Course

MATH-451: Numerical approximation of PDEs

Summary

This course covers the derivation, theoretical analysis, and implementation of the finite element method for the numerical approximation of partial differential equations in one and two spatial dimensions.

Lectures

Instructors (2)

Annalisa Buffa

Teaching & PhD PhD Students Gonzalo Bonilla Moreno, Philipp Christoph Weder, Yannis Dirk Voet, Fabio Marcinno, Ferhat Sindy, Francesco Sala, Markus Renoldner, Mohamed Ben Abdelouahab, Davor Dobrota Past EPFL PhD Students Luca Coradello, Ondine Chanon, Riccardo Puppi Courses Numerical approximation of PDEs MATH-451 The course is about the derivation, theoretical analysis and implementation of the finite element method for the numerical approximation of partial differential equations in on

Pablo Antolin Sanchez

Teaching & PhD PhD Students Philipp Christoph Weder, Davor Dobrota Past EPFL PhD Students as codirector Ondine Chanon Courses Analysis III MATH-202(c) The course studies the fundamental concepts of vector analysis and Fourier-Laplace analysis with a view to their use in solving multidisciplinary problems in scientific engineering. Analysis III (for IC) MATH-203(d) The course studies the fundamental concepts of vector analysis and Fourier-Laplace analysis with a view to thei

Official source

https://edu.epfl.ch/coursebook/en/numerical-approximation-of-pdes-MATH-451

Moodle Page

http://go.epfl.ch/MATH-451

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Summary

Lectures

Instructors (2)

Annalisa Buffa

Pablo Antolin Sanchez

Official source

https://edu.epfl.ch/coursebook/en/numerical-approximation-of-pdes-MATH-451

Moodle Page

http://go.epfl.ch/MATH-451

Lectures in this course (47)

Elliptic Equations: Well-Posedness and Comparison Principle

Explores well-posedness and comparison principles for elliptic equations and their implications.

Numerical Computing: Stability and Error Analysis

Explores numerical computing stability, error analysis, and truncation error impact.

Stability and Convergence in Numerical Methods

Explores stability, consistency, and convergence in numerical methods, emphasizing the importance of order consistency and boundary conditions.

Finite Difference Methods: Stability Analysis

Explores the stability analysis of finite difference methods for solving differential equations.

Numerical Methods: Lecture 4

Covers band matrices, linear systems, stability analysis, and boundary corrections in numerical methods.

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