الصفحة 12
الصفحة 12
Convective and Advective Heat Transfer in Geological Systems
This monograph aims to provide state-of-the-art theoretical results in a systematic treatment of convective and advective heat transfer during fluid flow in geological systems at the crustal scale. Although some numerical results are provided to complement theoretical ones, the main focus of this monograph is on theoretical aspects of the topic. The theoretical treatment contained in this monograph is also applicable to a wide range of problems of other length-scales such as engineering length-scales.
Control Systems Theory and Applications for Linear Repetitive Processes
After motivating examples, this monograph gives substantial new results on the analysis and control of linear repetitive processes. These include further applications of the abstract model based stability theory which, in particular, shows the critical importance to the dynamics developed of the structure of the initial conditions at the start of each new pass, the development of stability tests and performance bounds in terms of so-called 1D and 2D Lyapunov equations. It presents the development of a major bank of results on the structure and design of control laws, including the case when there is uncertainty in the process model description, together with numerically reliable computational algorithms. Finally, the application of some of these results in the area of iterative learning control is treated --- including experimental results from a chain conveyor system and a gantry robot system.
Control problems for conservation laws with traffic applications: modeling, analysis, and numerical methods
Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow. This open access monograph is the first to investigate different types of control problems for conservation laws that arise in the modeling of vehicular traffic. Four types of control problems are discussed - boundary, decentralized, distributed, and Lagrangian control - corresponding to, respectively, entrance points and tolls, traffic signals at junctions, variable speed limits, and the use of autonomy and communication. Because conservation laws are strictly connected to Hamilton-Jacobi equations, control of the latter is also considered.
Control of cracking in reinforced concrete structures
Provides guidelines which can extend the existing standards and codes to cover these types of special works, especially those which are massive in nature, taking account of their specific behaviour in terms of cracking and shrinkage together with other important properties such as water/air leak tightness
Continuous System Simulation
Continuous System Simulation describes systematically and methodically how mathematical models of dynamic systems, usually described by sets of either ordinary or partial differential equations possibly coupled with algebraic equations, can be simulated on a digital computer.
Continuous Optimization : Current Trends and Modern Applications
The search for the best possible performance is inherent in human nature. Individuals, enterprises and governments all seek optimal—that is, the best—possible solutions of problems that they meet. Evidently, continuous optimization plays an increasingly significant role in everyday management and technical decisions in science, engineering and commerce. The collection of 16 refereed papers in this book covers a diverse number of topics and provides a good picture of recent research in continuous optimization. The first part of the book presents substantive survey articles in a number of important topic areas of continuous optimization. Most of the papers in the second part present results on the theoretical aspects as well as numerical methods of continuous optimization. The papers in the third part are mainly concerned with applications of continuous optimization.
Construction of Mappings for Hamiltonian Systems and Their Applications
Based on the method of canonical transformation of variables and the classical perturbation theory, this innovative book treats the systematic theory of symplectic mappings for Hamiltonian systems and its application to the study of the dynamics and chaos of various physical problems described by Hamiltonian systems. It develops a new, mathematically-rigorous method to construct symplectic mappings which replaces the dynamics of continuous Hamiltonian systems by the discrete ones. Applications of the mapping methods encompass the chaos theory in non-twist and non-smooth dynamical systems, the structure and chaotic transport in the stochastic layer, the magnetic field lines in magnetically confinement devices of plasmas, ray dynamics in waveguides, etc. The book is intended for postgraduate students and researches, physicists and astronomers working in the areas of plasma physics, hydrodynamics, celestial mechanics, dynamical astronomy, and accelerator physics. It should also be useful for applied mathematicians involved in analytical and numerical studies of dynamical systems.
Concrete structures deteriorated by delayed ettringite formation and alkali-silica reactions
Discusses the behaviour of isolated concrete bottle-shaped struts affected by internal expansion reactions (ISR). For that purpose, the numerical modelling of damaged concrete was performed using the Concrete Damaged Plasticity Model (CDPM) implemented in ABAQUS and validated the model through Sankovich's tests.
CONCREEP 10 : Mechanics and physics of creep, shrinkage, and durability of concrete and concrete structures
Contains 187 papers invited on the basis of carefully peer-reviewed abstracts. It elucidates the intricacies of concrete, linking atomistic physics to real life civil engineering design. Topics include: microstructures and micromechanics; multiscale creep, shrinkage, fracture, and durability properties; constitutive and numerical modeling; simulation and design of concrete structures; molecular- to lab-scale simulations and characterization of concrete; macroscopic material testing; creep and shrinkage of concrete under extreme conditions; monitoring of concrete structures and exploitation of measurement data; and creep and shrinkage properties of new cementitious materials.
Concepts and Results in Chaotic Dynamics : A Short Course
The book is a good introduction to the field of dynamical systems with a particular emphasis on statistical properties and applications. In particular, the relations both with real experiments with numerical simulations are discussed. The book contains many figures that really help the understanding of the text. The book can be used as a text for an introductory course in dynamical systems
Conception optimale de structures = Optimal structural design
Optimal Structural Design deals with all aspects of shape optimization, parametric, geometric and topological, and gives a large place to numerical algorithms, gradient methods and stochastic methods (with an original contribution by Marc Schoenauer for this last point). In particular, most of the structural optimization algorithms have been implemented in the FreeFem ++ finite element software and the programs are freely available on the web. Optimal structural design is devoted to structural or shape optimization and is intended for a mixed audience of applied mathematicians and mechanicians. It discusses parametric, geometric and topology optimization and gives deterministic and stochastic numerical algorithms (implemented in the FreeFem ++ finite element software).
