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Uses a principle-based modeling approach and analysis of feedback control regulation to elucidate the physiological relationships. Models are arranged around specific questions or conditions, such as exercise or sleep transition, and are generally based on physiological mechanisms rather than on formal descriptions of input-output behaviour.
This is the only book that teaches all aspects of modern mathematical modeling.
Computational Methods for Multiphase Flows in Porous Media offers a fundamental and practical introduction to the use of computational methods.
Offers a rare blend of linear algebra, convex analysis, and statistics. Since the book's initial publication in 1993, readers have used its methods to derive optimal designs on the circle, optimal mixture designs, and optimal designs in other statistical models.
This book organizes the analysis and design of iterative numerical methods from a control perspective.
Contains examples from a wide variety of fields adapted from real-world applications and data with easy-to-follow, step-by-step instructions. The book is front loaded, so potential analysis of means users can find solutions to standard problems in the first five chapters.
With an up-to-date summary of methods used to construct confidence intervals in normal-based random and mixed analysis of variance (ANOVA) models, this comprehensive book will be useful to scientists in all fields of application who wish to construct interval estimates for ANOVA model parameters.
Provides a blend of undergraduate- and graduate-level topics in matrix theory and linear algebra that relieves instructors of the burden of reviewing such material in subsequent courses that depend heavily on the language of matrices.
This book allows you to understand fully the modern tools of numerical analysis in finance.
This book investigates automata networks as algebraic structures and develops their theory in line with other algebraic theories.
Provides an introduction to the vast subject of initial and initial-boundary value problems for PDEs. Applications to parabolic and hyperbolic systems are emphasized in this text. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results.
This is the first book devoted to the full scale of applications of stochastic programming and also the first to provide access to publicly available algorithmic systems. It introduces the power of stochastic programming to a wider audience and demonstrates the application areas where this approach is superior to other modeling approaches.
The first comprehensive treatment of numerical polynomial algebra, an emerging area that falls between classical numerical analysis and classical computer algebra and which has received surprisingly little attention so far.
This collection presents recent results in the areas of theoretical and computational sides of integer programming and combinatorial optimization.
Provides the reader with a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems. It also addresses specialized topics such as image reconstruction, parameter identification, total variation methods, nonnegativity constraints, and regularization parameter selection methods.
Presents current research trends in the field of underwater acoustic wave direct and inverse problems. It is the first to investigate inverse problems in an ocean environment, with emphasis placed on the description and resolution of the forward scattering problem.
Numerical continuation methods have provided important contributions toward the numerical solution of nonlinear systems of equations for many years. This book, originally published in 1979, was the first book to provide easy access to the numerical aspects of predictor corrector continuation and piecewise linear continuation methods.
Probabilists and fuzzy enthusiasts tend to disagree about which philosophy is best. As a result, textbooks usually suggest only one of these methods for problem solving, but not both. This book is an exception - it provides a practical guide showing that both fuzzy logic and probability have their place in the world of problem solving.
This book introduces mathematicians to real applications from physiology.
Provides a comprehensive, tutorial-style introduction to the algorithms for reconstructing cross-sectional images from projection data and contains a complete overview of the engineering and signal processing algorithms necessary for tomographic imaging.
The only book that details the mathematical models that help creditors make intelligent credit risk decisions.
This concise, readable book provides a sampling of the very large, active, and expanding field of artificial neural network theory. It considers select areas of discrete mathematics linking combinatorics and the theory of the simplest types of artificial neural networks.
A study of the art and science of solving elliptic problems numerically, with an emphasis on problems that have important scientific and engineering applications, and that are solvable at moderate cost on computing machines.
This is the only book on spectral methods built around MATLAB programs. This hands-on introduction is built around 40 short and powerful MATLAB programs, which are all available online. This book presents the key ideas along with many figures, examples, and short, elegant MATLAB programs for readers to adapt to their own needs.
Gives a thorough exposition of network spanners and other locality-preserving network representations such as sparse covers and partitions.
An overview of modern computational stabilization methods for linear inversion: applications to audio processing, medical imaging, seismology and other areas.
Presents the mathematical knowledge needed in order to understand the art of computing eigenvalues of real symmetric matrices,
Contains a broad selection of case studies written by professionals in the semiconductor industry that illustrate the use of statistical methods to improve manufacturing processes. These case studies offer engineers, scientists, technicians, and managers numerous examples of best-in-class practices by their peers.
Designed for use by first-year graduate students from a variety of engineering and scientific disciplines, this comprehensive textbook covers the solution of linear systems, least squares problems, eigenvalue problems, and the singular value decomposition.
Provides a comprehensive discussion of computational integration methods and the fundamental mathematical principles they are based on, with special coverage of many recent developments such as parallel integration algorithms, that have not yet been coherently presented in any other textbook.
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