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Mixed Problems For The Wave Equation In Coordinate Domains
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Book Synopsis Mixed Problems for the Wave Equation in Coordinate Domains by : Aleksandr Mikhaĭlovich Blokhin
Download or read book Mixed Problems for the Wave Equation in Coordinate Domains written by Aleksandr Mikhaĭlovich Blokhin and published by Nova Publishers. This book was released on 1998 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Domains of Dependence for Mixed Problems for Wave Equations by : Erich Zauderer
Download or read book Domains of Dependence for Mixed Problems for Wave Equations written by Erich Zauderer and published by . This book was released on 1963 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The energy integral method in its usual form involving the use of the characteristic conoid is easily extended to yield a uniqueness theorem for mixed problems for the wave equation. Friedlander ('Sound pulses.' Cambridge, Cambridge Univ. Press, 1958. Proc. of the Cambridge Philosophical Society 45:395 (1949)) noted this and used it to determine the fronts of disturbances in the shadow region resulting from mixed problems with homogeneous boundary conditions. It is shown how these fronts may be used to obtain a uniqueness theorem for such mixed problems with smooth boundaries, and, thereby, domains of dependence and influence for such problems, with homogeneous boundary conditions. These domains are smaller than those obtained from the usual energy integral method referred to above and coincide with those of the solutions of several particular mixed problems.
Book Synopsis A MIXED PROBLEM FOR THE WAVE EQUATION IN A TIME DEPENDENT DOMAIN. by : Earl Daniel Rogak
Download or read book A MIXED PROBLEM FOR THE WAVE EQUATION IN A TIME DEPENDENT DOMAIN. written by Earl Daniel Rogak and published by . This book was released on 1964 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hyperbolic Problems: Contributed talks by : Eitan Tadmor
Download or read book Hyperbolic Problems: Contributed talks written by Eitan Tadmor and published by American Mathematical Soc.. This book was released on 2009-12-15 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Reviews written by and published by . This book was released on 2000 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fluid-Solid Interaction Dynamics by : Jing Tang Xing
Download or read book Fluid-Solid Interaction Dynamics written by Jing Tang Xing and published by Academic Press. This book was released on 2019-08-30 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Linear Fractional Diffusion-Wave Equation for Scientists and Engineers by : Yuriy Povstenko
Download or read book Linear Fractional Diffusion-Wave Equation for Scientists and Engineers written by Yuriy Povstenko and published by Birkhäuser. This book was released on 2015-07-03 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematics of Wave Phenomena by : Willy Dörfler
Download or read book Mathematics of Wave Phenomena written by Willy Dörfler and published by Springer Nature. This book was released on 2020-10-01 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave phenomena are ubiquitous in nature. Their mathematical modeling, simulation and analysis lead to fascinating and challenging problems in both analysis and numerical mathematics. These challenges and their impact on significant applications have inspired major results and methods about wave-type equations in both fields of mathematics. The Conference on Mathematics of Wave Phenomena 2018 held in Karlsruhe, Germany, was devoted to these topics and attracted internationally renowned experts from a broad range of fields. These conference proceedings present new ideas, results, and techniques from this exciting research area.
Book Synopsis Handbook of Linear Partial Differential Equations for Engineers and Scientists by : Andrei D. Polyanin
Download or read book Handbook of Linear Partial Differential Equations for Engineers and Scientists written by Andrei D. Polyanin and published by CRC Press. This book was released on 2015-12-23 with total page 1623 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Subject Guide to Books in Print by :
Download or read book Subject Guide to Books in Print written by and published by . This book was released on 2001 with total page 3054 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Seismic Waves written by Masaki Kanao and published by BoD – Books on Demand. This book was released on 2012-01-25 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance of seismic wave research lies not only in our ability to understand and predict earthquakes and tsunamis, it also reveals information on the Earth's composition and features in much the same way as it led to the discovery of Mohorovicic's discontinuity. As our theoretical understanding of the physics behind seismic waves has grown, physical and numerical modeling have greatly advanced and now augment applied seismology for better prediction and engineering practices. This has led to some novel applications such as using artificially-induced shocks for exploration of the Earth's subsurface and seismic stimulation for increasing the productivity of oil wells. This book demonstrates the latest techniques and advances in seismic wave analysis from theoretical approach, data acquisition and interpretation, to analyses and numerical simulations, as well as research applications. A review process was conducted in cooperation with sincere support by Drs. Hiroshi Takenaka, Yoshio Murai, Jun Matsushima, and Genti Toyokuni.
