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Author : Pierre Célestin Sabatier
Publisher :
ISBN 13 :
Total Pages : 306 pages
Book Rating : 4.F/5 ( download)
Download or read book Problemes inverses written by Pierre Célestin Sabatier and published by . This book was released on 1982 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Fey
Publisher :
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.3/5 (91 download)
Download or read book Hyperbolic Problems written by Michael Fey and published by . This book was released on 1999 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. B. Whitham
Publisher : John Wiley & Sons
ISBN 13 : 1118031202
Total Pages : 660 pages
Book Rating : 4.1/5 (18 download)
Download or read book Linear and Nonlinear Waves written by G. B. Whitham and published by John Wiley & Sons. This book was released on 2011-10-18 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared in 1974, due to the increased use of nonlinear waves. It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. The mathematical principles are presented along with examples of specific cases in communications and specific physical fields, including flood waves in rivers, waves in glaciers, traffic flow, sonic booms, blast waves, and ocean waves from storms.
Author : Demetrios Christodoulou
Publisher : Princeton University Press
ISBN 13 : 1400863171
Total Pages : 525 pages
Book Rating : 4.4/5 (8 download)
Download or read book The Global Nonlinear Stability of the Minkowski Space (PMS-41) written by Demetrios Christodoulou and published by Princeton University Press. This book was released on 2014-07-14 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities. The work contains a detailed description of the sense in which these solutions are close to the Minkowski space-time, in all directions. It thus provides the mathematical framework in which we can give a rigorous derivation of the laws of gravitation proposed by Bondi. Moreover, it establishes other important conclusions concerning the nonlinear character of gravitational radiation. The authors obtain their solutions as dynamic developments of all initial data sets, which are close, in a precise manner, to the flat initial data set corresponding to the Minkowski space-time. They thus establish the global dynamic stability of the latter. Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author : Willy Dörfler
Publisher : Springer Nature
ISBN 13 : 3030471748
Total Pages : 330 pages
Book Rating : 4.0/5 (34 download)
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.
Author : Michael Renardy
Publisher : Springer Science & Business Media
ISBN 13 : 0387216871
Total Pages : 447 pages
Book Rating : 4.3/5 (872 download)
Download or read book An Introduction to Partial Differential Equations written by Michael Renardy and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.
Author : Yves Achdou
Publisher : Springer Nature
ISBN 13 : 3030598373
Total Pages : 316 pages
Book Rating : 4.0/5 (35 download)
Download or read book Mean Field Games written by Yves Achdou and published by Springer Nature. This book was released on 2021-01-19 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an introduction to the theory of Mean Field Games, suggested by J.-M. Lasry and P.-L. Lions in 2006 as a mean-field model for Nash equilibria in the strategic interaction of a large number of agents. Besides giving an accessible presentation of the main features of mean-field game theory, the volume offers an overview of recent developments which explore several important directions: from partial differential equations to stochastic analysis, from the calculus of variations to modeling and aspects related to numerical methods. Arising from the CIME Summer School "Mean Field Games" held in Cetraro in 2019, this book collects together lecture notes prepared by Y. Achdou (with M. Laurière), P. Cardaliaguet, F. Delarue, A. Porretta and F. Santambrogio. These notes will be valuable for researchers and advanced graduate students who wish to approach this theory and explore its connections with several different fields in mathematics.
Author :
Publisher :
ISBN 13 :
Total Pages : 828 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Willi Freeden
Publisher : Springer
ISBN 13 : 3030130541
Total Pages : 140 pages
Book Rating : 4.0/5 (31 download)
Download or read book An Invitation to Geomathematics written by Willi Freeden and published by Springer. This book was released on 2019-05-17 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors introduce geomathematics as an active research area to a wider audience. Chapter 1 presents an introduction to the Earth as a system to apply scientific methods. Emphasis is laid on transfers from virtual models to reality and vice versa. In the second chapter geomathematics is introduced as a new scientific area which nevertheless has its roots in antiquity. The modern conception of geomathematics is outlined from different points of view and its challenging nature is described as well as its interdisciplinarity. Geomathematics is shown as the bridge between the real world and the virtual world. The complex mathematical tools are shown from a variety of fields necessary to tackle geoscientific problems in the mathematical language. Chapter 3 contains some exemplary applications as novel exploration methods. Particular importance is laid on the change of language when it comes to translate measurements to mathematical models. New solution methods like the multiscale mollifier technique are presented. Further applications discussed are aspects of reflection seismics. Chapter 4 is devoted to the short description of recent activities in geomathematics. The Appendix (Chapter 5) is devoted to the GEM – International Journal on Geomathematics founded ten years ago. Besides a detailed structural analysis of the editorial goals an index of all papers published in former issues is given.
