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Pyomo — Optimization Modeling in Python
Illustrates the different techniques useful for formulating models, this text beautifully elucidates the breadth of modeling capabilities that are supported by Pyomo and its handling of complex real-world applications. In the third edition, much of the material has been reorganized, new examples have been added, and a new chapter has been added describing how modelers can improve the performance of their models. The authors have also modified their recommended method for importing Pyomo. A big change in this edition is the emphasis of concrete models, which provide fewer restrictions on the specification and use of Pyomo models.
Public Interest and Private Enterprize : New Developments : Theoretical Results and Numerical Algorithms
This book deals with the effect of public and semi-public companies on economy. In traditional economic models, several private companies – interested in maximizing their profit – interact (e.g., compete) with each other. Such models help to avoid wild oscillation in production and prices (typical for uncontrolled competition), and to come up with a stable equilibrium solution. The problems become very complex if we take into account the presence of public and semi-public companies – that are interested in public good as well as in the profit. The book contains theoretical results and numerical techniques for computing resulting equilibria. As a case study, it considers the problem of selecting optimal tolls for the public roads – tolls that best balance the public good and the need to recover the cost of building the roads. It is recommended to specialists in economics as well as to students interested in learning the corresponding economic models.
Pseudo-Differential Operators : Quantization and Signals
Pseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century.
Progress in Turbulence 2 ; Proceedings of the iTi Conference in Turbulence 2005
Besides turbulence there is hardly any other scientific topic which has been considered as a prominent scientific challenge for such a long time. The special interest in turbulence is not only based on it being a difficult scientific problem but also on its meaning in the technical world and our daily life. This carefully edited book comprises recent basic research as well as research related to the applications of turbulence. Therefore, both leading engineers and physicists working in the field of turbulence were invited to the iTi Conference on Turbulence held in Bad Zwischenahn, Gemany 25th - 28th of September 2005. Discussed topics include, for example, scaling laws and intermittency, thermal convection, boundary layers at large Reynolds numbers, isotropic turbulence, stochastic processes, passive and active scalars, coherent structures, numerical simulations, and related subjects.
Progress in Industrial Mathematics at ECMI 2006
ECMI is synonymous with European Mathematics for Industry and organizes successful biannual conferences. The 14th European Conference for Mathematics in Industry held in Leganés (Madrid) focused on Aerospace, Information and Communications, Materials, Energy and Environment, Imaging, Biology and Biotechnology, Life Sciences, Finances and other topics including Education in Industrial Mathematics and web learning. Attendees came from all over the world. Overall, these proceedings give a lively overview of the importance of mathematical modeling, analysis and numerical methods when addressing and solving problems from today’s real world applications.
Progress in Industrial Mathematics at ECMI 2004
It focused on Aerospace, Electronic Industry, Chemical Technology, Life Sciences, Materials, Geophysics, Financial Mathematics and Water flow. The majority of the invited talks on these topics can be found in these proceedings.
Programming for Computations - Python : A Gentle Introduction to Numerical Simulations with Python 3.6
This book presents computer programming as a key method for solving mathematical problems. This second edition of the well-received book has been extensively revised: All code is now written in Python version 3.6 (no longer version 2.7). In addition, the two first chapters of the previous edition have been extended and split up into five new chapters, thus expanding the introduction to programming from 50 to 150 pages. Throughout the book, the explanations provided are now more detailed, previous examples have been modified, and new sections, examples and exercises have been added. Also, a number of small errors have been corrected.
Programming for Computations - Python : A Gentle Introduction to Numerical Simulations with Python
This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.
Programming for Computations - MATLAB/Octave : A Gentle Introduction to Numerical Simulations with MATLAB/Octave
This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.
Proceedings of the Conference on Applied Mathematics and Scientific Computing
Brings together papers presenting results covering areas of applied mathematics and scientific computing. This work offers presentations in the fields of numerical linear algebra, shape preserving approximation and singular perturbation theory. It includes an overview of numerical solutions to skew-Hamiltonian and Hamiltonian eigenvalue problems.
Proceedings of the 5th International Conference on Numerical Modelling in Engineering ; Vol.1 : Numerical Modelling in Civil Engineering, NME 2022, 23-24 August, Ghent University, Belgium
Covers numerical simulations with industrial civil engineering applications such as bridges and dams, cyclic loading, fluid dynamics, structural mechanics, geotechnical engineering, thermal analysis, reinforced concrete structures, steel structures, and composite structures.
Proceedings of the 17th international meshing roundtable
This volume contains the articles presented at the 17th International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and held October 12-15, 2008 in Pittsburgh, PA, USA. Each year the IMR brings together researchers, developers, and application experts, from a variety of disciplines, to present and discuss ideas on mesh generation and related topics. The topics covered by the IMR have applications in numerical analysis, computational geometry, computer graphics, as well as other areas, and the presentations describe novel work ranging from theory to application.
Proceedings of the 16th international meshing roundtable ; 1st ed.
