Seminar on Numerical Analysis

letzte Änderung: 2021-10-01

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Seminar on Numerical Analysis

Monotone mappings

(Course Id 327.014, 2 hours per week, semester 5)

Supervisors: A.Univ.-Prof. Dr. Helmut Gfrerer

Start of the seminar: Tue, 2020-10-06, 13:45 - 15:15 Uhr, Room: S2 054



- Seminar Topics up


Seminar 01: 2020-10-06
Introduction
Seminar 02: 2020-10-13
Title: Phase Field Problems
Literature:  
Student:     D. Jodlbauer
Seminar 03: 2020-10-20
Title: Monotone Operatores: Definition and examples
Literature:   [1, Ch.20.1]
Student:     M. Mandlmayr
Seminar 04: 2020-10-27
Title: Maximally Monotone Operators
Literature:   [1, Ch.20.2]
Student:     R. Schneckenleitner
Seminar 05: 2020-11-03
Title: Bivariate Functions and the Fitzpatrick function
Literature:   [1, Ch.20.3 + 20.4]
Student:     A. Schafelner
Seminar 06: 2020-11-10
Title: Minty's Theorem, Domain and Range
Literature:   [1, Ch.21.1 + 21.3]
Student:     D. Jodlbauer
Seminar 07: 2020-11-17
Title: Local Boundedness and Surjectivity, Kenderov's Theorem
Literature:   [1, Ch.21.4 + 21.5]
Student:     M. Mandlmayr
Seminar 08: 2020-11-24
Title: Strong and uniform monotonicity, Resolvents
Literature:   [1, Ch.22.1 (Str.+unif.Mon.), 23.1 + 23.2]
Student:     R. Schneckenleitner
Seminar 09: 2020-12-01
Title: Resolvent calculus and zeros of monotone operators
Literature:   [1, Ch.23.4 + 23.5]
Student:     A. Schafelner
Seminar 10: 2020-12-15
Title: Proximity based operators
Literature:   [1, Ch.24.1 + 24.2]
Student:     D. Jodlbauer
Seminar 11: 2021-01-12
Title: Splitting methods
Literature:  
Student:     M. Benko
Seminar 12: 2021-01-19
Title: Tba
Literature:  
Student:     N.N.
Seminar 13: 2021-01-26
Title: Tba
Literature:  
Student:     N.N.


- Literature up

[1]   H.H. Bauschke, P.L. Combettes, Convex Analysis and Monotone Operator Theory in Hilbert Spaces, Springer, 2011

- Participants up

Jodlbauer Daniel
Mandlmayr Michael
Mitter Ludwig
Schafelner Andreas
Schneckenleitner Rainer

- General Remarks up