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
Hilbert Space Methods for Partial Differential Equationsby R. E. Showalter - Pitman
Written for beginning graduate students of mathematics, engineering, and the physical sciences. It covers elements of Hilbert space, distributions and Sobolev spaces, boundary value problems, first order evolution equations, etc.
(10275 views)
Mathematical Theory of Scattering Resonancesby Semyon Dyatlov, Maciej Zworski - MIT
Contents: Scattering resonances in dimension one; Resonances for potentials in odd dimensions; Black box scattering in Rn; The method of complex scaling; Perturbation theory for resonances; Resolvent estimates in semiclassical scattering; etc.
(4771 views)
Solving PDEs in Pythonby Hans Petter Langtangen, Anders Logg - Springer
This book offers a concise and gentle introduction to finite element programming in Python based on the popular FEniCS software library. Using a series of examples, it guides readers through the essential steps to quickly solving a PDE in FEniCS.
(648 views)
Nonlinear Partial Differential Equations of Elliptic Typeby Vicentiu Radulescu - arXiv
This textbook provides the background which is necessary to initiate work on a Ph.D. thesis in Applied Nonlinear Analysis. The purpose is to provide a broad perspective in the subject. The level is aimed at beginning graduate students.
(5068 views)