Partial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics.
The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis.
Partial Differential Equations: Qualitative studies of linear equations
This book offers an ideal graduate-level introduction to the theory of partial differential equations.
This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view.
S. Dahlke, W. Dahmen, R. DeVore, Nonlinear approximation and adaptive techniques for solving elliptic operator equations, in: W. Dahmen, A. Kurdila, P. Oswald (Eds), Multiscale Wavelet Methods for PDEs, Academic Press, London, 1997, pp.
Let me begin by explaining the meaning of the title of this book. In essence, the book studies boundary value problems for linear partial differ ential equations in a finite domain in n-dimensional Euclidean space.
In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities.
Constantin/Foias/NicolaenkofTemam: Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations. 71. Catlin: Estimation, Control, and the Discrete Kalman Filter. 72. Lochak/Meunier: Multiphase Averaging for ...
This method is global in scope in that it will solve accurately operator equations involving differential operators describing general dynamical systems which may be nonlinear and stochastic. Such systems lead to nonlinear stochastic ...
Intended for a college senior or first-year graduate-level course in partial differential equations, this text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies...
A fresh, forward-looking undergraduate textbook that treats the finite element method and classical Fourier series method with equal emphasis.
This book is based on a course I have given five times at the University of Michigan, beginning in 1973.
Covers the fundamental properties of partial differential equations (PDEs) and proven techniques useful in analyzing them.
It provides qualitative physical explanation of mathematical results while maintaining the expected level of it rigor. This text introduces and promotes practice of necessary problem-solving skills.
Sections which are more fundamental to the text are highlighted, allowing the instructor several alternative learning paths. The author's unique pedagogical style also makes the text ideal for self-learning.
Haberman, R., Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 4th ed., ... Weinberger, H.F., A First Course in Partial Differential Equations with Complex Variables and Transform Methods, ...
A rigorous introduction to the abstract theory of partial differential equations progresses from the theory of distribution and Sobolev spaces to Fredholm operations, the Schauder fixed point theorem and Bochner integrals.
This is the second edition of the now definitive text on partial differential equations (PDE).
The text emphasizes the acquisition of practical technique in the use of partial differential equations.