Introduction to Partial Differential Equations
by Valeriy Serov
Publisher: University of Oulu 2011
Number of pages: 122
Description:
Contents: Preliminaries; Local Existence Theory; Fourier Series; One-dimensional Heat Equation; One-dimensional Wave Equation; Laplace Equation in Rectangle and in Disk; The Laplace Operator; The Dirichlet and Neumann Problems; Layer Potentials; The Heat Operator; The Wave Operator.
Download or read it online for free here:
Download link
(790KB, PDF)
Similar books
Symmetry and Separation of Variablesby Willard Miller - Addison-Wesley
This volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics and the coordinate systems in which the equation admits solutions via separation of variables.
(10513 views)
Partial Differential Equations of Mathematical Physicsby William W. Symes - Rice University
This course aims to make students aware of the physical origins of the main partial differential equations of classical mathematical physics, including the equations of fluid and solid mechanics, thermodynamics, and classical electrodynamics.
(16115 views)
Introduction to the Numerical Integration of PDEsby B. Piette - University of Durham
In these notes, we describe the design of a small C++ program which solves numerically the sine-Gordon equation. The program is build progressively to make it multipurpose and easy to modify to solve any system of partial differential equations.
(13027 views)
An Introduction to D-Modulesby Jean-Pierre Schneiders - Universite de Liege
These notes introduce the reader to the algebraic theory of systems of partial differential equations on a complex analytic manifold. We start by explaining how to switch from the classical point of view to the point of view of algebraic analysis.
(9754 views)