faculty of mathematics and geoinformation dean: d. dorninger two departments mathematics surveying...
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FACULTY OF MATHEMATICS AND GEOINFORMATION
Dean: D. Dorninger
TWO DEPARTMENTS
MATHEMATICSSURVEYING AND GEOINFORMATION
FACULTY OF MATHEMATICS AND GEOINFORMATION
DEPARTMENT OF MATHEMATICS
Institute of Analysis and Scientific ComputingInstitute of Discrete Mathematics and GeometryInstitute of Mathematical Methods in EconomyInstitute of Statistics and Probability Theory
INSTITUTE OF ANALYSIS AND SCIENTIFIC COMPUTING (E 101)
Magnetic field and potential of a
cobalt plate: multi-scale problem;
FEM-discretization for a non
convex minimization problem
Simulation of a solid under extreme temperature and density conditions;
computation on fastest computer on earth: IBM BlueGene/L
Bell-Award 2006 – world record!
INSTITUTE OF ANALYSIS AND SCIENTIFIC COMPUTING (E 101)
Analysis of the cardiovascular system: modell identification (system of differential equations) with coupling to medical databases
electric stimulation of spinal cord
stimulationof acoustic
nerve
brain stimulation
retina stimulation
Electrical stimulation with nerval prosthesis:modelling & simulation with partial and ordinary differential equations
Algebra
INSTITUTE OF DISCRETE MATHEMATICS AND GEOMETRY (E 104)INSTITUTE OF DISCRETE MATHEMATICS AND GEOMETRY (E 104)
Mathematical Analysis of Algorithms
Convex und Discrete Geometry
Computational Logic
Error Correcting Codes
Fuzzy Logic in Medicine
INSTITUTE OF DISCRETE MATHEMATICS UND GEOMETRY (E 104)INSTITUTE OF DISCRETE MATHEMATICS UND GEOMETRY (E 104)
Geometric Modelling and Industrial Geometry
Differential Geometry and Geometric Structures
INSTITUTE OF MATHEMATICAL METHODS IN ECONOMICS INSTITUTE OF MATHEMATICAL METHODS IN ECONOMICS (E 105) (E 105)
Stock Price, Interest Rate and Credit Risk Modelling
Derivatives Pricing
Portfolio Optimization
Ruin Probability, Financial Risk Management
Life Tables (Chart: Logarithmic Male Mortality in Austria)
CD-Laboratory for Portfolio Risk Management (www.prismalab.at)
(Joint Research with Bank Austria, Austrian Federal Financing Agency, FJA)
Research Unit Financial and Actuarial Mathematics (FAM)
Data driven Modelling
Development of Methods (in particular for Time Series):
Modelling High-Dimensional Time Series, Factor Models,
Multivariate Volatility Models
Applications in Economics and Business, Technology and Medicine:
Macroeconomics, Housing Sector, Forecasting of Business and Financial Data,
Analysis of Electroencephalograms
Research Unit Econometrics and System Theory (EOS)
INSTITUTE OF MATHEMATICAL METHODS IN ECONOMICS (E 105)
Simulation of Evolutionary Economic Systems
The Role of Endogenous Preferences and Status in Dynamic Economic Models.
Age Structured, Dynamic Models
(Application in Health and Labor Economics
and New Economic Geography)
Macroeconomic Modelling
Agent Based Computational Modelling
Research Unit Economics (ECON)
Development of New Methods for Model Based Decision Support:
Operations Research, Optimization, Control, Dynamic Games
Applications in Economics, Management, Engineering, Social Sciences, Public Health Care
Recent Topics: Heterogeneous Population/Economic Systems,
Control of Contagious Phenomena,
Indeterminacy in Multi-Stage and Stochastic Models,
Multi-Agent Modeling in Games and Auctions
Research Unit Operations Research and Control Systems (ORCOS)
INSTITUTE OF STATISTICS AND PROBABILITY THEORY (E 107)INSTITUTE OF STATISTICS AND PROBABILITY THEORY (E 107)
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Main Research FieldsMain Research Fields
• Engineering StatisticsEngineering Statistics• Statistical Analysis of Fuzzy InformationStatistical Analysis of Fuzzy Information• GeostatisticsGeostatistics• Probability Theory and Stochastic ProcessesProbability Theory and Stochastic Processes• Reliability AnalysisReliability Analysis
FACULTY OF MATHEMATICS AND GEOINFORMATION: STUDIES
Bachelor, Master, Doctorates and Secondary School Teachers Accreditation
Mathematics in Science and TechnologyMathematics in Computer ScienceStatistics and Mathematics in EconomicsFinancial and Actuarial Mathematics
Mathematics, Descriptive Geometry
Surveying Science and Cadastral ResearchGeodesy and GeophysicsGeoinformation and Cartography
Any student of the Vienna University of Technology has to take courses in mathematics!
THE INSTITUTES OF THE DEPARTMENT THE INSTITUTES OF THE DEPARTMENT FOR SURVEYING AND GEOINFORMATIONFOR SURVEYING AND GEOINFORMATION
Institute of Photogrammetry and Remote Sensing Institute of Photogrammetry and Remote Sensing Institute of Geoinformation and Cartography Institute of Geoinformation and Cartography Institute of Geodesy und GeophysicsInstitute of Geodesy und Geophysics
FACULTY OF MATHEMATICS AND GEOINFORMATION
INSTITUTE OF PHOTOGRAMMETRY AND REMOTE SENSING (E122)
Vienna University of Technology and Karlsplatz in an aerial image
… 3D models (no images), providing documentation and perspective views from arbitrary positions.
Remote Sensing ExampleAirborne Geo-data acquisition
Photogrammetry Example: Terrestrial Laser Scanning Photogrammetric methods deliver …
Environmental Monitoring
• Changes in Snow and ice cover Soil moisture Vegetation, etc.
Due to climate change floods and droughts occur more frequently.
© ESA & EUMETSAT
INSTITUTE OF GEOINFORMATION AND CARTOGRAPHY (E127)INSTITUTE OF GEOINFORMATION AND CARTOGRAPHY (E127)
Location Based Services
from data to information
example: car navigationSelection?
Strategy?Solution?Quality?Presentation?
Which questions arise when providing geoinformation?
other data
attributes of streets
ownership structure
geometry of streets
INSTITUTE OF GEODESY AND GEOPHYSICS (E 128)INSTITUTE OF GEODESY AND GEOPHYSICS (E 128)
EARTH: EARTH: size and shape of the Earth, gravity field, Earth rotation, atmosphere, positioning (GPS, ...)size and shape of the Earth, gravity field, Earth rotation, atmosphere, positioning (GPS, ...)
Research Group Advanced Geodesy
Research Group Engineering GeodesyResearch Group Engineering Geodesy
CIVIL WORKS AND NATURAL STRUCTURESCIVIL WORKS AND NATURAL STRUCTURES
Shape, position, motion and deformation of Shape, position, motion and deformation of objects like bridges, tunnels, dams, high rising objects like bridges, tunnels, dams, high rising buidlings, landslidesbuidlings, landslides
Setting out and monitoringSetting out and monitoring