Book Synopsis Separable Boundary-Value Problems in Physics by : Morten Willatzen
Download or read book Separable Boundary-Value Problems in Physics written by Morten Willatzen and published by John Wiley & Sons. This book was released on 2011-05-03 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Innovative developments in science and technology require a thorough knowledge of applied mathematics, particularly in the field of differential equations and special functions. These are relevant in modeling and computing applications of electromagnetic theory and quantum theory, e.g. in photonics and nanotechnology. The problem of solving partial differential equations remains an important topic that is taught at both the undergraduate and graduate level. Separable Boundary-Value Problems in Physics is an accessible and comprehensive treatment of partial differential equations in mathematical physics in a variety of coordinate systems and geometry and their solutions, including a differential geometric formulation, using the method of separation of variables. With problems and modern examples from the fields of nano-technology and other areas of physics. The fluency of the text and the high quality of graphics make the topic easy accessible. The organization of the content by coordinate systems rather than by equation types is unique and offers an easy access. The authors consider recent research results which have led to a much increased pedagogical understanding of not just this topic but of many other related topics in mathematical physics, and which like the explicit discussion on differential geometry shows - yet have not been treated in the older texts. To the benefit of the reader, a summary presents a convenient overview on all special functions covered. Homework problems are included as well as numerical algorithms for computing special functions. Thus this book can serve as a reference text for advanced undergraduate students, as a textbook for graduate level courses, and as a self-study book and reference manual for physicists, theoretically oriented engineers and traditional mathematicians.
Book Synopsis Optimal Control and Differential Games by : Lev Semenovich Pontri︠a︡gin
Download or read book Optimal Control and Differential Games written by Lev Semenovich Pontri︠a︡gin and published by American Mathematical Soc.. This book was released on 1990 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."
Book Synopsis American Book Publishing Record Cumulative 1998 by : R R Bowker Publishing
Download or read book American Book Publishing Record Cumulative 1998 written by R R Bowker Publishing and published by . This book was released on 1999-03 with total page 1312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Fluid Mechanics and Heat Transfer, Third Edition by : Richard H. Pletcher
Download or read book Computational Fluid Mechanics and Heat Transfer, Third Edition written by Richard H. Pletcher and published by CRC Press. This book was released on 2012-08-30 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thoroughly updated to include the latest developments in the field, this classic text on finite-difference and finite-volume computational methods maintains the fundamental concepts covered in the first edition. As an introductory text for advanced undergraduates and first-year graduate students, Computational Fluid Mechanics and Heat Transfer, Third Edition provides the background necessary for solving complex problems in fluid mechanics and heat transfer. Divided into two parts, the book first lays the groundwork for the essential concepts preceding the fluids equations in the second part. It includes expanded coverage of turbulence and large-eddy simulation (LES) and additional material included on detached-eddy simulation (DES) and direct numerical simulation (DNS). Designed as a valuable resource for practitioners and students, new homework problems have been added to further enhance the student’s understanding of the fundamentals and applications.
Book Synopsis Computational Fluid Mechanics and Heat Transfer by : Dale Anderson
Download or read book Computational Fluid Mechanics and Heat Transfer written by Dale Anderson and published by CRC Press. This book was released on 2020-12-17 with total page 975 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fluid Mechanics and Heat Transfer, Fourth Edition is a fully updated version of the classic text on finite-difference and finite-volume computational methods. Divided into two parts, the text covers essential concepts in the first part, and then moves on to fluids equations in the second. Designed as a valuable resource for practitioners and students, new examples and homework problems have been added to further enhance the student’s understanding of the fundamentals and applications. Provides a thoroughly updated presentation of CFD and computational heat transfer Covers more material than other texts, organized for classroom instruction and self-study Presents a wide range of computation strategies for fluid flow and heat transfer Includes new sections on finite element methods, computational heat transfer, and multiphase flows Features a full Solutions Manual and Figure Slides for classroom projection Written as an introductory text for advanced undergraduates and first-year graduate students, the new edition provides the background necessary for solving complex problems in fluid mechanics and heat transfer.
Download or read book Book Review Index written by and published by . This book was released on 2003 with total page 1520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. 8-10 of the 1965-1984 master cumulation constitute a title index.
