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This volume contains selected papers in three closely related areas: mathematical modeling in mechanics, numerical analysis, and optimization methods. The papers are based upon talks presented on the International Conference for Mathematical Modeling and Optimization in Mechanics, held in Jyväskylä, Finland, March 6-7, 2014 dedicated to Prof. N. Banichuk on the occasion of his 70th birthday. The articles are written by well-known scientists working in computational mechanics and in optimization of complicated technical models. Also, the volume contains papers discussing the historical development, the state of the art, new ideas, and open problems arising in modern continuum mechanics and applied optimization problems. Several papers are concerned with mathematical problems in numerical analysis, which are also closely related to important mechanical models. The main topics treated include: * Computer simulation methods in mechanics, physics, and biology; * Variational problems and methods; minimization algorithms; * Optimal control problems with distributed and discrete control; * Shape optimization and shape design problems in science and engineering; * Sensitivity analysis and parameters optimization of complex systems.
Civil Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Engineering design --- Mechanical engineering. --- Mathematical models. --- Engineering, Mechanical --- Engineering. --- Computer mathematics. --- Mechanics. --- Mechanics, Applied. --- Engineering design. --- Engineering Design. --- Computational Science and Engineering. --- Theoretical and Applied Mechanics. --- Design, Engineering --- Engineering --- Industrial design --- Strains and stresses --- Applied mechanics --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Construction --- Industrial arts --- Technology --- Design --- Mathematics --- Machinery --- Steam engineering --- Computer science. --- Mechanics, applied. --- Informatics --- Science
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This book contains the results in numerical analysis and optimization presented at the ECCOMAS thematic conference “Computational Analysis and Optimization” (CAO 2011) held in Jyväskylä, Finland, June 9–11, 2011. Both the conference and this volume are dedicated to Professor Pekka Neittaanmäki on the occasion of his sixtieth birthday. It consists of five parts that are closely related to his scientific activities and interests: Numerical Methods for Nonlinear Problems; Reliable Methods for Computer Simulation; Analysis of Noised and Uncertain Data; Optimization Methods; Mathematical Models Generated by Modern Technological Problems. The book also includes a short biography of Professor Neittaanmäki.
Differential equations -- Numerical solutions. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Applied Mathematics --- Civil Engineering --- Differential equations --- Numerical solutions. --- 517.91 Differential equations --- Engineering. --- Computer mathematics. --- Physics. --- Mechanics. --- Mechanics, Applied. --- Theoretical and Applied Mechanics. --- Computational Mathematics and Numerical Analysis. --- Numerical and Computational Physics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Construction --- Industrial arts --- Technology --- Mathematics --- Mechanics, applied. --- Computer science --- Numerical and Computational Physics, Simulation. --- Mathematics.
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This book is focused on the discussion of the traffic assignment problem, the mathematical and practical meaning of variables, functions and basic principles. This work gives information about new approaches, methods and algorithms based on original methodological technique, developed by authors in their publications for the past several years, as well as corresponding prospective implementations. The book may be of interest to a wide range of readers, such as civil engineering students, traffic engineers, developers of traffic assignment algorithms etc. The obtained results here are to be used in both practice and theory. This book is devoted to the traffic assignment problem, formulated in a form of nonlinear optimization program. The most efficient solution algorithms related to the problem are based on its structural features and practical meaning rather than on standard nonlinear optimization techniques or approaches. The authors have carefully considered the meaning of the traffic assignment problem for efficient algorithms development. .
Traffic assignment. --- Traffic assignment --- Trip assignment --- Origin and destination traffic surveys --- Traffic estimation --- Mathematical models. --- Transportation engineering. --- Traffic engineering. --- Mathematical optimization. --- Game theory. --- Transportation Technology and Traffic Engineering. --- Optimization. --- Game Theory. --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Engineering, Traffic --- Road traffic --- Street traffic --- Traffic, City --- Traffic control --- Traffic regulation --- Urban traffic --- Highway engineering --- Transportation engineering --- Civil engineering --- Engineering
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Aeronautics --- Aeronàutica --- Models matemàtics --- Processament de dades --- Processament de dades electròniques --- Processament automàtic de dades --- Processament electrònic de dades --- Processament integrat de dades --- Sistematització de dades (Ordinadors) --- Tractament de dades --- Tractament electrònic de dades --- Tractament integrat de dades --- Automatització --- Informàtica --- Complexitat computacional --- Curació de dades --- Depuració (Informàtica) --- Estructures de dades (Informàtica) --- Gestió de bases de dades --- Informàtica mòbil --- Informàtica recreativa --- Intel·ligència artificial --- Sistemes en línia --- Temps real (Informàtica) --- Tractament del llenguatge natural (Informàtica) --- Processament òptic de dades --- Protecció de dades --- Transmissió de dades --- Tolerància als errors (Informàtica) --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètodes de simulació --- Anàlisi de sistemes --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- Aerostació --- Aviació (Aeronàutica) --- Comunicacions --- Estels (Joc) --- Globus aerostàtics --- Meteorologia en l'aeronàutica --- Navegació aèria --- Objectes voladors no identificats --- Vol lliure --- Aeronaus --- Astronàutica --- Aviació --- Vol
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This book contains the results in numerical analysis and optimization presented at the ECCOMAS thematic conference “Computational Analysis and Optimization” (CAO 2011) held in Jyväskylä, Finland, June 9–11, 2011. Both the conference and this volume are dedicated to Professor Pekka Neittaanmäki on the occasion of his sixtieth birthday. It consists of five parts that are closely related to his scientific activities and interests: Numerical Methods for Nonlinear Problems; Reliable Methods for Computer Simulation; Analysis of Noised and Uncertain Data; Optimization Methods; Mathematical Models Generated by Modern Technological Problems. The book also includes a short biography of Professor Neittaanmäki.
