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Seminar Numerical Mathematics

News
24.03.2015

Students interested in participating in the seminar can contact me directly per Email. Please mention subject of your particular interest or title of your bachelor thesis, if available.


Summer semester 2015
Title:
Seminar Numerical Mathematics
Time and Place:
Wednesday 14:00 - 16:00, MA 750
Period:
15.04.2015 util 15.07.2015
Language:
german/english
Office hours:
Tue 12:00 - 14:00
Syllabus:
Selected topics from the field of numerical mathematics, e.g.,
  • iterative solvers for linear systems and eigenvalue problems,
  • iterative solvers and preconditioners in Finite Element computations,
  • perturbation theory for eigenvalue problems (linear/nonlinear),
  • low-rank approximations,
  • Big Data analysis,
  • ...
Schein criteria:
Information [1]
Information:
Vorlesungsverzeichnis [2]
Suggested Subjects
Krylov Subspace Methods
Flexible Inner-Outer Krylov Subspace Methods [3]
Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing [4]

On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods [5]

Eigenvalue Problems
Analysis of Subspace Iteration for Eigenvalue Problems with Evolving Matrices [6]

Refined Perturbation Bounds for Eigenvalues of Hermitian and Non-Hermitian Matrices [7]

Dynamical Systems and Non-Hermitian Iterative Eigensolvers [8]

Ritz Value Localization for Non-Hermitian Matrices [9]

Short-term Recurrence Krylov Subspace Methods for Nearly Hermitian Matrices [10]

Analysis of Subspace Iteration for Eigenvalue Problems with Evolving Matrices [11]
Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations. I. Conjugate Gradient Methods [12]
Spectral Recycling Strategies for the Solution of Nonlinear Rigenproblems in Thermoacoustics [13]

Numerical Linear Algebra and PDEs
Distribution of the Discretization and Algebraic Error in Numerical Solution of Partial Differential Equations [14]

Preconditioning Techniques for Reduced Basis Methods for Parametrized Partial Differential Equations [15]

Complementarity Based a Posteriori Error Estimates and their Properties [16]

Complementary Error Bounds for Elliptic Systems and Applications [17]

Face Recognition
Eigenfaces vs. Fisherfaces: Recognition Using Class Specific Linear Projection [18]

A Review of Fast l1-Minimization Algorithms for Robust Face Recognition [19]
Facial Recognition Using Tensor-Tensor Decompositions [20]

Face Recognition Based on Deep Learning [21]
Networks
Think Locally, Act Locally: The Detection of Small, Medium-Sized, and Large Communities in Large Networks [22]
Pagerank Beyond the Web [23]
Presentations
Date
Title
Name
15.04.2015
Organizational Meeting
Agnieszka Miedlar
22.04.2015
LaTeX and Beamer:

BeamerTemplate.tex [24]
bibliography.bib [25]
modeling.eps [26]*
nanostructures.eps [27]*
tulogo_rot.eps [28]

*Pictures from
E. Yablonovitch Photonic Crystals: Semiconductors of Light, Scientific American, 2001.
Agnieszka Miedlar
29.04.2015
Short Introduction to FEM
Agnieszka Miedlar
06.05
Bounds for Eigenvalue under Hermitian Perturbations of Rank One
Dennis
13.05
A posteriori Error Estimations For Elliptic PDEs with Small Uncertainties
Max
20.05
Analysis of Linear Variable Coefficient Delay DAEs
Viola
27.05
Solving Constrained Mechanical Systems by the Family of Newmark and Generalized alpha-Methods
Mathias
03.06
Sparse Methods for Biomedical Data
Sabrina
24.06
Flexible Inner-Outer Krylov Subspace Methods
Sarah
01.07
Communities in Graphs
Ramona
08.07
Carlo

 

 

 

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