Introduction to Numerical Geodynamic Modelling, Taras Gerya
Старое издание
Автор: Edsberg Lennart Название: Introduction to Computation and Modeling for Differential Eq ISBN: 1119018447 ISBN-13(EAN): 9781119018445 Издательство: Wiley Рейтинг: Цена: 13614.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Uses mathematical, numerical, and programming tools to solve differential equations for physical phenomena and engineering problems
Introduction to Computation and Modeling for Differential Equations, Second Edition features the essential principles and applications of problem solving across disciplines such as engineering, physics, and chemistry. The Second Edition integrates the science of solving differential equations with mathematical, numerical, and programming tools, specifically with methods involving ordinary differential equations; numerical methods for initial value problems (IVPs); numerical methods for boundary value problems (BVPs); partial differential equations (PDEs); numerical methods for parabolic, elliptic, and hyperbolic PDEs; mathematical modeling with differential equations; numerical solutions; and finite difference and finite element methods.
The author features a unique "Five-M" approach: Modeling, Mathematics, Methods, MATLAB(R), and Multiphysics, which facilitates a thorough understanding of how models are created and preprocessed mathematically with scaling, classification, and approximation and also demonstrates how a problem is solved numerically using the appropriate mathematical methods. With numerous real-world examples to aid in the visualization of the solutions, Introduction to Computation and Modeling for Differential Equations, Second Edition includes:
New sections on topics including variational formulation, the finite element method, examples of discretization, ansatz methods such as Galerkin's method for BVPs, parabolic and elliptic PDEs, and finite volume methods
Numerous practical examples with applications in mechanics, fluid dynamics, solid mechanics, chemical engineering, heat conduction, electromagnetic field theory, and control theory, some of which are solved with computer programs MATLAB and COMSOL Multiphysics(R)
Additional exercises that introduce new methods, projects, and problems to further illustrate possible applications
A related website with select solutions to the exercises, as well as the MATLAB data sets for ordinary differential equations (ODEs) and PDEs
Introduction to Computation and Modeling for Differential Equations, Second Edition is a useful textbook for upper-undergraduate and graduate-level courses in scientific computing, differential equations, ordinary differential equations, partial differential equations, and numerical methods. The book is also an excellent self-study guide for mathematics, science, computer science, physics, and engineering students, as well as an excellent reference for practitioners and consultants who use differential equations and numerical methods in everyday situations.
Автор: Schiesser William E Название: Method Of Lines Analysis Of Turing Models ISBN: 9813226692 ISBN-13(EAN): 9789813226692 Издательство: World Scientific Publishing Рейтинг: Цена: 12197.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book is directed toward the numerical integration (solution) of a system of partial differential equations (PDEs) that describes a combination of chemical reaction and diffusion, that is, reaction-diffusion PDEs. The particular form of the PDEs corresponds to a system discussed by Alan Turing and is therefore termed a Turing model.
Specifically, Turing considered how a reaction-diffusion system can be formulated that does not have the usual smoothing properties of a diffusion (dispersion) system, and can, in fact, develop a spatial variation that might be interpreted as a form of morphogenesis, so he termed the chemicals as morphogens.
Turing alluded to the important impact computers would have in the study of a morphogenic PDE system, but at the time (1952), computers were still not readily available. Therefore, his paper is based on analytical methods. Although computers have since been applied to Turing models, computer-based analysis is still not facilitated by a discussion of numerical algorithms and a readily available system of computer routines.
The intent of this book is to provide a basic discussion of numerical methods and associated computer routines for reaction-diffusion systems of varying form. The presentation has a minimum of formal mathematics. Rather, the presentation is in terms of detailed examples, presented at an introductory level. This format should assist readers who are interested in developing computer-based analysis for reaction-diffusion PDE systems without having to first study numerical methods and computer programming (coding).
The numerical examples are discussed in terms of: (1) numerical integration of the PDEs to demonstrate the spatiotemporal features of the solutions and (2) a numerical eigenvalue analysis that corroborates the observed temporal variation of the solutions. The resulting temporal variation of the 2D and 3D plots demonstrates how the solutions evolve dynamically, including oscillatory long-term behavior.
In all of the examples, routines in R are presented and discussed in detail. The routines are available through this link so that the reader can execute the PDE models to reproduce the reported solutions, then experiment with the models, including extensions and application to alternative models.
