Larsson Stig, Thomee Vidar. Partial Differential Equations with Numerical Methods

Springer Science & Business Media, 2008. — 262 p.A TwoPoint Boundary Value Problem
The Finite Element Method for a Parabolic Problem
Elliptic Equations
Finite Difference Methods for Elliptic Equations
Finite Element Methods for Elliptic Equations
The Elliptic Eigenvalue Problem
InitialValue Problems for Ordinary Differential Equations
Parabolic Equations
Hyperbolic Equations
The Finite Element Method for Hyperbolic Equations
Some Other Classes of Numerical Methods
Some Tools from Mathematical Analysis
Orientation on Numerical Linear Algebra