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 #  AuthorTitleAccn#YearItem Type Claims
1 Hans Ringstrom Cauchy problem in general relativity 026229 2009 Book  
2 Christopher D. Sogge Lectures on non-linear wave equations 026215 2013 Book  
3 Xin-She Yang Introduction to computational mathematics 026201 2015 Book  
4 Paul Duchateau Schaum's Outline of Partial Differential Equations: 290 fully sovled problems 025971 2011 Book  
5 Alessandro Talamelli (ed.) Progress in turbulence V I02341 eBook  
6 Robert Conte Painlev�e handbook I00949 2008 eBook  
7 Benjamin A. Stickler Basic concepts in computational physics 025520 2014 Book  
8 Peter Li Geometric analysis 024461 2012 Book  
9 Gustavo L. Velazquez Partial differential equations of first order and their application to physics 024405 2012 Book  
10 Amritasu Sinha Principles of engineering analysis 024408 2012 Book  
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TitleCauchy problem in general relativity
Author(s)Hans Ringstrom
PublicationZurich, European Mathematical Society, 2009.
Descriptionxiii, 294p.
Series(Lectures in Mathematics and Physics)
Abstract NoteThis book first provides a definition of the concept of initial data and a proof of the correspondence between initial data and development. It turns out that some initial data allow non-isometric maximal developments, complicating the uniqueness issue. The second half of the book is concerned with this and related problems, such as strong cosmic censorship. The book presents complete proofs of several classical results that play a central role in mathematical relativity but are not easily accessible to those without prior background in the subject. Prerequisites are a good knowledge of basic measure and integration theory as well as the fundamentals of Lorentz geometry. The necessary background from the theory of partial differential equations and Lorentz geometry is included.
ISBN,Price9783037190531 : Eur 42.00(PB)
Classification530.12:517.955
Keyword(s)1. CAUCHY PROBLEM 2. GENERAL RELATIVITY 3. GLOBAL HYPERBOLICITY 4. LORENTZ GEOMETRY 5. NON-LINEAR WAVE EQUATIONS 6. PARTIAL DIFFERENTIAL EQUATIONS 7. STRONG COSMIC CENSORSHIP
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026229   530.12:517.955/RIN/026229  Issued SH01: Shalabh 06/May/2018

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TitleLectures on non-linear wave equations
Author(s)Christopher D. Sogge
Edition2nd ed.
PublicationSomerville, International Press of Boston Inc, 2013.
Descriptionviii, 204p.
Abstract NoteThis much-anticipated revised second edition of Christopher Sogge's 1995 work provides a self-contained account of the basic facts concerning the linear wave equation and the methods from harmonic analysis that are necessary when studying nonlinear hyperbolic differential equations. Sogge examines quasilinear equations with small data where the Klainerman-Sobolev inequalities and weighted space-time estimates are introduced to prove global existence results. New simplified arguments are given in the current edition that allow one to handle quasilinear systems with multiple wave speeds. The next topic concerns semilinear equations with small initial data. John's existence theorem for R1 3 is discussed with blow-up problems and some results for the spherically symmetric case. After this, general Strichartz estimates are treated. A proof of the endpoint Strichartz estimates of Keel and Tao and the Christ-Kiselev lemma are given, the material being new in this edition. Using the Strichartz estimates, the critical wave equation in R1 3 is studied.
ISBN,Price9781571462794 : US $39.00(PB)
Classification517.95
Keyword(s)1. HARMONIC ANALYSIS 2. LINEAR WAVE EQUATION 3. PARTIAL DIFFERENTIAL EQUATIONS 4. STRICHARTZ ESTIMATES 5. WAVE EQUATION
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026215   517.95/SOG/026215  Issued SH01: Shalabh 06/May/2018

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TitleIntroduction to computational mathematics
Author(s)Xin-She Yang
Edition2nd ed.
PublicationNew Jersey, World Scientific Publishing Co. Pvt. Ltd., 2015.
Descriptionxii, 329p.
Abstract NoteThis unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of contemporary numerical algorithms, scientific computing and optimization. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. This edition covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithm, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, nonlinear curve-fitting to data modelling, bio-inspired algorithms and swarm intelligence. This book is especially suitable for both undergraduates and graduates in computational mathematics, numerical algorithms, scientific computing, mathematical programming, artificial intelligence and engineering optimization. Thus, it can be used as a textbook and/or reference book.
ISBN,Price9789814635783 : Rs. 995.00(PB)
Classification519.6
Keyword(s)1. Computational Intelligence 2. COMPUTATIONAL MATHEMATICS 3. MATHEMATICAL PROGRAMMING 4. NUMERICAL ALGORITHMS 5. PARTIAL DIFFERENTIAL EQUATIONS 6. STOCHASTIC METHODS
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026201   519.6/YANG/026201  On Shelf    