Mathematics --- Mathematical physics --- Classical mechanics. Field theory --- Applied physical engineering --- Computer science --- Computer. Automation --- theoretische fysica --- toegepaste mechanica --- informatica --- externe fixatie (geneeskunde --- wiskunde --- ingenieurswetenschappen --- mechanica
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This volume contains selected papers in three closely related areas: mathematical modeling in mechanics, numerical analysis, and optimization methods. The papers are based upon talks presented on the International Conference for Mathematical Modeling and Optimization in Mechanics, held in Jyväskylä, Finland, March 6-7, 2014 dedicated to Prof. N. Banichuk on the occasion of his 70th birthday. The articles are written by well-known scientists working in computational mechanics and in optimization of complicated technical models. Also, the volume contains papers discussing the historical development, the state of the art, new ideas, and open problems arising in modern continuum mechanics and applied optimization problems. Several papers are concerned with mathematical problems in numerical analysis, which are also closely related to important mechanical models. The main topics treated include: * Computer simulation methods in mechanics, physics, and biology; * Variational problems and methods; minimization algorithms; * Optimal control problems with distributed and discrete control; * Shape optimization and shape design problems in science and engineering; * Sensitivity analysis and parameters optimization of complex systems.
Mathematics --- Classical mechanics. Field theory --- Materials sciences --- Applied physical engineering --- Production management --- Computer science --- Computer. Automation --- DFMA (design for manufacture and assembly) --- toegepaste mechanica --- computers --- informatica --- informaticaonderzoek --- ingenieurswetenschappen --- mechanica
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This book is focused on the discussion of the traffic assignment problem, the mathematical and practical meaning of variables, functions and basic principles. This work gives information about new approaches, methods and algorithms based on original methodological technique, developed by authors in their publications for the past several years, as well as corresponding prospective implementations. The book may be of interest to a wide range of readers, such as civil engineering students, traffic engineers, developers of traffic assignment algorithms etc. The obtained results here are to be used in both practice and theory. This book is devoted to the traffic assignment problem, formulated in a form of nonlinear optimization program. The most efficient solution algorithms related to the problem are based on its structural features and practical meaning rather than on standard nonlinear optimization techniques or approaches. The authors have carefully considered the meaning of the traffic assignment problem for efficient algorithms development. .
Numerical methods of optimisation --- Operational research. Game theory --- Transport. Traffic --- Recreation. Games. Sports. Corp. expression --- spellen --- verkeer --- transport --- wiskunde
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This book provides research results using computational methods for fluid dynamics and engineering problems in aeronautics and other scientific and industrial applications. It gives an overview on the state of the art and the technology trends requiring advanced computational methods towards digitization in industrial and scientific processes. The chapters are based on Special Technology Sessions of the WCCM-ECCOMAS Virtual Congress 2021.
Methodology of economics --- Space research --- Astronomy --- Applied physical engineering --- Engineering sciences. Technology --- Air traffic --- Production management --- Business management --- Business economics --- Computer. Automation --- financieel management --- astronauten --- informatica --- productie --- engineering --- luchtvaart --- wiskunde --- ingenieurswetenschappen --- ruimtevaart
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This book elucidates the fundamental thermomechanical behaviour inherent in the 3D printing process within a laser-based powder bed fusion (L-PBF) system. It presents foundational concepts and provides in-depth derivations of the governing equations. The analysis encompasses arbitrary anisotropic linear viscoelastic materials, accounting for thermal effects. The authors leverage the theory of axially moving materials, a framework previously employed in the analysis of production processes within the process industry. They introduce a coordinate frame that moves in tandem with the printing laser, adopting an Eulerian perspective towards the in-motion solid. Designed for graduate students and researchers, this book is poised to foster a profound comprehension and spur innovative technological advancements in the realm of additive manufacturing.
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