Описание: This book discusses the computer-based implementation of prototype partial differential equation models for the dynamics of mass transfer across the blood brain barrier. The numerical algorithm for the solution of PDE models is termed the method of lines. Numerical and graphical output from this model is presented with a discussion of possible application to neurodynamics.
Автор: Ryaben`kii, Victor S. , Tsynkov, Semyon V. Название: A Theoretical Introduction to Numerical Analysis ISBN: 0367453398 ISBN-13(EAN): 9780367453398 Издательство: Taylor&Francis Рейтинг: Цена: 10104.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study.
An accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis. The authors thoroughly explain basic concepts, such as discretization, error, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and the effect of smoothness on the accuracy of approximation in the context of Chebyshev interpolation, Gaussian quadratures, and spectral methods for differential equations. Another advanced subject discussed, the method of difference potentials, employs discrete analogues of Calderon's potentials and boundary projection operators. The authors often delineate various techniques through exercises that require further theoretical study or computer implementation.
By lucidly presenting the central mathematical concepts of numerical methods, A Theoretical Introduction to Numerical Analysis provides a foundational link to more specialized computational work in fluid dynamics, acoustics, and electromagnetism.
Автор: Kendall Atkinson; Weimin Han Название: Theoretical Numerical Analysis ISBN: 1441931996 ISBN-13(EAN): 9781441931993 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical methods for solving integral equations of the second kind, and boundary integral equations for planar regions. The presentation of each topic is meant to be an introduction with certain degree of depth. Comprehensive references on a particular topic are listed at the end of each chapter for further reading and study.
Because of the relevance in solving real world problems, multivariable polynomials are playing an ever more important role in research and applications. In this third editon, a new chapter on this topic has been included and some major changes are made on two chapters from the previous edition. In addition, there are numerous minor changes throughout the entire text and new exercises are added.
Review of earlier edition:
"...the book is clearly written, quite pleasant to read, and contains a lot of important material; and the authors have done an excellent job at balancing theoretical developments, interesting examples and exercises, numerical experiments, and bibliographical references."
R. Glowinski, SIAM Review, 2003
Автор: Atkinson Название: Theoretical Numerical Analysis ISBN: 1441904573 ISBN-13(EAN): 9781441904577 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book prepares graduate students for research in numerical analysis/computational mathematics by giving a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps them to move rapidly into a research program.
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.
Автор: Bernard J. Geurts Название: Direct and Large-Eddy Simulation ISBN: 3110531828 ISBN-13(EAN): 9783110531824 Издательство: Walter de Gruyter Рейтинг: Цена: 25848.00 р. Наличие на складе: Нет в наличии.
Описание:
The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the modern mathematical foundations behind computational science and its applications in physical and life sciences, and in engineering.
One of its main objectives is to make available to the professional community expositions of results and in-depth presentation of techniques that are of current importance to technological and practical applications.
Описание: From fabrication to testing and modeling this monograph covers all aspects on the materials class of magneto active polymers. The focus is on computational modeling of manufacturing processes and material parameters. As other smart materials, these elastomers have the ability to change electrical and mechanical properties upon application of magnetic fields. This allows for novel applications ranging from biomedical engineering to mechatronics.
Автор: Bernard J. Geurts Название: Direct and Large-Eddy Simulation ISBN: 3110516217 ISBN-13(EAN): 9783110516210 Издательство: Walter de Gruyter Цена: 26024.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the modern mathematical foundations behind computational science and its applications in physical and life sciences, and in engineering.
One of its main objectives is to make available to the professional community expositions of results and in-depth presentation of techniques that are of current importance to technological and practical applications.
Автор: Martin Oliver Steinhauser Название: Computer Simulation in Physics and Engineering ISBN: 3110255901 ISBN-13(EAN): 9783110255904 Издательство: Walter de Gruyter Рейтинг: Цена: 27884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This work is a needed reference for widely used techniques and methods of computer simulation in physics and other disciplines, such as materials science. Thus it will meet a need and fill a gap for every scientist who needs computer simulations for his/her task at hand.
Описание: This book provides a lively and accessible introduction to the numerical solution of stochastic differential equations with the aim of making this subject available to the widest possible readership. It presents an outline of the underlying convergence and stability theory while avoiding technical details. Key ideas are illustrated with numerous computational examples and computer code is listed at the end of each chapter. The authors include 150 exercises, with solutions available online, and 40 programming tasks.Although introductory, the book covers a range of modern research topics, including It? versus Stratonovich calculus, implicit methods, stability theory, nonconvergence on nonlinear problems, multilevel Monte Carlo, approximation of double stochastic integrals, and tau leaping for chemical and biochemical reaction networks.An Introduction to the Numerical Simulation of Stochastic Differential Equations is appropriate for undergraduates and postgraduates in mathematics, engineering, physics, chemistry, finance, and related disciplines, as well as researchers in these areas. The material assumes only a competence in algebra and calculus at the level reached by a typical first-year undergraduate mathematics class, and prerequisites are kept to a minimum. Some familiarity with basic concepts from numerical analysis and probability is also desirable but not necessary.
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