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.
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: . a much-needed handbook with contributions from well-chosen practitioners.
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: 22305.00 р. 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
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: Rajesh Kumar Gupta Название: Numerical Methods: Fundamentals and Applications ISBN: 1108716008 ISBN-13(EAN): 9781108716000 Издательство: Cambridge Academ Рейтинг: Цена: 11563.00 р. 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: Demeter, Ciprian (indiana University, Bloomington) Название: Fourier restriction, decoupling, and applications ISBN: 1108499708 ISBN-13(EAN): 9781108499705 Издательство: Cambridge Academ Рейтинг: Цена: 9029.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Recent years have seen a flurry of advances in Fourier restriction theory, with significant applications in number theory, PDEs and geometric analysis. This timely text for specialists and graduate students in analysis, written by a leader in the field, brings the reader to the forefront of these exciting developments.
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.
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: Zahari Zlatev, Ivan Dimov, Istvan Farago, Agnes Havasi Название: Richardson Extrapolation: Practical Aspects and Applications ISBN: 3110516497 ISBN-13(EAN): 9783110516494 Издательство: Walter de Gruyter Цена: 22305.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Scientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the computational efficiency of the solution process by the automatic variation of the time-stepsizes. A third issue, the stability of the computations, is very often the most important one and, therefore, it is the major topic studied in all chapters of this book. Clear explanations and many examples make this text an easy-to-follow handbook for applied mathematicians, physicists and engineers working with scientific models based on differential equations.
Contents The basic properties of Richardson extrapolation Richardson extrapolation for explicit Runge-Kutta methods Linear multistep and predictor-corrector methods Richardson extrapolation for some implicit methods Richardson extrapolation for splitting techniques Richardson extrapolation for advection problems Richardson extrapolation for some other problems General conclusions
Описание: Probabilistic approach and stochastic simulation become more and more popular in all branches of science and technology, especially in problems where the data are randomly fluctuating, or they are highly irregular in deterministic sense.
Описание: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
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