Mixed Problems For The Wave Equation In Coordinate Domains
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Mixed Problems For The Wave Equation In Coordinate Domains
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Author : Aleksandr Mikhaĭlovich Blokhin
language : en
Publisher: Nova Publishers
Release Date : 1998
Mixed Problems For The Wave Equation In Coordinate Domains written by Aleksandr Mikhaĭlovich Blokhin and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Contents: Mixed problems for the wave equation in co-ordinate corner with additional condition on edge; Well-posedness of mixed problems for wave equation and general hyperbolic equation of second order in co-ordinate corner; Ill-posedness examples in mixed problem; Mixed problem for wave equation in co-ordinate corner -- problem (B0). Solvability condition. Exact solution. A priori estimate in W1/2 (R ); Obtaining of a priori estimate in mixed problems for the multidimensional wave equation.
Hyperbolic Problems Contributed Talks
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Author : Eitan Tadmor
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-12-15
Hyperbolic Problems Contributed Talks written by Eitan Tadmor and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-15 with Mathematics categories.
The International Conference on Hyperbolic Problems: Theory, Numerics and Applications, ``HYP2008'', was held at the University of Maryland from June 9-13, 2008. This was the twelfth meeting in the bi-annual international series of HYP conferences which originated in 1986 at Saint-Etienne, France, and over the last twenty years has become one of the highest quality and most successful conference series in Applied Mathematics. This book, the second in a two-part volume, contains more than sixty articles based on contributed talks given at the conference. The articles are written by leading researchers as well as promising young scientists and cover a diverse range of multi-disciplinary topics addressing theoretical, modeling and computational issues arising under the umbrella of ``hyperbolic PDEs''. This volume will bring readers to the forefront of research in this most active and important area in applied mathematics.
Linear Fractional Diffusion Wave Equation For Scientists And Engineers
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Author : Yuriy Povstenko
language : en
Publisher: Birkhäuser
Release Date : 2015-07-03
Linear Fractional Diffusion Wave Equation For Scientists And Engineers written by Yuriy Povstenko and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-03 with Mathematics categories.
This book systematically presents solutions to the linear time-fractional diffusion-wave equation. It introduces the integral transform technique and discusses the properties of the Mittag-Leffler, Wright, and Mainardi functions that appear in the solutions. The time-nonlocal dependence between the flux and the gradient of the transported quantity with the “long-tail” power kernel results in the time-fractional diffusion-wave equation with the Caputo fractional derivative. Time-nonlocal generalizations of classical Fourier’s, Fick’s and Darcy’s laws are considered and different kinds of boundary conditions for this equation are discussed (Dirichlet, Neumann, Robin, perfect contact). The book provides solutions to the fractional diffusion-wave equation with one, two and three space variables in Cartesian, cylindrical and spherical coordinates. The respective sections of the book can be used for university courses on fractional calculus, heat and mass transfer, transport processes in porous media and fractals for graduate and postgraduate students. The volume will also serve as a valuable reference guide for specialists working in applied mathematics, physics, geophysics and the engineering sciences.
Fluid Solid Interaction Dynamics
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Author : Jing Tang Xing
language : en
Publisher: Academic Press
Release Date : 2019-08-30
Fluid Solid Interaction Dynamics written by Jing Tang Xing and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-30 with Technology & Engineering categories.
Fluid-Solid Interaction Dynamics: Theory, Variational Principles, Numerical Methods and Applications gives a comprehensive accounting of fluid-solid interaction dynamics, including theory, numerical methods and their solutions for various FSI problems in engineering. The title provides the fundamental theories, methodologies and results developed in the application of FSI dynamics. Four numerical approaches that can be used with almost all integrated FSI systems in engineering are presented. Methods are linked with examples to illustrate results. In addition, numerical results are compared with available experiments or numerical data in order to demonstrate the accuracy of the approaches and their value to engineering applications. The title gives readers the state-of-the-art in theory, variational principles, numerical modeling and applications for fluid-solid interaction dynamics. Readers will be able to independently formulate models to solve their engineering FSI problems using information from this book. - Presents the state-of-the-art in fluid-solid interaction dynamics, providing theory, method and results - Takes an integrated approach to formulate, model and simulate FSI problems in engineering - Illustrates results with concrete examples - Gives four numerical approaches and related theories that are suitable for almost all integrated FSI systems - Provides the necessary information for bench scientists to independently formulate, model, and solve physical FSI problems in engineering
Handbook Of Linear Partial Differential Equations For Engineers And Scientists
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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2015-12-23
Handbook Of Linear Partial Differential Equations For Engineers And Scientists written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-23 with Mathematics categories.
This second edition contains nearly 4,000 linear partial differential equations (PDEs) with solutions as well as analytical, symbolic, and numerical methods for solving linear equations. First-, second-, third-, fourth-, and higher-order linear equations and systems of coupled equations are considered. Equations of parabolic, mixed, and other types are discussed. New linear equations, exact solutions, transformations, and methods are described. Formulas for effective construction of solutions are given. Boundary value and eigenvalue problems are addressed. Symbolic and numerical methods for solving PDEs with Maple, Mathematica, and MATLAB are explored.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2000
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Optimal Control And Differential Games
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Author : Lev Semenovich Pontri︠a︡gin
language : en
Publisher: American Mathematical Soc.
Release Date : 1990
Optimal Control And Differential Games written by Lev Semenovich Pontri︠a︡gin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
A collection of 22 papers devoted to questions of optimal control theory and differential games, providing an overview of current trends of research in the area of control systems. Numerous optimization methods are covered as well as necessary and sufficient conditions for optimality."
Domain Based Parallelism And Problem Decomposition Methods In Computational Science And Engineering
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Author : David E. Keyes
language : en
Publisher: SIAM
Release Date : 1995-01-01
Domain Based Parallelism And Problem Decomposition Methods In Computational Science And Engineering written by David E. Keyes and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.
This volume is one attempt to provide cross-disciplinary communication between heterogeneous computational groups developing solutions to problems of parallelization.
Numerical Methods For Wave Equations In Geophysical Fluid Dynamics
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Author : Dale R. Durran
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Numerical Methods For Wave Equations In Geophysical Fluid Dynamics written by Dale R. Durran and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modem as weIlas the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in AppliedMathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and rein force the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and en courage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the AppliedMathematical Sei ences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface This book is designed to serve as a textbook for graduate students or advanced undergraduates studying numerical methods for the solution of partial differen tial equations goveming wave-like flows. Although the majority of the schemes presented in this text were introduced ineither the applied-rnathematics or atmos pheric-science literature, the focus is not on the nuts-and-bolts details of various atmospheric models but on fundamental numerical methods that have applications in a wide range of scientific and engineering disciplines.
Numerical Methods For Problems In Infinite Domains
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Author : D. Givoli
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Numerical Methods For Problems In Infinite Domains written by D. Givoli and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Mathematics categories.
This volume reviews and discusses the main numerical methods used today for solving problems in infinite domains. It also presents in detail one very effective method in this class, namely the Dirichlet-to-Neumann (DtN) finite element method. The book is intended to provide the researcher or engineer with the state-of-the-art in numerical solution methods for infinite domain problems, such as the problems encountered in acoustics and structural acoustics, fluid dynamics, meteorology, and many other fields of application. The emphasis is on the fundamentals of the various methods, and on reporting recent progress and forecasting future directions. An appendix at the end of the book provides an introduction to the essentials of the finite element method, and suggests a short list of texts on the subject which are categorized by their level of mathematics.