Advanced Numerical Analysis 2
A.Y. 2025/2026
Learning objectives
Presentation of advanced methods for the numerical solution of ordinary differential equations and introduction in their error analysis.
Expected learning outcomes
The ability to assess, implement, and interpret the results of the considered numerical methods for initial value problems.
Lesson period: Second semester
Assessment methods: Giudizio di approvazione
Assessment result: superato/non superato
Single course
This course can be attended as a single course.
Course syllabus and organization
Single session
Responsible
Lesson period
Second semester
Course syllabus
Supplementary material to the arguments of "Numerical Analysis 2", covering in particular multi-step methods.
Prerequisites for admission
Numerical Analysis 2. Analysis and Linear Algebra. Basic knowledge of the programming language C.
Teaching methods
Lectures, exercises and lab sessions.
Teaching Resources
P. Deuflhard, F. Bornemann, Scientific computing with ordinary differential equations, Springer 2002
E. Hairer, S. P. Norsett, G. Wanner, Solving ordinary differential equations I. Nonstiff problems, 2a edizione, Springer 1993
E. Hairer, G. Wanner, Solving ordinary differential equations II. Stiff and differential-algebraic problems, 2a edizione, Springer, 1996
E. Hairer, S. P. Norsett, G. Wanner, Solving ordinary differential equations I. Nonstiff problems, 2a edizione, Springer 1993
E. Hairer, G. Wanner, Solving ordinary differential equations II. Stiff and differential-algebraic problems, 2a edizione, Springer, 1996
Assessment methods and Criteria
The examination, with the result passed/non passed, is done together with the exam of the course "Numerical Analysis 2" under the following condition of the latter. For the first option of the written part, at least one submitted problem has to pertain to "Advanced Numerical Analysis 2".
MAT/08 - NUMERICAL ANALYSIS - University credits: 3
Laboratories: 36 hours
Professors:
Veeser Andreas, Zanotti Pietro
Professor(s)