Name Activity "Public Health and Primary Care, Kulak Kortrijk Campus" "Public Health and Primary Care, Kulak Campus Kortrijk  with a focus on community health, best practice and health policy" "Numerical Analysis and Applied Mathematics (NUMA)" "Raf Vandebril" "NUMERICAL APPROXIMATION AND NUMERICAL LINEAR ALGEBRA GROUP (A. Bultheel): * Fast and stable algorithms to solve many problems in mathematics connected to continued fractions, orthogonal functions, rational approximation & interpolation, etc. with applications in signal processing, linear systems, etc.. * Numerical solution of recurrence relations with continued fractions. * Fast and stable algorithms to solve structured linear systems of equations. * Understanding and developing robust numerical methods for the calculation of the (rightmost) eigenvalue(s) of large sparse matrices with applications in the study of stability of equilibrium solutions of dynamical systems. Wavelet based techniques in image processing: compression, denoising, etc.. * Analysis and applications of spline functions: smoothing of curves and surfaces with and without constraints. Modelling of surface with splines in CAGD. Development of a software package smoothing using splines. * Development of educational software for mathematics. NUMERICAL INTEGRATION, NONLINEAR EQUATIONS AND SOFTWARE (R.Cools) Construction of cubature formulas for approximating multivariate integrals using group theory, ideal theory & invariant theory. * Derivation of error expansions and lower bounds for the cost of a cubature formula. * Development of software packages for automatic numerical integration based on heuristic error estimators, adaptive subdivision strategies, etc.. * Root counting of systems of polynominal equations and systems of nonlinear analytic equations. * Understanding and developing homotopy continuation methods for computing all common zeros of systems of polynominal equations. * Development of a software package for solving systems of polynomial equations using homotopy continuation methods and for solving sytems of analytic equations using numerical integration and structural linear systems. SCIENTIFIC COMPUTING (D. Roose) The research group focuses on the development of numerical methods for solving large scale simulation problems in science & engineering. Efficiency, robustness and amenability to implementation on high performance (parallel) computers, are important aspects in the design of the algorithms. * Fast solvers for stationary and time-dependent partial differential equations: iterative methods for elliptic and hyperbolic problems, predonditionig for Krylov subspace methods, multigrid accelaration, domain decomposition; acceleration of waveform relaxation methods for tume-dependent parabolic problems; application and integration of these solvers in software for fluid dynamics. * Fast and robust methods for solving large-scale eigenvalue problems, and application in linear stability analysis * Numerical methods for nonlinear dynamical systems and for bifurcation analysis of nonlinear parameter-dependent problems. Emphasis on partial differential equations and delay differential equations. * Parallel computing aspects of numerical simulation: parallelisation of numerical software for fluid dynamics, hydro- dynamics, etc., algorithms and tools for load balancing and grid partioning for geometrically parallel applications on irregular adaptively refined grids. * Application of wavelet-based methods in image processing: image compression, noise reduction, edge detection; combination of wavelet-based techniques with Bayesian statistics; application to large images in Geographical Image Systems, and to video sequences." "Computer Science, Kulak Kortrijk Campus" "Jan Goedgebeur" "Research topics of this unit are:Computational Graph TheoryMathematical ModellingDiscrete OptimisationMeta and Hyper HeuristicsAlgorithm EngineeringAlgorithms and ConstraintsAlgorithms and Machine LearningAlgorithms and Knowledge RepresentationApplications in Logistics, Production, Health care, Engineering, Physics, E-Learning, Bio-informatics" "Dynamical Systems, Signal Processing and Data Analytics (STADIUS)" "Toon van Waterschoot" "The Stadius Center for Dynamical Systems, Signal Processing, and Data Analytics (STADIUS) is an academic research center, with a research focus on mathematical engineer- ing, where mathematical tools from numerical linear and multi-linear algebra, statistics and optimization are used for applications of dynamical systems and control, signal processing, data modeling and analytics. STADIUS offers recognized expertise in diverse application fields such as industrial automation, audio and speech communication, digital communications, biomedical signal and data processing, and bio-informatics." "Electrical Engineering (ESAT), Kulak Kortrijk Campus" "Lieven De Lathauwer" "Research topics of this unit are:linear and multilinear algebratensor-based signal processing and data miningnumerical tensor algorithmshigher-order statisticsindependent components analysis and blind source separationharmonic analysisfactor analysisidentificationblind identification and equalization." "Department of Computer Science" "Stefan Vandewalle" "The Department of Computer Science consists of five units. Four of these are spread across eight locations in Flanders, with the focal point in Leuven at the Arenberg Campus: Distributed and Secure Software (DistriNet), Declarative Languages and Artificial Intelligence (DTAI), Human-Computer Interaction (HCI), and Numerical Analysis and Applied Mathematics (NUMA). The fifth unit is located at the Kulak Kortrijk Campus (ComputerScience@Kulak).Distributed and Secure Software (DistriNet): Active in research on ICT security, software engineering, and all types of systems and distributed systems. DistriNet performs fundamental research, basic and applied research, as well as valorization in an industrial context. A true pioneer for the Internet in Belgium, and an authority in software security.Declarative Languages and Artificial Intelligence (DTAI): Fundamental and applied research in the fields of Declarative Languages, Machine