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The latest state of simulation techniques to model plasticity and fracture in crystalline materials on the nano- and microscale is presented. Discrete dislocation mechanics and the neighbouring fields molecular dynamics and crystal plasticity are central parts. The physical phenomena, the theoretical basics, their mathematical description and the simulation techniques are introduced and important problems from the formation of dislocation structures to fatigue and fracture from the nano- to microscale as well as it’s impact on the macro behaviour are considered.
Engineering. --- Continuum Mechanics and Mechanics of Materials. --- Appl.Mathematics/Computational Methods of Engineering. --- Mathematical Methods in Physics. --- Mathematical physics. --- Engineering mathematics. --- Materials. --- Ingénierie --- Physique mathématique --- Mathématiques de l'ingénieur --- Matériaux --- Plasticity --- Fracture mechanics --- Mathematical models --- Fracture mechanics -- Mathematical models. --- Fracture mechanics. --- Mathematical models. --- Plasticity -- Mathematical models. --- Plasticity. --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Applied Mathematics --- Materials Science --- Crystals --- Plastic properties --- Physics. --- Applied mathematics. --- Continuum mechanics. --- Mechanical engineering. --- Mechanical Engineering. --- Crystallography --- Powders --- Solids --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Mathematical and Computational Engineering. --- Physical mathematics --- Physics --- Engineering --- Engineering analysis --- Mathematical analysis --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Machinery --- Steam engineering --- Mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Plasticity - Mathematical models --- Fracture mechanics - Mathematical models --- Solids. --- Mathematical and Computational Engineering Applications. --- Data processing. --- Solid state physics --- Transparent solids
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This book, combining analysis and tools from mathematical probability, focuses on a systematic and novel presentation of recent trends in pure and applied mathematics: the emergence of three fields, wavelets, signals and fractals. The unity of basis constructions and their expansions is emphasized as the starting point for the development of bases that are computationally efficient for use in several areas from wavelets to fractals. The book brings together tools from engineering and math, especially from signal- and image processing, and from harmonic analysis and operator theory. The presentation is aimed at graduate students, as well as users from a diverse spectrum of applications. Key features: • A hands-on approach for students, including tutorials and numerous exercises; • Excellent motivation throughout; • New pedagogical features: glossary of terms, their use in mathematics and in engineering, help for cross-audiences, image processing, visual presentation of key algorithms, structure and geometry of big matrix computations, explanation of uses of the theory in applications outside of mathematics; • Includes more than 50 figures with captions, illustrating the main ideas, plus engineering diagrams, graphic renditions of algorithms, and separate illustrations; • Separate sections in the book explain engineering terms to mathematicians, and operator theory to engineers; • Each chapter concludes with a helpful guide to the literature allowing students to follow up on the topics in the book. Palle E.T. Jorgensen is a Professor of Mathematics at the University of Iowa. This book is based in part on interdisciplinary courses that he has taught over the last several years, and on his work with his current and former students. His most recent book was written jointly with Ola Bratteli and is entitled Wavelets through a Looking Glass, ©2002 Birkhäuser Boston.
Fractals. --- Mathematical analysis. --- Probabilities. --- Wavelets (Mathematics) --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- 517.1 Mathematical analysis --- Mathematical analysis --- Wavelet analysis --- Harmonic analysis --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Probabilities --- Fractals --- Distribution (Probability theory. --- Global analysis (Mathematics). --- Mathematics. --- Engineering mathematics. --- Probability Theory and Stochastic Processes. --- Analysis. --- Applications of Mathematics. --- Mathematical and Computational Engineering. --- Signal, Image and Speech Processing. --- Information and Communication, Circuits. --- Engineering --- Engineering analysis --- Math --- Science --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Distribution functions --- Frequency distribution --- Characteristic functions --- Harmonic analysis. --- Analysis (Mathematics). --- Applied mathematics. --- Signal processing. --- Image processing. --- Speech processing systems. --- Information theory. --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- Communication theory --- Communication --- Cybernetics --- Computational linguistics --- Electronic systems --- Information theory --- Modulation theory --- Oral communication --- Speech --- Telecommunication --- Singing voice synthesizers --- Pictorial data processing --- Picture processing --- Processing, Image --- Imaging systems --- Optical data processing --- Computer science --- Probability Theory. --- Mathematical and Computational Engineering Applications. --- Signal, Speech and Image Processing . --- Mathematical Applications in Computer Science. --- Data processing. --- Computer mathematics --- Electronic data processing
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The Vehicle Routing Problem (VRP) has been an especially active and fertile area of research. Over the past five to seven years, there have been numerous technological advances and exciting challenges that are of considerable interest to students, teachers, and researchers. The Vehicle Routing Problem: Latest Advances and New Challenges will focus on a host of significant technical advances that have evolved over the past few years for modeling and solving vehicle routing problems and variants. New approaches for solving VRPs have been developed from important methodological advances. These developments have resulted in faster solution algorithms, more accurate techniques, and an improvement in the ability to solve large-scale, complex problems. The book will systematically examine these recent developments in the VRP and provide the following in a unified and carefully developed presentation: Present novel problems that have arisen in the vehicle routing domain and highlight new challenges for the field; Present significant methodological advances or new approaches for solving existing vehicle routing problems; Summarize the most significant research results for the vehicle routing problem and its variants from 2000 to the present. .
Vehicle routing problem. --- Transportation problems (Programming) --- Delivery of goods --- Mathematical models. --- Store delivery services --- Transportation --- Parcel post --- Shipment of goods --- VRP (Vehicle routing problem) --- Combinatorial optimization --- Traveling salesman problem --- Transport problems (Programming) --- Linear programming --- Road traffic --- Operational research. Game theory --- 519.8 --- 681.3*G22 --- 519.8 Operational research --- Operational research --- 681.3*G22 Graph theory: graph algorithms; network problems; path and tree problems; trees--See also {681.3*F22} --- Graph theory: graph algorithms; network problems; path and tree problems; trees--See also {681.3*F22} --- Operations research. --- Engineering mathematics. --- Mathematics. --- Engineering economy. --- Production management. --- Operations Research/Decision Theory. --- Mathematical and Computational Engineering. --- Applications of Mathematics. --- Operations Research, Management Science. --- Engineering Economics, Organization, Logistics, Marketing. --- Operations Management. --- Manufacturing management --- Industrial management --- Economy, Engineering --- Engineering economics --- Industrial engineering --- Math --- Science --- Engineering --- Engineering analysis --- Mathematical analysis --- Operational analysis --- Management science --- Research --- System theory --- Mathematics --- Decision making. --- Applied mathematics. --- Management science. --- Engineering economics. --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management decisions --- Choice (Psychology) --- Decision making --- Engineering—Data processing. --- Industrial Management. --- Operations Research and Decision Theory. --- Mathematical and Computational Engineering Applications. --- Operations Research, Management Science . --- Business administration --- Business enterprises --- Business management --- Corporate management --- Corporations --- Industrial administration --- Management, Industrial --- Rationalization of industry --- Scientific management --- Business --- Industrial organization
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