| |
| |
Click the serial number on the left to view the details of the item. |
| # |
Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Levi, Decio |
Symmetries and Integrability of Difference Equations |
I10153 |
2017 |
eBook |
|
| 2 |
Maximon, Leonard C |
Differential and Difference Equations |
I09655 |
2016 |
eBook |
|
| 3 |
Akhmet, Marat |
Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities |
I08930 |
2017 |
eBook |
|
| 4 |
Akhmet, Marat |
Replication of Chaos in Neural Networks, Economics and Physics |
I08638 |
2016 |
eBook |
|
| 5 |
Orlandi, Paolo |
Fluid Flow Phenomena |
I11112 |
2000 |
eBook |
|
| 6 |
Luo, Albert C. J |
Discretization and Implicit Mapping Dynamics |
I07463 |
2015 |
eBook |
|
| 7 |
Dong, Shi-Hai |
Wave Equations in Higher Dimensions |
I07415 |
2011 |
eBook |
|
| 8 |
J. Aczel |
Functional equations in several variables: With applications to mathematics, information theory and to the natural and social sc |
001788 |
1989 |
Book |
|
|
|
1.
  |
 |
| Title | Symmetries and Integrability of Difference Equations : Lecture Notes of the Abecederian School of SIDE 12, Montreal 2016 |
| Author(s) | Levi, Decio;Rebelo, Rapha??l;Winternitz, Pavel |
| Publication | Cham, Springer International Publishing, 2017. |
| Description | X, 435 p. 67 illus., 26 illus. in color : online resource |
| Abstract Note | This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations. Difference equations are playing an increasingly important role in the natural sciences. Indeed, many phenomena are inherently discrete and thus naturally described by difference equations. More fundamentally, in subatomic physics, space-time may actually be discrete. Differential equations would then just be approximations of more basic discrete ones. Moreover, when using differential equations to analyze continuous processes, it is often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference ones. Each of the nine peer-reviewed chapters in this volume serves as a self-contained treatment of a topic, containing introductory material as well as the latest research results and exercises. Each chapter is presented by one or more early career researchers in the specific field of their expertise and, in turn, written for early career researchers. As a survey of the current state of the art, this book will serve as a valuable reference and is particularly well suited as an introduction to the field of symmetries and integrability of difference equations. Therefore, the book will be welcomed by advanced undergraduate and graduate students as well as by more advanced researchers |
| ISBN,Price | 9783319566665 |
| Keyword(s) | 1. ALGEBRA
2. Difference and Functional Equations
3. DIFFERENCE EQUATIONS
4. EBOOK
5. EBOOK - SPRINGER
6. Field theory (Physics)
7. Field Theory and Polynomials
8. FUNCTIONAL EQUATIONS
9. Numerical and Computational Physics, Simulation
10. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I10153 |
|
|
On Shelf |
|
|
|
|
2.
 |
|
| Title | Differential and Difference Equations : A Comparison of Methods of Solution |
| Author(s) | Maximon, Leonard C |
| Publication | Cham, Springer International Publishing, 2016. |
| Description | XV, 162 p : online resource |
| Abstract Note | This book, intended for researchers and graduate students in physics, applied mathematics and engineering, presents a detailed comparison of the important methods of solution for linear differential and difference equations - variation of constants, reduction of order, Laplace transforms and generating functions - bringing out the similarities as well as the significant differences in the respective analyses. Equations of arbitrary order are studied, followed by a detailed analysis for equations of first and second order. Equations with polynomial coefficients are considered and explicit solutions for equations with linear coefficients are given, showing significant differences in the functional form of solutions of differential equations from those of difference equations. An alternative method of solution involving transformation of both the dependent and independent variables is given for both differential and difference equations. A comprehensive, detailed treatment of Green???s functions and the associated initial and boundary conditions is presented for differential and difference equations of both arbitrary and second order. A dictionary of difference equations with polynomial coefficients provides a unique compilation of second order difference equations obeyed by the special functions of mathematical physics. Appendices augmenting the text include, in particular, a proof of Cramer???s rule, a detailed consideration of the role of the superposition principal in the Green???s function, and a derivation of the inverse of Laplace transforms and generating functions of particular use in the solution of second order linear differential and difference equations with linear coefficients |
| ISBN,Price | 9783319297361 |
| Keyword(s) | 1. APPLIED MATHEMATICS
2. Difference and Functional Equations
3. DIFFERENCE EQUATIONS
4. DIFFERENTIAL EQUATIONS
5. EBOOK
6. EBOOK - SPRINGER
7. ENGINEERING MATHEMATICS
8. FUNCTIONAL EQUATIONS
9. Mathematical and Computational Engineering
10. Mathematical Applications in the Physical Sciences
11. Mathematical Methods in Physics
12. MATHEMATICAL PHYSICS
13. ORDINARY DIFFERENTIAL EQUATIONS
14. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09655 |
|
|
On Shelf |
|
|
|
|
|
3.