Автор: Nikolay V. Banichuk, Svetlana Yu. Ivanova Название: Optimal Structural Design: Contact Problems and High-Speed Penetration ISBN: 3110530805 ISBN-13(EAN): 9783110530803 Издательство: Walter de Gruyter Цена: 18586.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This monograph studies optimization problems for rigid punches in elastic media and for high-speed penetration of rigid strikers into deformed elastoplastic, concrete, and composite media using variational calculations, tools from functional analysis, and stochastic and min-max (guaranteed) optimization approaches with incomplete data. The book presents analytical and numerical results developed by the authors during the last ten years.
Contents Part I: Quasi-statics of contact interaction Optimal contact pressure and optimal punch shape Influence of forces applied outside contact region Shape optimization of punch moving with friction Optimization in contact problems under incomplete data Application of probabilistic data Minimization of material wear Multiobjective optimization of contact pressure, wear of material, and energy dissipation
Part II: High-speed penetration into deformable medium Optimization of impactor shape Strikers of nonaxisymmetric optimal shape Multiobjective optimization of rigid shell Optimization of truncated rotating strikers Penetration into solid medium under strength constraints Some problems of global multipurpose structural optimization Analytical and numerical estimations of optimal parameters of layered slab Striker shape optimization using condition of minimal ballistic limit velocity for layered slabs
Part III: Appendices Nonadditive functionals and extremum conditions Multivariant estimation of functionals and their sensitivity Basic ideas of multicriteria optimization Evolutionary algorithm of global optimization
Автор: Sergey I. Martynenko Название: The Robust Multigrid Technique: For Black-Box Software ISBN: 3110537559 ISBN-13(EAN): 9783110537550 Издательство: Walter de Gruyter Цена: 18586.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book presents a detailed description of a robust pseudomultigrid algorithm for solving (initial-)boundary value problems on structured grids in a black-box manner. To overcome the problem of robustness, the presented Robust Multigrid Technique (RMT) is based on the application of the essential multigrid principle in a single grid algorithm. It results in an extremely simple, very robust and highly parallel solver with close-to-optimal algorithmic complexity and the least number of problem-dependent components. Topics covered include an introduction to the mathematical principles of multigrid methods, a detailed description of RMT, results of convergence analysis and complexity, possible expansion on unstructured grids, numerical experiments and a brief description of multigrid software, parallel RMT and estimations of speed-up and efficiency of the parallel multigrid algorithms, and finally applications of RMT for the numerical solution of the incompressible Navier Stokes equations. Potential readers are graduate students and researchers working in applied and numerical mathematics as well as multigrid practitioners and software programmers.
Contents Introduction to multigrid Robust multigrid technique Parallel multigrid methods Applications of multigrid methods in computational fluid dynamics
Features an authentic and engaging approach to mathematical modeling driven by real-world applications
With a focus on mathematical models based on real and current data, Models for Life: An Introduction to Discrete Mathematical Modeling with Microsoft(R) Office Excel(R) guides readers in the solution of relevant, practical problems by introducing both mathematical and Excel techniques.
The book begins with a step-by-step introduction to discrete dynamical systems, which are mathematical models that describe how a quantity changes from one point in time to the next. Readers are taken through the process, language, and notation required for the construction of such models as well as their implementation in Excel. The book examines single-compartment models in contexts such as population growth, personal finance, and body weight and provides an introduction to more advanced, multi-compartment models via applications in many areas, including military combat, infectious disease epidemics, and ranking methods. Models for Life: An Introduction to Discrete Mathematical Modeling with Microsoft(R) Office Excel(R) also features:
A modular organization that, after the first chapter, allows readers to explore chapters in any order
Numerous practical examples and exercises that enable readers to personalize the presented models by using their own data
Carefully selected real-world applications that motivate the mathematical material such as predicting blood alcohol concentration, ranking sports teams, and tracking credit card debt
References throughout the book to disciplinary research on which the presented models and model parameters are based in order to provide authenticity and resources for further study
Relevant Excel concepts with step-by-step guidance, including screenshots to help readers better understand the presented material
Both mathematical and graphical techniques for understanding concepts such as equilibrium values, fixed points, disease endemicity, maximum sustainable yield, and a drug's therapeutic window
A companion website that includes the referenced Excel spreadsheets, select solutions to homework problems, and an instructor's manual with solutions to all homework problems, project ideas, and a test bank
The book is ideal for undergraduate non-mathematics majors enrolled in mathematics or quantitative reasoning courses such as introductory mathematical modeling, applications of mathematics, survey of mathematics, discrete mathematical modeling, and mathematics for liberal arts. The book is also an appropriate supplement and project source for honors and/or independent study courses in mathematical modeling and mathematical biology.