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TitleSchaum's Outline of Partial Differential Equations: 290 fully sovled problems
Author(s)Paul Duchateau;David W. Zachmann
Edition3rd ed.
PublicationNew York, McGraw-Hill Professional, 2011.
Description241p.
ISBN,Price9780071756181 : Rs. 1072.00(PB)
Classification517.95
Keyword(s)1. APPLIED MATHEMATICS 2. CALCULUS 3. PARTIAL DIFFERENTIAL EQUATIONS
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025971   517.95/DUC/025971  On Shelf    

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TitleProgress in turbulence V : proceedings of the iTi Conference in Turbulence 2012
Author(s)Alessandro Talamelli (ed.);Martin Oberlack (ed.);Joachim Peinke (ed.)
Description1 online resource (xiv, 238 pages) : illustrations (some color)
Abstract NoteThis volume collects the edited and reviewed contributions presented in the 5th iTi Conference in Bertinoro. covering fundamental aspects in turbulent flows. In the spirit of the iTi initiative, the volume is produced after the conference so that the authors had the possibility to incorporate comments and discussions raised during the meeting. Turbulence presents a large number of aspects and problems, which are still unsolved and which challenge research communities in engineering and physical sciences both in basic and applied research. The book presents recent advances in theory related to new statistical approaches, effect of non-linearities and presence of symmetries. This edition presents new contributions related to the physics and control of laminar-turbulent transition in wall-bounded flows, which may have a significant impact on drag reduction applications. Turbulent boundary layers, at increasing Reynolds number, are the main subject of both computational and experimental long research programs aimed at improving our knowledge on scaling, energy distribution at different scales, structure eduction, roughness effects to name only a few. Like previous editions several numerical and experimental analysis of complex flows, mostly related to applications, are presented. The structure of the present book is as such that contributions have been bundled according to covering topics i.e. I Theory, II Stability, III Wall bounded flows, IV, Complex flows, V Acoustic, VI Numerical methods
NotesInternational conference proceedings
Keyword(s)1. COMPLEXITY 2. EBOOK 3. EBOOK - SPRINGER 4. ENGINEERING 5. Engineering Fluid Dynamics 6. Fluid- and Aerodynamics 7. NONLINEAR DYNAMICS 8. PARTIAL DIFFERENTIAL EQUATIONS 9. SCIENCE / Earth Sciences / Geography 10. SCIENCE / Earth Sciences / Geology 11. TURBULENCE 12. Vibration, Dynamical Systems, Control
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I02341     On Shelf    

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TitlePainlev�e handbook
Author(s)Robert Conte;Micheline Musette
PublicationDordrecht, Springer, 2008.
Description1 online resource (xxiii, 256 p.) : ill
Abstract NoteNonlinear differential or difference equations are encountered not only in mathematics, but also in many areas of physics (evolution equations, propagation of a signal in an optical fiber), chemistry (reaction-diffusion systems), and biology (competition of species). This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task is to investigate whether the chances of success are high or low, and this can be achieved without any a priori knowledge of the solutions, with a powerful algorithm presented in detail called the PainlevA(c)
Notes"ISSN 1860-0832"--T.p. verso. -Includes bibliographical references (p. 234-252) and index
Keyword(s)1. Appl. Mathematics/Computational Methods of Engineering 2. Dynamical Systems and Ergodic Theory 3. EBOOK 4. EBOOK - SPRINGER 5. Math. Applications in Chemistry 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. MATHEMATICS 9. ORDINARY DIFFERENTIAL EQUATIONS 10. Painlev�e equations 11. PARTIAL DIFFERENTIAL EQUATIONS 12. PHYSICS
Item TypeeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
I00949     On Shelf    