Author : Dmitri Kuzmin
Publisher : Springer Science & Business Media
ISBN 13 : 9400740379
Total Pages : 462 pages
Book Rating : 4.4/5 (7 download)
Download or read book Flux-Corrected Transport written by Dmitri Kuzmin and published by Springer Science & Business Media. This book was released on 2012-04-02 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing students and researchers as well as Computational Fluid Dynamics practitioners, this book is the most comprehensive review of high-resolution schemes based on the principle of Flux-Corrected Transport (FCT). The foreword by J.P. Boris and historical note by D.L. Book describe the development of the classical FCT methodology for convection-dominated transport problems, while the design philosophy behind modern FCT schemes is explained by S.T. Zalesak. The subsequent chapters present various improvements and generalizations proposed over the past three decades. In this new edition, recent results are integrated into existing chapters in order to describe significant advances since the publication of the first edition. Also, 3 new chapters were added in order to cover the following topics: algebraic flux correction for finite elements, iterative and linearized FCT schemes, TVD-like flux limiters, acceleration of explicit and implicit solvers, mesh adaptation, failsafe limiting for systems of conservation laws, flux-corrected interpolation (remapping), positivity preservation in RANS turbulence models, and the use of FCT as an implicit subgrid scale model for large eddy simulations.
Author : Gerd Baumann
Publisher : Springer Science & Business Media
ISBN 13 : 0387251138
Total Pages : 407 pages
Book Rating : 4.3/5 (872 download)
Download or read book Mathematica for Theoretical Physics written by Gerd Baumann and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user’s purposes. New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.
Author : Marica Minucci
Publisher :
ISBN 13 : 9781536157628
Total Pages : 0 pages
Book Rating : 4.1/5 (576 download)
Download or read book Hyperbolic Equations and General Relativity written by Marica Minucci and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is divided into three parts. In the first part, the hyperbolic equations' theory is analysed, the second part concerns the Cauchy problem in General Relativity, whereas the third part gives a modern perspective of General Relativity.In the first part, the study of systems of partial differential equations allows the introduction of the concept of wave-like propagation and the definition of hyperbolic equation is given. Thus, once the definition of Riemann kernel is given, Riemann's method to solve a hyperbolic equation in two variables is shown. The discussion moves on the fundamental solutions and its relation to Riemann kernel is pointed out. Therefore, the study of the fundamental solutions concludes by showing how to build them providing some examples of solution with odd and even number of variables. Moreover, the fundamental solution of the scalar wave equation with smooth initial conditions is studied.In the second part, following the work of Fourès-Bruhat, the problem of finding a solution to the Cauchy problem for Einstein field equations in vacuum with non-analytic initial data is presented by first studying under which assumptions second-order systems of partial differential equations, linear and hyperbolic, with n functions and four variables admit a solution. Hence, it is shown how to turn non-linear systems of partial differential equations into linear systems of the same type for which the previous results hold. These considerations allow us to prove the existence and uniqueness of the solution to the Cauchy problem for Einstein's vacuum field equations with non-analytic initial data. Eventually, the causal structure of space-time is studied. The definitions of strong causality, stable causality and global hyperbolicity are given and the relation between the property of global hyperbolicity and the existence of Cauchy surfaces is stressed. In the third part, Riemann's method is used to study the news function describing the gravitational radiation produced in axisymmetric black hole collisions at the speed of light. More precisely, since the perturbative field equations may be reduced to equations in two independent variables, as was proved by D'Eath and Payne, the Green function can be analysed by studying the corresponding second-order hyperbolic operator with variable coefficients. Thus, an integral representation of the solution in terms of the Riemann kernel function can be given.
