Mathematical and Numerical Modeling of the Cardiovascular System and Applications, Daniele Boffi; Luca F. Pavarino; Gianluigi Rozza;
Автор: Alfio Quarteroni, Luca Dede`, Andrea Manzoni, Christian Vergara Название: Mathematical Modelling of the Human Cardiovascular System: Data, Numerical Approximation, Clinical Applications ISBN: 110848039X ISBN-13(EAN): 9781108480390 Издательство: Cambridge Academ Рейтинг: Цена: 88710.00 T Наличие на складе: Поставка под заказ. 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.
Автор: Hiroaki Morimoto Название: Stochastic Control and Mathematical Modeling Applications in Economics ISBN: 0521195039 ISBN-13(EAN): 9780521195034 Издательство: Cambridge Academ Рейтинг: Цена: 135170.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This concise and elementary introduction to stochastic control and mathematical modelling is designed for researchers in stochastic control theory studying its application in mathematical economics, and for interested economics researchers. Also suitable for graduate students in applied mathematics, mathematical economics, and non-linear PDE theory.
Автор: Rainey Larry B., Tolk Andreas Название: Modeling and Simulation Support for System of Systems Engineering Applications ISBN: 1118460316 ISBN-13(EAN): 9781118460313 Издательство: Wiley Рейтинг: Цена: 128780.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: . a much-needed handbook with contributions from well-chosen practitioners.
Автор: Massimo Capoccia, Claudio De Lazzari Название: Concepts, Mathematical Modelling and Applications in Heart Failure ISBN: 1536147710 ISBN-13(EAN): 9781536147711 Издательство: Nova Science Рейтинг: Цена: 215410.00 T Наличие на складе: Невозможна поставка. Описание: Although there are probably enough publications about mechanical circulatory support, they do not seem to address the theoretical aspects with sufficient details. A more detailed knowledge of the interaction between ventricular assist devices (VADs) and the cardiovascular system may help with their clinical management with a view to improve patients outcomes.The aim is a different approach based on the development of critical thinking that may generate further ideas in the context of current developments. We must understand the time-varying elastance theory, which has played a key role in cardiovascular modelling and is often used for numerical/hybrid simulations of a mechanically supported left ventricle. The limitations of the original concept have led to further modifications of the theory and alternative approaches worth exploring. Ventricular interactions have significant implications in cardiac mechanics and it is extremely important to understand their role during VAD support. We must understand the physiology of VAD support and their connection to the circulation. Aortic valve physiology during support with rotary blood pumps has important implications on device performance. The modelling approach to pneumatic pulsatile VADs and their current role is addressed. The principles behind magnetic levitation technology are explained in details in view of its contribution to the progress in this field. Trans-cutaneous external transmission energy system technology has great potential, but the physics behind it does not get explained enough. The potential of a simulation approach in the clinical environment is discussed in relation to optimization of device treatment, outcome prediction and training of medical and nursing staff. These are some of the key concepts being addressed in this book which biomedical engineers, clinicians and academics should hopefully find educational and helpful according to their needs.VADs have become the standard of care for patients in advanced heart failure, but we must understand their strengths and limitations in order to make further progress and achieve their full potential.
"This book is suitable as a textbook for an introductory undergraduate mathematics course on discrete Fourier and wavelet transforms for students with background in calculus and linear algebra. The particular strength of this book is its accessibility to students with no background in analysis. The exercises and computer explorations provide the reader with many opportunities for active learning. Studying from this text will also help students strengthen their background in linear algebra."
Mathematical Association of America
This textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis.
It explains how to use the Fourier matrix to extract frequency information from a digital signal and how to use circulant matrices to emphasize selected frequency ranges. It introduces discrete wavelet transforms for digital signals through the lifting method and illustrates through examples and computer explorations how these transforms are used in signal and image processing. Then the general theory of discrete wavelet transforms is developed via the matrix algebra of two-channel filter banks. Finally, wavelet transforms for analog signals are constructed based on filter bank results already presented, and the mathematical framework of multiresolution analysis is examined.
"This book is suitable as a textbook for an introductory undergraduate mathematics course on discrete Fourier and wavelet transforms for students with background in calculus and linear algebra. The particular strength of this book is its accessibility to students with no background in analysis. The exercises and computer explorations provide the reader with many opportunities for active learning. Studying from this text will also help students strengthen their background in linear algebra."
Mathematical Association of America
This textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis.