Jeffrey T. Barton, PhD, is Professor of Mathematics in the Mathematics Department at Birmingham-Southern College. A member of the American Mathematical Society and Mathematical Association of America, his mathematical interests include approximation theory, analytic number theory, mathematical biology, mathematical modeling, and the history of mathematics.
Описание: A solutions manual to accompany An Introduction to Discrete Mathematical Modeling with Microsoft(R) Office Excel(R)
With a focus on mathematical models based on real and current data, Models for Life: An Introduction to Discrete Mathematical Modeling with Microsoft(R) Office Excel(R)guides readers in the solution of relevant, practical problems by introducing both mathematical and Excel techniques.
The book begins with a step-by-step introduction to discrete dynamical systems, which are mathematical models that describe how a quantity changes from one point in time to the next. Readers are taken through the process, language, and notation required for the construction of such models as well as their implementation in Excel. The book examines single-compartment models in contexts such as population growth, personal finance, and body weight and provides an introduction to more advanced, multi-compartment models via applications in many areas, including military combat, infectious disease epidemics, and ranking methods. Models for Life: An Introduction to Discrete Mathematical Modeling with Microsoft(R) Office Excel(R) also features:
A modular organization that, after the first chapter, allows readers to explore chapters in any order
Numerous practical examples and exercises that enable readers to personalize the presented models by using their own data
Carefully selected real-world applications that motivate the mathematical material such as predicting blood alcohol concentration, ranking sports teams, and tracking credit card debt
References throughout the book to disciplinary research on which the presented models and model parameters are based in order to provide authenticity and resources for further study
Relevant Excel concepts with step-by-step guidance, including screenshots to help readers better understand the presented material
Both mathematical and graphical techniques for understanding concepts such as equilibrium values, fixed points, disease endemicity, maximum sustainable yield, and a drug's therapeutic window
A companion website that includes the referenced Excel spreadsheets, select solutions to homework problems, and an instructor's manual with solutions to all homework problems, project ideas, and a test bank
Автор: T. Michael Duncan, Jeffrey A. Reimer Название: Chemical Engineering Design and Analysis: An Introduction ISBN: 1108421474 ISBN-13(EAN): 9781108421478 Издательство: Cambridge Academ Рейтинг: Цена: 13147.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introducing the principles and practices of design and analysis in chemical engineering, this textbook teaches students to apply three vital analytical skills - mathematical modelling, graphical modelling, and dynamic scaling - in the contexts of modern chemical processes such as the hydrogen economy, petrochemical processes, and pharmaceuticals.
Автор: Warnick, Karl F. (brigham Young University, Utah) Maaskant, Rob (chalmers University Of Technology, Gothenberg) Ivashina, Marianna V. (chalmers Univer Название: Phased arrays for radio astronomy, remote sensing, and satellite communications ISBN: 1108423922 ISBN-13(EAN): 9781108423922 Издательство: Cambridge Academ Рейтинг: Цена: 18216.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Discover a modern approach to the analysis and design of high sensitivity phased arrays for radio astronomy, remote sensing and satellite communications applications with this unique text. It covers the latest numerical methods and computational modeling tools, including beamforming, digital signal processing, and interferometric imaging.
Описание: The mathematical modelling of the human cardiovascular system, from patient data to clinical applications, is discussed in this book. It gives researchers an overview of the main differential problems underlying the physiology and pathology of the cardiovascular system, as well as rigorous numerical methods for large-scale computation.
Описание: Presents a cross-section of research in the field of computational earthquake physics. This book includes works on microphysics of rupture and fault constitutive laws, and dynamic rupture, wave propagation and strong ground motion. It covers earthquake cycles, crustal deformation, and seismicity change and its physical interpretation.
Описание: Presents a cross-section of research in the field of computational earthquake physics. This book includes works on microphysics of rupture and fault constitutive laws, and dynamic rupture, wave propagation and ground motion. It covers earthquake cycles, crustal deformation, plate dynamics, and seismicity change and its physical interpretation.
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