Author : Sigeru Mizohata
Publisher : Academic Press
ISBN 13 : 148326906X
Total Pages : 186 pages
Book Rating : 4.4/5 (832 download)
Download or read book On the Cauchy Problem written by Sigeru Mizohata and published by Academic Press. This book was released on 2014-05-10 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Notes and Reports in Mathematics in Science and Engineering, Volume 3: On the Cauchy Problem focuses on the processes, methodologies, and mathematical approaches to Cauchy problems. The publication first elaborates on evolution equations, Lax-Mizohata theorem, and Cauchy problems in Gevrey class. Discussions focus on fundamental proposition, proof of theorem 4, Gevrey property in t of solutions, basic facts on pseudo-differential, and proof of theorem 3. The book then takes a look at micro-local analysis in Gevrey class, including proof and consequences of theorem 1. The manuscript examines Schrödinger type equations, as well as general view-points on evolution equations. Numerical representations and analyses are provided in the explanation of these type of equations. The book is a valuable reference for mathematicians and researchers interested in the Cauchy problem.
Author : Pierre-Louis Lions
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.:/5 (44 download)
Download or read book Generalized Solutions of Hamilton-Jacobi Equations written by Pierre-Louis Lions and published by Pitman Publishing. This book was released on 1982 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a complete and self-contained treatment of Hamilton-Jacobi equations. The author gives a new presentation of classical methods and of the relations between Hamilton-Jacobi equations and other fields. This complete treatment of both classical and recent aspects of the subject is presented in such a way that it requires only elementary notions of analysis and partial differential equations.
Author : Paul C. Etter
Publisher : CRC Press
ISBN 13 : 1466564946
Total Pages : 521 pages
Book Rating : 4.4/5 (665 download)
Download or read book Underwater Acoustic Modeling and Simulation written by Paul C. Etter and published by CRC Press. This book was released on 2017-12-19 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Underwater Acoustic Modeling and Simulation, Fourth Edition continues to provide the most authoritative overview of currently available propagation, noise, reverberation, and sonar-performance models. This fourth edition of a bestseller discusses the fundamental processes involved in simulating the performance of underwater acoustic systems and emphasizes the importance of applying the proper modeling resources to simulate the behavior of sound in virtual ocean environments. New to the Fourth Edition Extensive new material that addresses recent advances in inverse techniques and marine-mammal protection Problem sets in each chapter Updated and expanded inventories of available models Designed for readers with an understanding of underwater acoustics but who are unfamiliar with the various aspects of modeling, the book includes sufficient mathematical derivations to demonstrate model formulations and provides guidelines for selecting and using the models. Examples of each type of model illustrate model formulations, model assumptions, and algorithm efficiency. Simulation case studies are also included to demonstrate practical applications. Providing a thorough source of information on modeling resources, this book examines the translation of our physical understanding of sound in the sea into mathematical models that simulate acoustic propagation, noise, and reverberation in the ocean. The text shows how these models are used to predict and diagnose the performance of complex sonar systems operating in the undersea environment.
Author : M. Shifman
Publisher : World Scientific
ISBN 13 : 9814436577
Total Pages : 560 pages
Book Rating : 4.8/5 (144 download)
Download or read book Under the Spell of Landau written by M. Shifman and published by World Scientific. This book was released on 2013 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable collection of memoirs and reviews on scientific activities of the most prominent theoretical physicists belonging to the Landau School OCo Landau, Anselm, Gribov, Zeldovich, Kirzhnits, Migdal, Ter-Martirosyan and Larkin OCo are being published in English for the first time.The main goal is to acquaint readers with the life and work of outstanding Soviet physicists who, to a large extent, shaped theoretical physics in the 1950sOCo70s. Many intriguing details have remained unknown beyond the OC Iron CurtainOCO which was dismantled only with the fall of the USSR.
Author : David D. Nolte
Publisher : Oxford University Press
ISBN 13 : 0192528505
Total Pages : 384 pages
Book Rating : 4.1/5 (925 download)
Download or read book Galileo Unbound written by David D. Nolte and published by Oxford University Press. This book was released on 2018-07-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.