It explains how to use the Fourier matrix to extract frequency information from a digital signal and how to use circulant matrices to emphasize selected frequency ranges. It introduces discrete wavelet transforms for digital signals through the lifting method and illustrates through examples and computer explorations how these transforms are used in signal and image processing. Then the general theory of discrete wavelet transforms is developed via the matrix algebra of two-channel filter banks. Finally, wavelet transforms for analog signals are constructed based on filter bank results already presented, and the mathematical framework of multiresolution analysis is examined.
Автор: Boling Guo, Lixin Tian, Zhenya Yan, Liming Ling, Название: Rogue Waves: Mathematical Theory and Applications in Physics ISBN: 3110469421 ISBN-13(EAN): 9783110469424 Издательство: Walter de Gruyter Рейтинг: Цена: 148700.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book gives an overview of the theoretical research on rogue waves and discusses solutions to rogue wave formation via the Darboux and bilinear transformations, algebro-geometric reduction, and inverse scattering and similarity transformations. Studies on nonlinear optics are included, making the book a comprehensive reference for researchers in applied mathematics, optical physics, geophysics, and ocean engineering. ContentsThe Research Process for Rogue WavesConstruction of Rogue Wave Solution by the Generalized Darboux TransformationConstruction of Rogue Wave Solution by Hirota Bilinear Method, Algebro-geometric Approach and Inverse Scattering MethodThe Rogue Wave Solution and Parameters Managing in Nonautonomous Physical Model
Автор: Karl K. Sabelfeld, Nikolai A. Simonov Название: Stochastic Methods for Boundary Value Problems: Numerics for High-dimensional PDEs and Applications ISBN: 3110479060 ISBN-13(EAN): 9783110479065 Издательство: Walter de Gruyter Рейтинг: Цена: 123910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph is devoted to random walk based stochastic algorithms for solving high-dimensional boundary value problems of mathematical physics and chemistry. It includes Monte Carlo methods where the random walks live not only on the boundary, but also inside the domain. A variety of examples from capacitance calculations to electron dynamics in semiconductors are discussed to illustrate the viability of the approach.The book is written for mathematicians who work in the field of partial differential and integral equations, physicists and engineers dealing with computational methods and applied probability, for students and postgraduates studying mathematical physics and numerical mathematics. Contents: IntroductionRandom walk algorithms for solving integral equationsRandom walk-on-boundary algorithms for the Laplace equationWalk-on-boundary algorithms for the heat equationSpatial problems of elasticityVariants of the random walk on boundary for solving stationary potential problemsSplitting and survival probabilities in random walk methods and applicationsA random WOS-based KMC method for electron-hole recombinationsMonte Carlo methods for computing macromolecules properties and solving related problemsBibliography
Автор: Tom?s Chac?n Rebollo; Roger Lewandowski Название: Mathematical and Numerical Foundations of Turbulence Models and Applications ISBN: 1493951750 ISBN-13(EAN): 9781493951758 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph provides a detailed look at eddy viscosity models from theoretical and numerical angles. In particular, it gives a rigorous derivation of these models and shows through careful analysis how they can be applied to oceanic and atmospheric flows.
Автор: Michal Kr?zek; Pekka Neittaanm?ki Название: Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications ISBN: 0792342496 ISBN-13(EAN): 9780792342496 Издательство: Springer Рейтинг: Цена: 181630.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Mathematical and numerical analysis of several important technical problems arising in electrical engineering are offered in this text, such as computation of magnetic and electric field, nonlinear heat conduction and heat radiation, and semiconductor equations.
Автор: Rajesh Kumar Gupta Название: Numerical Methods: Fundamentals and Applications ISBN: 1108716008 ISBN-13(EAN): 9781108716000 Издательство: Cambridge Academ Рейтинг: Цена: 77090.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Written in a lucid manner, this textbook gives an in-depth discussion of basic and advanced concepts of numerical methods. C programming codes are included in the textbook for better understanding of concepts. Pedagogical features including solved examples and unsolved exercises are interspersed throughout the book for better understanding.
Автор: Younes Salehi, William E. Schiesser Название: Numerical Integration of Space Fractional Partial Differential Equations, Volume 2: Applications from Classical Integer PDEs ISBN: 1681732092 ISBN-13(EAN): 9781681732091 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 82230.00 T Наличие на складе: Поставка под заказ. Описание: Partial differential equations are one of the most used widely forms of mathematics in science and engineering. Two fractional PDEs can be considered, fractional in time, and fractional in space. This volume is directed to the development and use of SFPDEs, providing a discussion of applications from classical integer PDEs.
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