Numerical approximation of partial differential equations

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Project Description

The numerical approximation of partial differential equations is a relevant field of applied mathematics. Several projects are available at my research group, ranging from purely theoretical studied to more applied and computational tasks. Theoretical project will involve the study and analysis of the properties of the approximation of some partial differential equations. Computational projects are related to the implementation and testing of research codes for scientific computing. The areas of applications include electromagnetism, structural mechanics, fluid-dynamics, fluid-structure interactions.
Program - Applied Mathematics and Computer Science
Division - Computer, Electrical and Mathematical Sciences and Engineering
Field of Study - Numerical analysis, Applied Mathematics, Scientific Computing

About the
Researcher

Daniele Boffi

Professor, Applied Mathematics and Computational Science

Daniele Boffi
Professor Boffi's research interests are related to the numerical approximation of partial differential equations. His expertise includes the finite element methods, mixed finite elements, the numerical approximation of eigenvalue problems; his research is mainly applied to fluid-dynamics, interactions of fluids and structures, and electromagnetism.

Desired Project Deliverables

Implementation and testing of the proposed algorithms. Study and analysis of the properties of approximating schemes for partial differential equations.

RECOMMENDED STUDENT ACADEMIC & RESEARCH BACKGROUND

Basis Mathematical Analysis
Basis Mathematical Analysis
Basic Numerical Analysis
Basic Numerical Analysis
Basic Programming
Basic Programming