domain CSPs. It includes the required background from logic and combinatorics, particularly model theory and Ramsey theory, and explains the recently discovered link between Ramsey theory and topological dynamics and its implications for CSPs. The book will be of interest to graduate students and researchers in theoretical computer science and to mathematicians in logic, combinatorics, and dynamics who wish to learn about the applications of their work in complexity theory.

In this volume, Mordechai Z. Cohen explores the interpretive methods of Rashi of Troyes (1040–1105), the most influential Jewish Bible commentator of all time. By elucidating the 'plain sense' (peshat) of Scripture, together with critically selected midrashic interpretations, Rashi created an approach that was revolutionary in the talmudically-oriented Ashkenazic milieu. Cohen contextualizes Rashi's commentaries by examining influences from other centers of Jewish learning in Muslim Spain and Byzantine lands. He also opens new scholarly paths by comparing Rashi's methods with trends in Latin learning reflected in the Psalms commentary of his older contemporary, Saint Bruno the Carthusian (1030–1101). Drawing upon the Latin tradition of enarratio poetarum ('interpreting the poets'), Bruno applied a grammatical interpretive method and incorporated patristic commentary selectively, a parallel that Cohen uses to illuminate Rashi's exegetical values. Cohen thereby brings to light the novel

Presenting a fresh look at process control, this new text demonstrates state-space approach shown in parallel with the traditional approach to explain the strategies used in industry today. Modern time-domain and traditional transform-domain methods are integrated throughout and explain the advantages and limitations of each approach; the fundamental theoretical concepts and methods of process control are applied to practical problems. To ensure understanding of the mathematical calculations involved, MATLAB® is included for numeric calculations and MAPLE for symbolic calculations, with the math behind every method carefully explained so that students develop a clear understanding of how and why the software tools work. Written for a one-semester course with optional advanced-level material, features include solved examples, cases that include a number of chemical reactor examples, chapter summaries, key terms, and concepts, as well as over 240 end-of-chapter problems, focused computat

《時域有限差分法在屏蔽分析中的應用》針對時域有限差分(finite-difference time-domain,FDTD)法分析電磁屏蔽問題中遇到的典型問題，提出了一套精度更高的FDTD法模擬窄縫的亞網格技術。《時域有限差分法在屏蔽分析中的應用》首先概述了裝備所處的戰場電磁環境效應，分析了現有的幾種窄縫FDTD法模擬亞網格技術的精度，建立了一種新的平面波照射無限大導體板的FDTD法實現模型。對於

Every fluid dynamicist will at some point need to use computation. Thinking about the physics, constraints and the requirements early on will be rewarded with benefits in time, effort, accuracy and expense. How these benefits can be realised is illustrated in this guide for would-be researchers and beginning graduate students to some of the standard methods and common pitfalls of computational fluid mechanics. Based on a lecture course that the author has developed over twenty years, the text is split into three parts. The quick introduction enables students to solve numerically a basic nonlinear problem by a simple method in just three hours. The follow-up part expands on all the key essentials, including discretisation (finite differences, finite elements and spectral methods), time-stepping and linear algebra. The final part is a selection of optional advanced topics, including hyperbolic equations, the representation of surfaces, the boundary integral method, the multigrid method,

Every fluid dynamicist will at some point need to use computation. Thinking about the physics, constraints and the requirements early on will be rewarded with benefits in time, effort, accuracy and expense. How these benefits can be realised is illustrated in this guide for would-be researchers and beginning graduate students to some of the standard methods and common pitfalls of computational fluid mechanics. Based on a lecture course that the author has developed over twenty years, the text is split into three parts. The quick introduction enables students to solve numerically a basic nonlinear problem by a simple method in just three hours. The follow-up part expands on all the key essentials, including discretisation (finite differences, finite elements and spectral methods), time-stepping and linear algebra. The final part is a selection of optional advanced topics, including hyperbolic equations, the representation of surfaces, the boundary integral method, the multigrid method,