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Linear Differential Operators
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by
Cornelius Lanczos
Don't let the title fool you! If you are interested in numerical analysis, applied mathematics, or the solution procedures for differential equations, you will find this book useful. Because of Lanczos' unique style of describing mathematical facts in nonmathematical language, Linear Differential Operators also will be helpful to nonmathematicians ...
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Laplace transform solution of differential equations : a programmed text
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Robert Denney Strum
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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
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by
Werner Balser
Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power ...
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Nonlinear Evolution Equations and Related Topics
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by
Wolfgang Arendt (Editor), Haim Brezis (Editor), Michel Pierre (Editor)
Philippe Benilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of nonlinear evolution equations. The present volume is dedicated to him and contains research papers written by highly distinguished mathematicians. They are all related to Benilan's work and reflect the present state of this most ...
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Adjoint Equations and Perturbation Algorithms in Nonlinear Problems
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Guriai Ivanovich Marchuk, Valeri I Agoshkov, Marchuk I Marchuk
Sparked by demands inherent to the mathematical study of pollution, intensive industry, global warming, and the biosphere, "Adjoint Equations and Perturbation Algorithms in Nonlinear Problems" is the first book ever to systematically present the theory of adjoint equations for nonlinear problems, as well as their application to perturbation ...
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Linear Differential Equations and Group Theory from Riemann to Poincare
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by
Jeremy Gray
This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and on-Euclidean geometry. The text for this second ...
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Oscillation theory of two-term differential equations
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by
Elias
This volume is about oscillation theory. In particular, it considers the two-term linear differential equations Lny + p(x)y = 0, where Ln is a disconjugate operator of order n and p(x) has a fixed sign. Special attention is paid to the equation y(n) + p(x)y = 0. These equations enjoy a very rich structure and are the natural generalization of the ...
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The Complex Wkb Method for Nonlinear Equations I
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V P Maslov
When this book was first published (in Russian), it proved to become the fountainhead of a major stream of important papers in mathematics, physics and even chemistry; indeed, it formed the basis of new methodology and opened new directions for research. The present English edition includes new examples of applications to physics, hitherto ...
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Basic Linear Partial Differential Equations
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by
Francois Treves
Focusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students employs nontraditional methods to explain classical material. Topics include the Cauchy problem, boundary value problems, and mixed problems and evolution equations. Nearly 400 exercises enable students to reconstruct ...
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Analysis of linear systems
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by
Cheng
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Multilevel Block Factorization Preconditioners: Matrix-Based Analysis and Algorithms for Solving Finite Element Equations
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by
Panayot Vassilevski, Panaiot Vasilevski
This monograph is the first to provide a comprehensive, self-contained and rigorous presentation of some of the most powerful preconditioning methods for solving finite element equations in a common block-matrix factorization framework. Topics covered include the classical incomplete block-factorization preconditioners and the most efficient ...
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Galois Theory of Linear Differential Equations
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F F Povacz, Marius Van Der Put, Michael F Singer
Linear differential equations form the central topic of this volume, Galois theory being the unifying theme. A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and ...
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Large-Time Behavior of Solutions of Linear Dispersive Equations
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by
Daniel Beach Dix
This book studies the large-time asymptotic behavior of solutions of the pure initial value problem for linear dispersive equations with constant coefficients and homogeneous symbols in one space dimension. Complete matched and uniformly-valid asymptotic expansions are obtained and sharp error estimates are proved. Using the method of steepest ...
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Wave Asymptotics
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by
P A Martin (Editor), G R Wickham (Editor), Fritz Ursell
The occasion of Professor Fritz Ursell's retirement was marked by a two-day meeting consisting of invited talks by some of the most distinguished researchers in the various topics of fluid mechanics and asymptotics studied by Professor Ursell throughout his long and distinguished career. The papers collected here outline the development of fluid ...
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Seminar on Singularities of Solutions of Linear Partial Differential Equations
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Lars Hormander (Editor)
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Operator Theory and Indefinite Inner Product Spaces
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Matthias Langer (Editor), Annemarie Luger (Editor), Harald Woracek (Editor)
A colloquium on operator theory was held in Vienna, Austria, in March 2004, on the occasion of the retirement of Heinz Langer, a leading expert in operator theory and indefinite inner product spaces. This book contains fifteen refereed articles reporting on recent and original results in various areas of operator theory, all of them related with ...
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A Course in Ordinary Differential Equations
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by
Randall J Swift
The first contemporary textbook on ordinary differential equations (ODEs) to include instructions on MATLAB[registered], Mathematica[registered], and Maple , "A Course in Ordinary Differential Equations" focuses on applications and methods of analytical and numerical solutions, emphasizing approaches used in the typical engineering, physics, or ...
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Well-Posed Linear Systems
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Olof Staffans, G -C Rota (Editor), B Doran (Editor)
Many infinite-dimensional linear systems can be modelled in a Hilbert space setting. Others, such as those dealing with heat transfer or population dynamics, need to be set more generally in Banach spaces. This is the first book dealing with well-posed infinite-dimensional linear systems with an input, a state, and an output in a Hilbert or Banach ...
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New Parallel Algorithms for Direct Solution of Linear Equations
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by
C Siva RAM Murthy, Srinivas Aluru, K N Balasubraman Murthy
Systems of linear equations arise frequently in engineering systems analysis, and methods of solving these systems are an increasing area of research required to improve speed, fault tolerance, and scalability. This book presents new research in the area of solving linear equations. Readers will find that instead of "parallelizing" the usual ...
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Half-Linear Differential Equations
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by
Ondrej Doly, Pavel Rehak, Ondrej Dosly
The book presents a systematic and compact treatment of the qualitative theory of half-linear differential equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing theory of half-linear differential equations in a unified form. The main topics covered by ...
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Attractivity and Bifurcation for Nonautonomous Dynamical Systems
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Martin Rasmussen
Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and ...
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Method of Averaging for Differential Equations on an Infinite Interval: Theory and Applications
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by
Vladimir Burd
In recent years, mathematicians have detailed simpler proofs of known theorems, have identified new applications of the method of averaging, and have obtained many new results of these applications. Encompassing these novel aspects, "Method of Averaging of the Infinite Interval: Theory and Applications" rigorously explains the modern theory of the ...
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Differential Equations, Discrete Systems and Control, Economic Models
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Aristide Halanay, Judita Samuel
This volume presents important mathematical tools for studying economic models. It contains basic topics concerning linear differential equations and linear discrete-time systems; a sketch of the general theory of nonlinear systems and the stability of equilibria; an introduction to numerical methods for differential equations; and some ...
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Linear Differential & Differen
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by
Robert M Johnson
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Global Analysis in Linear Differential Equations
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by
Mitsuhiko Kohno
This work treats several topics on the global analysis of linear differential equations in the complex domain, using original methods of analysis developed by K. Okubo and the present author. For example, global analysis of linear differential equations is closely related to that of linear difference equations. Through the asymptotic behaviour of ...
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