Learning and Knowledge Representation. Subdivided into two research groups: Machine Learning (an artificial intelligence approach to the analysis of data), Declarative Languages and System (developing rich declarative languages & systems, and their real-world applications).Human-Computer Interaction (HCI): Fundamental and application-oriented research on how people interact with information. Subdivided into five research areas: Virtual, Augmented, and Mixed Reality (ARIA), Data visualization, recommendation and augmentation research (Augment), Human-centered systems for health care, learning, arts and entertainment (e-Media), Computer graphics and advanced graphical rendering algorithms (Graphics), Natural language and multimedia processing, retrieval and interaction (LIIR).Numerical Analysis and Applied Mathematics (NUMA): Development, analysis and implementation of numerical algorithms, and their application in (mainly, but not limited to) science and engineering. Research focusses on fundamental algorithmic innovations and a detailed analysis of their accuracy and efficiency. This work relies on a combination of mathematical insight, design of algorithms, and software development.ComputerScience@Kulak: Fundamental and applied research on heuristic algorithms for combinatorial optimization and their connection to machine learning, and on the engineering of self-adaptive systems, with the aim to mitigate uncertainties that affect modern software-intensive systems. " "Computational Mathematics" "Annie Cuyt" "The research at our group has been targeted at two distinct areas related to the algorithmic and numeric side of scientific computing: -In the area of computer arithmetic we are most involved and known for developing algorithms for the reliable computation of special functions with the focus on validated evaluation. -In the area of numerical techniques we are most engaged with the data-driven modelling, with the focus on linear regression and non-linear regression by rational functions." "Department of Decision Sciences and Information Management, Brussels Campus" "Michel Meulders" "This Research Unit contains the following Research Centres: the ""Centre for Mathematics, Education, Econometrics and Statistics"" or ""MEES"", the ""Centre for Operations Management"" or ""OM"" and the ""Centre for Information Management"" or ""IM""." "Industrial Management/Traffic and Infrastructure (CIB)" "Chris Tampère" "The research of the Centre for Industrial Management is grouped into five areas of expertise: (URL:https://www.mech.kuleuven.be/en/cib/imresearch/scmlog) Logistics & Production Planning The Centre for Industrial Management has built up solid expertise in the areas of production planning, transportation, logistics and supply chain management. Current research projects focus on algorithms for vehicle routing and production planning problems. (URL:https://www.mech.kuleuven.be/en/cib/imresearch/planningpublicsector ) Planning for the Public Sector This research area is concerned with the application of Operational Research concepts and algorithms in the public sector. The Centre for Industrial Management is currently active in research projects in the healthcare sector, public transportation, tourism and the Belgian army.  (URL:http://www.mech.kuleuven.be/en/cib/imresearch/cibdesign) De sign Methodologies & Life Cycle Engineering This research area is concerned with techniques for the evaluation and optimisation of product design, mainly rooted in a Life Cycle Engineering (LCE) approach. Techniques for the assessment of life cycle costs and environmental life cycle impact are considered. Also the development of a new generation of knowledge management systems is a research interest of the division.  (URL:http://www.mech.kuleuven.be/en/cib/industrialmanagement/indus trialmanagementresearch/maintenance) Maintenance This research area is dedicated to maintenance management, with a focus on strategy, performance modelling and MRO supply chain.  (URL:http://www.mech.kuleuven.be/en/cib/imresearch/traffic) Traffic and Infrastructure This research area covers multiple themes: policy analysis and transport system analysis, systematic design of transport networks, intelligent transportation systems, safety, accessibility and sustainability (environment) aspects of the transport system.  " "Operations Research and Statistics Research Group (ORSTAT) (main work address Leuven)" "In operations research, a challenging research area is combinatorial optimization. Next to exact methods such as branch-and-bound, branch-and-price, also approximation algorithms are studied. Assignment and scheduling problems, winner determination problems and research on client-oriented vehicle routing problems are some of the subjects under study. Further emphasis is placed on machine scheduling, resource-constrained project planning and on project portfolio management. Deterministic approaches as well as methods taking the uncertainty into account are investigated. Additionally, nonparametric frontier based methods are studied both theoretically and empirically with applications in a variety of economic domains (e.g., finance, microeconomics and macroeconomics). The statistical research topics cover a range of challenging research subjects. Currently, important topics arising with the availability of data in high dimensions are investigated, as well as topics related to the analysis of incomplete data. This requires dealing with identifiability, estimation and variable selection under sparsity, computational algorithms, robustness, and hypothesis testing. The results can be used in time series analysis, for graphical modeling of e.g. medical data, and for the analysis of duration data, coming from e.g. unemployment studies. Another research area is the design and analysis of experiments with applications in industry, marketing, transportation and health economics.Next to the methodological research, ORSTAT investigates computational aspects, both for statistics and for operations research. In this way the applicability of the proposed methods is facilitated and often software is made available through websites. "