This volume contains the articles presented at the 16th International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and held in Seattle, Washington, U.S.A. in October, 2007. Each year the IMR brings together researchers, developers, and application experts, from a variety of disciplines, to present and discuss ideas on mesh generation and related topics. The topics covered by the IMR have applications in numerical analysis, computational geometry, computer graphics, as well as other areas, and the presentations describe novel work ranging from theory to application.
Principles of hyperplasticity : An approach to plasticity theory based on thermodynamic principles
Principles of Hyperplasticity is concerned with the theoretical modelling of the behaviour of solids which undergo nonlinear and irreversible deformation. The approach to plasticity theory developed here is firmly rooted in thermodynamics, so that the models developed are guaranteed to obey the First and Second Laws. Major emphasis is placed on the use of potentials, and the derivation of constitutive models for irreversible behaviour entirely from two scalar potentials is shown. It is to accentuate this feature that the authors use the term "hyperplasticity", by analogy with the use of "hyperelasticity" in elasticity theory.
Premiers pas en simulation = First steps in simulation
Why simulation techniques? Simulation methods, designed for use in statistics and operations research, have experienced and continue to develop rapidly due to the extraordinary evolution of computers. Applications are found in industry and in economics, or even social sciences, in particle physics, in astronomy and in many other fields. In many situations, whether in everyday life or in scientific research, the researcher is faced with problems which he seeks solutions on the basis of certain initial assumptions and constraints. To solve this type of problem, there exist analytical methods applicable to situations where the model makes it possible to treat the di? Erent variables by mathematically manageable equations, and numerical methods where the complexity of the model imposes a fragmentation of the problem, in particular by the identification of the various variables which come into play and the study of their interactions. This last approach is often accompanied by a large mass of calculations. Simulation techniques are numerical techniques: to simulate a phenomenon essentially means to carefully reconstruct its evolution.
Practical Optimization : Algorithms and Engineering Applications
Practical Optimization: Algorithms and Engineering Applications provides a hands-on treatment of the subject of optimization. A comprehensive set of problems and exercises makes the book suitable for use in one or two semesters of a first-year graduate course or an advanced undergraduate course. Each half of the book contains a full semester’s worth of complementary yet stand-alone material. The practical orientation of the topics chosen and a wealth of useful examples also make the book suitable as a reference work for practitioners in the field. Advancements in the efficiency of digital computers and the evolution of reliable software for numerical computation during the past three decades have led to a rapid growth in the theory, methods, and algorithms of numerical optimization. This body of knowledge has motivated widespread applications of optimization methods in many disciplines, e.g., engineering, business, and science, and has subsequently led to problem solutions that were considered intractable not too long ago.
Polarization Mode Dispersion
This book contains a series of tutorial essays on polarization mode dispersion (PMD) by the leading experts in the field. It starts with an introductory review of the basic concepts and continues with more advanced topics, including a thorough review of PMD mitigation techniques. Topics covered include mathematical representation of PMD, how to properly model PMD in numerical simulations, how to accurately measure PMD and other related polarization effects, and how to infer fiber properties from polarization measurements. It includes discussions of other polarization effects such as polarization-dependent loss and the interaction of PMD with fiber nonlinearity. It additionally covers systems issues like the impact of PMD on wavelength division multiplexed systems. This book is intended for research scientists or engineers who wish to become familiar with PMD and its system impacts.
Polarization and Moment Tensors : With Applications to Inverse Problems and Effective Medium Theory
Presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. The methods involved come from various areas of pure and applied mathematics, such as potential theory, PDEs, complex analysis, and numerical methods. The unifying thread in this book is the use of generalized polarization and moment tensors.The main approach is based on modern layer potential techniques. By augmenting the theory with interesting practical examples and numerical illustrations.
Points fixes, zéros et la méthode de Newton = Fixed points, zeros and Newton's method
This work is devoted to the fixed points of differentiable applications, to the zeros of non-linear systems and to Newton's method. It is aimed at masters students or preparing for the aggregation of mathematics and confirmed researchers. The first part is devoted to the method of successive approximations and confronts a “dynamical systems” point of view (Grobman-Hartman theorems, of the stable manifold) with examples resulting from numerical analysis. The second part of this work presents Newton's method and its most recent developments (Smale's alpha theory, under- or over-determined systems). It presents a new approach to this subject and a set of original results published for the first time in a French-language work. This is an advanced text on fixed points, zeros of nonlinear systems and the Newton method. Its first part, devoted to fixed points, includes the Grobman-Hartman and the stable manifold theorems. The second part describes the Newton method from a modern point of view: Smale's alpha theory, underdetermined and overdetermined systems of equations. These results are illustrated by various examples from numerical analysis.
Plasticity and Geotechnics
Summarizes and presents, in one volume, the major developments achieved to date in the field of plasticity theory for geotechnical materials and its applications to geotechnical analysis and design. In its thorough, comprehensive treatment of the subject, the book covers classical, recent, and modern developments of appropriate constitutive theories of stress-strain relations for geomaterials and a wide range of analytical and computational techniques that are available for solving geotechnical design problems. The emphasis is on key concepts behind the most useful theoretical developments, the inter-relation of these concepts, and their implementation in numerical procedures for solving practical problems in geotechnical engineering.
