Divulgation
Slides from talks in 2013 for a general scientific audience and for undergraduate students
What do heating your living room, financial investments, and image processing have in common? Elementary introduction to diffusion
Courses
Partial Differential Equations. Undergraduate course. Syllabus
Facultat de Matemàtiques i Estadística, Universitat Politècnica de Catalunya
Advanced Course in Partial Differential Equations. Syllabus
Facultat de Matemàtiques i Estadística, Universitat Politècnica de Catalunya
Facultat de Matemàtiques i Estadística, Universitat Politècnica de Catalunya
Advanced Course in Partial Differential Equations. Syllabus
Facultat de Matemàtiques i Estadística, Universitat Politècnica de Catalunya
References for the PDE courses
- Online PDE solvers by Luis Silvestre. Three solvers. In one of them you may enter your own Finite Differences Scheme. You may use the Clear button in the Wave Equation solver
- First course (Undergraduate-Master): W. A. Strauss, Partial Differential Equations: An Introduction, 2nd edition,Wiley 2007, and M. Shearer & R. Levy, Partial Differential Equations: An Introduction to Theory and Applications, Princeton University Press 2015
- Second course (Master-Graduate): S. Salsa, Partial Differential Equations in Action: From Modelling to Theory, Springer 2008, and H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer 2010
- Third course (Graduate): L. C. Evans, Partial Differential Equations, American Mathematical Society 2010