No polls currently selected on this page!


Repository is empty

Numerical solution of partial differential equations 1

Code: 92927
ECTS: 5.0
Lecturers in charge: prof. dr. sc. Mladen Jurak
English level:


All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.

1. komponenta

Lecture typeTotal
Lectures 45
* Load is given in academic hour (1 academic hour = 45 minutes)
COURSE AIMS AND OBJECTIVES: The aim of the course is to introduce classical and modern methods of solving of linear and nonlinear partial differential equations. Finite difference method.

1. Finite difference method. Application of the method to the Cauchz problem for linear parabolic and hzperbolic equation in one space dimension. Introduction of the notion of transport and diffusion and their numerical approximation. Consistence, stability and convergence of the method. Lax-Richtmyer equivalence theorem. CFL condition, region of influence for hyperbolic equation. Von Neumann stability analysis. Overview of basic schemes and their stability. Applications: testing of basic schemes in any programming language.
2. Finite difference method for nonlinear conservation laws. Hyperbolic conservation laws. Scalar equation: characteristics, shocks, Rankine-Hugoniot condition, viscous solution and entropz condition (Kružkov entropz condition). Discretization: conservative schemes, monotone schemes, TVD schemes. Applications: LeVeque software package CLawpack.
Prerequisit for:
Enrollment :
Passed : Partial differential equations 1
3. semester
Mandatory course - Regular study - Applied Mathematics
Consultations schedule:
  • prof. dr. sc. Mladen Jurak:

    Wednesday 14-16h. Please register in advance by an e-mail.

    Location: 220