|
|
| Title | Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities |
| Author(s) | Akhmet, Marat;Kashkynbayev, Ardak |
| Publication | Singapore, Springer Singapore, 2017. |
| Description | XI, 166 p. 31 illus., 26 illus. in color : online resource |
| Abstract Note | This book is devoted to bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types. That is, those with jumps present either in the right-hand-side or in trajectories or in the arguments of solutions of equations. The results obtained in this book can be applied to various fields such as neural networks, brain dynamics, mechanical systems, weather phenomena, population dynamics, etc. Without any doubt, bifurcation theory should be further developed to different types of differential equations. In this sense, the present book will be a leading one in this field. The reader will benefit from the recent results of the theory and will learn in the very concrete way how to apply this theory to differential equations with various types of discontinuity. Moreover, the reader will learn new ways to analyze nonautonomous bifurcation scenarios in these equations. The book will be of a big interest both for ??beginners and experts in the field. For the former group of specialists, that is, undergraduate and graduate students, the book will be useful since it provides a strong impression that bifurcation theory can be developed not only for discrete and continuous systems, but those which combine these systems in very different ways. The latter group of specialists will find in this book several powerful instruments developed for the theory of discontinuous dynamical systems with variable moments of impacts, differential equations with piecewise constant arguments of generalized type and Filippov systems. A significant benefit of the present book is expected to be for those who consider bifurcations in systems with impulses since they are presumably nonautonomous systems |
| ISBN,Price | 9789811031809 |
| Keyword(s) | 1. Applications of Nonlinear Dynamics and Chaos Theory
2. Control and Systems Theory
3. Control engineering
4. Difference and Functional Equations
5. DIFFERENCE EQUATIONS
6. DIFFERENTIAL EQUATIONS
7. Dynamical Systems and Ergodic Theory
8. DYNAMICS
9. EBOOK
10. EBOOK - SPRINGER
11. ERGODIC THEORY
12. FUNCTIONAL EQUATIONS
13. ORDINARY DIFFERENTIAL EQUATIONS
14. STATISTICAL PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08930 |
|
|
On Shelf |
|
|
|
|
|
4.
|
|
| Title | Replication of Chaos in Neural Networks, Economics and Physics |
| Author(s) | Akhmet, Marat;Fen, Mehmet Onur |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2016. |
| Description | XV, 457 p. 141 illus., 133 illus. in color : online resource |
| Abstract Note | This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are used as inputs for systems with attractors: equilibrium points, cycles and tori. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a higher level than previously thought. The approach selected is conducive to the in-depth analysis of different types of chaos. The appearance of deterministic chaos in neural networks, economics and mechanical systems is discussed theoretically and supported by simulations. As such, the book offers a valuable resource for mathematicians, physicists, engineers and economists studying nonlinear chaotic dynamics |
| ISBN,Price | 9783662475003 |
| Keyword(s) | 1. Applications of Nonlinear Dynamics and Chaos Theory
2. BIOMATHEMATICS
3. Difference and Functional Equations
4. DIFFERENCE EQUATIONS
5. EBOOK
6. EBOOK - SPRINGER
7. ECONOMIC THEORY
8. Economic Theory/Quantitative Economics/Mathematical Methods
9. FUNCTIONAL EQUATIONS
10. Mathematical and Computational Biology
11. MECHANICS
12. Mechanics, Applied
13. STATISTICAL PHYSICS
14. Theoretical and Applied Mechanics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08638 |
|
|
On Shelf |
|
|
|
|
|
5.
