Non Linear Wave Propagation With Applications To Physics And Magnetohydrodynamics By A Jeffrey And T Taniuti
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Author | : |
Publisher | : Elsevier |
Total Pages | : 381 |
Release | : 2000-04-01 |
Genre | : Mathematics |
ISBN | : 0080957803 |
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Author | : Alan Jeffrey |
Publisher | : |
Total Pages | : 369 |
Release | : 1964 |
Genre | : |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 1730 |
Release | : 1965 |
Genre | : Nuclear energy |
ISBN | : |
Author | : GĂ©rard A. Maugin |
Publisher | : |
Total Pages | : 328 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9780198534846 |
The mathematical modelling of changing structures in materials is of increasing importance to industry where applications of the theory are found in subjects as diverse as aerospace and medicine. This book deals with aspects of the nonlinear dynamics of deformable ordered solids (known as elastic crystals) where the nonlinear effects combine or compete with each other. Physical and mathematical models are discused and computational aspects are also included. Different models are considered - on discrete as well as continuum scales - applying heat, electricity, or magnetism to the crystal structure and these are analysed using the equations of rational mechanics. Students are introduced to the important equations of nonlinear science that describe shock waves, solitons and chaos and also the non-exactly integrable systems or partial differential equations. A large number of problems and examples are included, many taken from recent research and involving both one-dimensional and two-dimensional problems as well as some coupled degress of freedom.
Author | : J. P. Goedbloed |
Publisher | : Cambridge University Press |
Total Pages | : 995 |
Release | : 2019-01-31 |
Genre | : Science |
ISBN | : 1107123925 |
An introduction to magnetohydrodynamics combining theory with advanced topics including the applications of plasma physics to thermonuclear fusion and plasma astrophysics.
Author | : Bailey |
Publisher | : Academic Press |
Total Pages | : 190 |
Release | : 1968 |
Genre | : Computers |
ISBN | : 0080955525 |
Nonlinear Two Point Boundary Value Problems
Author | : Mendel |
Publisher | : Academic Press |
Total Pages | : 461 |
Release | : 1970-02-28 |
Genre | : Computers |
ISBN | : 0080955754 |
Adaptive, Learning, and Pattern Recognition Systems; theory and applications
Author | : Lakshmikantham |
Publisher | : Academic Press |
Total Pages | : 335 |
Release | : 1969 |
Genre | : Computers |
ISBN | : 0080955649 |
Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations
Author | : V. Lakshmikantham |
Publisher | : Academic Press |
Total Pages | : 405 |
Release | : 1969 |
Genre | : Computers |
ISBN | : 0080955630 |
This volume constitutes the first part of a monograph on theory and applications of differential and integral inequalities. 'The entire work, as a whole, is intended to be a research monograph, a guide to the literature, and a textbook for advanced courses. The unifying theme of this treatment is a systematic development of the theory and applicationsof differential inequalities as well as Volterra integral inequalities. The main tools for applications are the norm and the Lyapunov functions. Familiarity with real and complex analysis, elements of general topology and functional analysis, and differential and integral equations is assumed.
Author | : C. A. Swanson |
Publisher | : Elsevier |
Total Pages | : 238 |
Release | : 2016-06-03 |
Genre | : Mathematics |
ISBN | : 1483266672 |
Mathematics in Science and Engineering, Volume 48: Comparison and Oscillation Theory of Linear Differential Equations deals primarily with the zeros of solutions of linear differential equations. This volume contains five chapters. Chapter 1 focuses on comparison theorems for second order equations, while Chapter 2 treats oscillation and nonoscillation theorems for second order equations. Separation, comparison, and oscillation theorems for fourth order equations are covered in Chapter 3. In Chapter 4, ordinary equations and systems of differential equations are reviewed. The last chapter discusses the result of the first analog of a Sturm-type comparison theorem for an elliptic partial differential equation. This publication is intended for college seniors or beginning graduate students who are well-acquainted with advanced calculus, complex analysis, linear algebra, and linear differential equations.