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Department of Mathematics and Applications
"Renato Caccioppoli"


Numerical Solution of Partial Differential Equations

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Numerical Solution of Partial Differential Equations

Credits

6

Prerequisites

Numerical Computing and Programming.

Examination method

Oral exam, assessment of the laboratory work.

Learning
objectives

The course mainly concerns the study of methods and algorithms for the numerical solution of problems described by partial differential models. The main differential operators (elliptic, parabolic and hyperbolic) will be examined and, through the numerical and algorithmic analysis of the solution stages, the course aims to introduce students to the issues underlying the solution of application models.

Contents

Preliminary concepts and definitions on partial differential operators. Numerical solution of partial differential operators (elliptic, parabolic, hyperbolic), Finite difference method, Finite volume method. Level-set formulation in image analysis. Navier-Stokes equations in ocean circulation models.

Academic Year
2018/2019

Lecturer: Luisa D’AMORE.

Semester: first.

Syllabus: see the dedicated page.