Computing the Electrical Activity in the Heart
This book describes mathematical models and numerical techniques for simulating the electrical activity in the heart. The book gives an introduction to the most important models of the field, followed by a detailed description of numerical techniques for the models. Particular focus is on efficient numerical methods for large scale simulations on both scalar and parallel computers.
Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models
Flow of ions through voltage gated channels can be represented theoretically using stochastic differential equations where the gating mechanism is represented by a Markov model. The flow through a channel can be manipulated using various drugs, and the effect of a given drug can be reflected by changing the Markov model. These lecture notes provide an accessible introduction to the mathematical methods needed to deal with these models. They emphasize the use of numerical methods and provide sufficient details for the reader to implement the models and thereby study the effect of various drugs. Examples in the text include stochastic calcium release from internal storage systems in cells, as well as stochastic models of the transmembrane potential. Well known Markov models are studied and a systematic approach to including the effect of mutations is presented.
Computer simulations in condensed matter : From materials to chemical biology ; Vol.2
This extensive and comprehensive collection of lectures by world-leading experts in the field introduces and reviews all relevant computer simulation methods and their applications in condensed matter systems. Volume 1, published as LNP 703 (ISBN 3-540-35270-8) is an in-depth introduction to a vast spectrum of computational techniques for statistical mechanical systems of condensed matter. It will enable the graduate student and both the specialist and nonspecialist researcher to get acquainted with the tools necessary to carry out numerical simulations at an advanced level. The present volume is a state-of-the-art survey on numerical experiments carried out for a great number of systems, ranging from materials sciences to chemical biology, such as supercooled liquids, spin glasses, colloids, polymers, liquid crystals, biological membranes and folding proteins.
Computer simulations in condensed matter : From materials to chemical biology ; Vol.1
This extensive and comprehensive collection of lectures by world-leading experts in the field introduces and reviews all relevant computer simulation methods and their applications in condensed matter systems. Volume 1 is an in-depth introduction to a vast spectrum of computational techniques for statistical mechanical systems of condensed matter. It will enable the graduate student and both the specialist and nonspecialist researcher to get acquainted with the tools necessary to carry out numerical simulations at an advanced level. Volume 2 published as LNP 704 (ISBN 3-540-35283-X) is a collection of state-of-the-art surveys on numerical experiments carried out for a great number of systems, ranging from materials sciences to chemical biology.
Computer Algebra Recipes for Mathematical Physics
Over two hundred novel and innovative computer algebra worksheets or ""recipes"" will enable readers in engineering, physics, and mathematics to easily and rapidly solve and explore most problems they encounter in their mathematical physics studies. While the aim of this text is to illustrate applications, a brief synopsis of the fundamentals for each topic is presented, the topics being organized to correlate with those found in traditional mathematical physics texts. The recipes are presented in the form of stories and anecdotes, a pedagogical approach that makes a mathematically challenging subject easier and more fun to learn.
Computer Algebra Recipes : An Introductory Guide to the Mathematical Models of Science
Computer algebra systems are revolutionizing the teaching, the learning, and the exploration of science. Not only can students and researchers work through mathematical models more efficiently and with fewer errors than with pencil and paper, they can also easily explore, both analytically and numerically, more complex and computationally intensive models. Aimed at science and engineering undergraduates at the sophomore/junior level, this introductory guide to the mathematical models of science is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, mathematics, physics, and chemistry.
Computer algebra in scientific computing ; Vol. 3718 ; 8th International workshop, CASC 2005, Kalamata, Greece, September 12-16, 2005, Proceedings
This volume contains the proceedings of the CASC 2005 continued a tradition — started in 1998 — of international con-ferences on the latest advances in the application of computer algebra systems(CASs) and methods to the solution of various problems in scientific computing.The methods of scientific computing play an important role in research andengineering applications in the natural and the engineering sciences. The signif-icance and impact of computer algebra methods and computer algebra systemsfor scientific computing has increased considerably in recent times. Nowadays,such general-purpose computer algebra systems as Maple, Magma, Mathematica,MuPAD, Singular, CoCoA and others enable their users to solve the followingthree important tasks within a uniform framework:(a) symbolic manipulation;(b) numerical computation;(c) visualization. The result of this job is reflected in this volume, which contains revised versionsof the accepted papers. The collection of papers included in the proceedingscovers various topics of computer algebra methods, algorithms, and softwareapplied to scientific computing:
Computer algebra in scientific computing ; 23rd International Workshop, CASC 2021, Sochi, Russia, September 13–17, 2021, Proceedings
This book constitutes the proceedings of the 23rd International Workshop on Computer Algebra in Scientific Computing, CASC 2021, held in Sochi, Russia, in September 2021. The 24 full papers presented together with 1 invited talk were carefully reviewed and selected from 40 submissions. The papers cover theoretical computer algebra and its applications in scientific computing.
Computer algebra in scientific computing ; 22nd International Workshop, CASC 2020, Linz, Austria, September 14–18, 2020, Proceedings
This book constitutes the refereed proceedings of the 22nd International Workshop on Computer Algebra in Scientific Computing, CASC 2020, held in Linz, Austria, in September 2020. The conference was held virtually due to the COVID-19 pandemic. The 34 full papers presented together with 2 invited talks were carefully reviewed and selected from 41 submissions. They deal with cutting-edge research in all major disciplines of computer algebra. The papers cover topics such as polynomial algebra, symbolic and symbolic-numerical computation, applications of symbolic computation for investigating and solving ordinary differential equations, applications of CAS in the investigation and solution of celestial mechanics problems, and in mechanics, physics, and robotics.