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TitleBasic concepts in computational physics
Author(s)Benjamin A. Stickler;Ewald Schachinger
PublicationHeidelberg, Springer, 2014.
Descriptionxvii, 377p.
Abstract Notebook is divided into two main parts: Deterministic methods and stochastic methods. Based on concrete problems, the first part discusses numerical differentiation and integration, and the treatment of ordinary differential equations. This is augmented by notes on the numerics of partial differential equations. The second part discusses the generation of random numbers, summarizes the basics of stochastics which is then followed by the introduction of various Monte-Carlo (MC) methods. Specific emphasis is on MARKOV chain MC algorithms. All this is again augmented by numerous applications from physics. The final two chapters on Data Analysis and Stochastic Optimization share the two main topics as a common denominator. The book offers a number of appendices to provide the reader with more detailed information on various topics discussed in the main part. Nevertheless, the reader should be familiar with the most important concepts of statistics and probability theory albeit two appendices have been dedicated to provide a rudimentary discussion
ISBN,Price9783319024349 : Euro 44.99(HB)
Classification53:681.3
Keyword(s)1. COMPUTATIONAL PHYSICS 2. DETERMINISTIC METHODS OF COMPUTATIONAL PHYSICS 3. MONTE CARLO METHODS 4. PARTIAL DIFFERENTIAL EQUATIONS 5. STOCHASTIC METHODS OF COMPUTATIONAL PHYSICS 6. STOCHASTIC OPTIMIZATION
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
025520   53:681.3/STI/025520  On Shelf    

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TitleGeometric analysis
Author(s)Peter Li
PublicationCambridge, Cambridge University Press, 2012.
Descriptionx, 406p.
Abstract NoteThe aim of this graduate-level text is to equip the reader with the basic tools and techniques needed for research in various areas of geometric analysis. Throughout, the main theme is to present the interaction of partial differential equations and differential geometry. More specifically, emphasis is placed on how the behavior of the solutions of a PDE is affected by the geometry of the underlying manifold and vice versa. For efficiency the author mainly restricts himself to the linear theory and only a rudimentary background in Riemannian geometry and partial differential equations is assumed. Originating from the author's own lectures, this book is an ideal introduction for graduate students, as well as a useful reference for experts in the field.
ISBN,Price9781107020641 : UKP 45.00(HB)
Classification514.12
Keyword(s)1. DIFFERENTIAL GEOMETRY 2. GEOMETRIC ANALYSIS 3. LINEAR THEORY 4. PARTIAL DIFFERENTIAL EQUATIONS
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024461   514.12/LI/024461  On Shelf    

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TitlePartial differential equations of first order and their application to physics
Author(s)Gustavo L. Velazquez
Edition2nd.
PublicationNew Jersey, World Scientific Publishing Co. Pvt. Ltd., 2012.
Descriptionxi, 188p.
Abstract NoteThis book tries to point out the mathematical importance of the Partial Differential Equations of First Order (PDEFO) in Physics and Applied Sciences. The intention is to provide mathematicians with a wide view of the applications of this branch in physics, and to give physicists and applied scientists a powerful tool for solving some problems appearing in Classical Mechanics, Quantum Mechanics, Optics, and General Relativity. This book is intended for senior or first year graduate students in mathematics, physics, or engineering curricula.
ISBN,Price9789814390378 : US $69.00(HB)
Classification517.952:53
Keyword(s)1. PARTIAL DIFFERENTIAL EQUATIONS 2. PARTIAL DIFFERENTIAL EQUATIONS OF FIRST ORDER 3. PDEFO
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024405   517.952:53/VEL/024405  On Shelf    

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TitlePrinciples of engineering analysis
Author(s)Amritasu Sinha;Jean Bosco Mugiraneza
PublicationNew Delhi, Narosa Publishing House, 2012.
Descriptionix, pp. 1.1-8.23, B.1-B.2, I.1-I.6
Abstract NotePRINCIPLES OF ENGINEERING ANALYSIS presents Mathematical tools for Engineering Analysis and applications. Particular emphasis has been given to explain Signals and Systems. Different transformation techniques such as Laplace, Fourier and Z transforms mathematically and subsequently its applications in solving differential and integral equations are also given.
ISBN,Price9788184871456 : Rs. 320.00(PB)
Classification519.6
Keyword(s)1. FOURIER TRANSFORM 2. LAPLACE TRANSFORMATION 3. PARTIAL DIFFERENTIAL EQUATIONS 4. SIGNALS 5. Z-TRANSFORM
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
024408   519.6/SIN/024408  On Shelf    

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