|
|
| Title | Fluid Flow Phenomena : A Numerical Toolkit |
| Author(s) | Orlandi, Paolo |
| Publication | Dordrecht, Springer Netherlands, 2000. |
| Description | XII, 356 p. 10 illus : online resource |
| Abstract Note | This book deals with the simulation of the incompressible Navier-Stokes equations for laminar and turbulent flows. The book is limited to explaining and employing the finite difference method. It furnishes a large number of source codes which permit to play with the Navier-Stokes equations and to understand the complex physics related to fluid mechanics. Numerical simulations are useful tools to understand the complexity of the flows, which often is difficult to derive from laboratory experiments. This book, then, can be very useful to scholars doing laboratory experiments, since they often do not have extra time to study the large variety of numerical methods; furthermore they cannot spend more time in transferring one of the methods into a computer language. By means of numerical simulations, for example, insights into the vorticity field can be obtained which are difficult to obtain by measurements. This book can be used by graduate as well as undergraduate students while reading books on theoretical fluid mechanics; it teaches how to simulate the dynamics of flow fields on personal computers. This will provide a better way of understanding the theory. Two chapters on Large Eddy Simulations have been included, since this is a methodology that in the near future will allow more universal turbulence models for practical applications. The direct simulation of the Navier-Stokes equations (DNS) is simple by finite-differences, that are satisfactory to reproduce the dynamics of turbulent flows. A large part of the book is devoted to the study of homogeneous and wall turbulent flows. In the second chapter the elementary concept of finite difference is given to solve parabolic and elliptical partial differential equations. In successive chapters the 1D, 2D, and 3D Navier-Stokes equations are solved in Cartesian and cylindrical coordinates. Finally, Large Eddy Simulations are performed to check the importance of the subgrid scale models. Results for turbulent and laminar flows are discussed, with particular emphasis on vortex dynamics. This volume will be of interest to graduate students and researchers wanting to compare experiments and numerical simulations, and to workers in the mechanical and aeronautic industries |
| ISBN,Price | 9789401142816 |
| Keyword(s) | 1. Classical and Continuum Physics
2. CLASSICAL MECHANICS
3. Continuum physics
4. Difference and Functional Equations
5. DIFFERENCE EQUATIONS
6. EBOOK
7. EBOOK - SPRINGER
8. FUNCTIONAL EQUATIONS
9. MATHEMATICAL PHYSICS
10. MECHANICS
11. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11112 |
|
|
On Shelf |
|
|
|
|
|
6.
|
|
| Title | Discretization and Implicit Mapping Dynamics |
| Author(s) | Luo, Albert C. J |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2015. |
| Description | X, 310 p. 46 illus., 26 illus. in color : online resource |
| Abstract Note | This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of fixed points in discrete nonlinear dynamical systems is reviewed, and the explicit and implicit maps of continuous dynamical systems are developed through the single-step and multi-step discretizations. The implicit dynamics of period-m solutions in discrete nonlinear systems are discussed. The book also offers a generalized??approach to finding??analytical and numerical solutions of stable and unstable periodic flows to chaos in nonlinear systems with/without time-delay. The bifurcation trees of periodic motions to chaos in the Duffing oscillator are shown as a sample problem, while the discrete Fourier series of periodic motions and chaos are also presented. The book offers a valuable resource for university students, professors, researchers and engineers in the fields of applied mathematics, physics, mechanics, control systems, and engineering |
| ISBN,Price | 9783662472750 |
| Keyword(s) | 1. Applications of Nonlinear Dynamics and Chaos Theory
2. Difference and Functional Equations
3. DIFFERENCE EQUATIONS
4. DYNAMICAL SYSTEMS
5. DYNAMICS
6. EBOOK
7. EBOOK - SPRINGER
8. FUNCTIONAL EQUATIONS
9. STATISTICAL PHYSICS
10. VIBRATION
11. Vibration, Dynamical Systems, Control
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07463 |
|
|
On Shelf |
|
|
|
|
|
7.
|
|
| Title | Wave Equations in Higher Dimensions |
| Author(s) | Dong, Shi-Hai |
| Publication | Dordrecht, Springer Netherlands, 2011. |
| Description | XXV, 295 p : online resource |
| Abstract Note | Higher dimensional theories have attracted much attention because they make it possible to reduce much of physics in a concise, elegant fashion that unifies the two great theories of the 20th century: Quantum Theory and Relativity. This book provides an elementary description of quantum wave equations in higher dimensions at an advanced level so as to put all current mathematical and physical concepts and techniques at the reader???s disposal. A comprehensive description of quantum wave equations in higher dimensions and their broad range of applications in quantum mechanics is provided, which complements the traditional coverage found in the existing quantum mechanics textbooks and gives scientists a fresh outlook on quantum systems in all branches of physics. In Parts I and II the basic properties of the SO(n) group are reviewed and basic theories and techniques related to wave equations in higher dimensions are introduced. Parts III and IV cover important quantum systems in the framework of non-relativistic and relativistic quantum mechanics in terms of the theories presented in Part II. In particular, the Levinson theorem and the generalized hypervirial theorem in higher dimensions, the Schr??dinger equation with position-dependent mass and the Kaluza-Klein theory in higher dimensions are investigated. In this context, the dependence of the energy levels on the dimension is shown. Finally, Part V contains conclusions, outlooks and an extensive bibliography |
| ISBN,Price | 9789400719170 |
| Keyword(s) | 1. Classical and Quantum Gravitation, Relativity Theory
2. Difference and Functional Equations
3. DIFFERENCE EQUATIONS
4. EBOOK
5. EBOOK - SPRINGER
6. FUNCTIONAL EQUATIONS
7. GRAVITATION
8. QUANTUM PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07415 |
|
|
On Shelf |
|
|
|
| |