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The aim of this course is to provide students with the theoretical understanding of how a geographic database is built-up and how it can be used. You will study key concepts for handling geographic databases with special focus on spatial…

The course contains a number of different basic components of spatial analysis, both in terms of theoretical background and analytical methods. Some of the concepts and techniques covered in the course are point pattern analysis,…

The aim of this course is to give the underlying mathematical and computer science theory required in GIS. This knowledge is necessary to evaluate the results in an analysis and to carry out more advanced analyses where the tools not are…

The aim of this course is to study the use of GIS in a client-server environment, where communication takes place through the Internet. Part of the course deals with computer screen cartography. The lectures deal with the most important…

The course provides theoretical and practical knowledge of advanced GIS methods and their applications in environmental sciences, spatial analysis, and decision-making. A central theme of the course is research reproducibility, where…

Simulation models are important tools and are used in administrations and companies to produce a basis for environmental policy decisions and planning, but the systems are also used in research contexts to describe complex systems and…

The course covers elementary programming concepts (arithmetic expressions, for-loops, logical expressions, if-statements, functions and classes) that are closely connected to mathematical/technical problems and examples, as well as…

The course covers: Basic iterative methods for linear and non-linear systems of linear equations, matrix factorisations and condition number; Convergence of iterative methods; Interpolation and quadrature; Discretisation of…

The course covers: Direct and/or iterative solution methods for various linear algebra problems such as linear systems of equations, eigenvalue problems and the least-squares method,  Matrix and vector norms, orthogonalisation,…

The degree project requires a literature survey and specialised studies. Furthermore, a number of compulsory activities are included, in the form of teaching sessions and seminars that treat e.g. scientific writing in English and Swedish,…

The degree project requires a literature review and special studies. In addition, it includes a number of compulsory elements, in the form of lessons and seminars, which deal with, among other things, scientific writing in English and…

The course treats: Object-oriented programming style for scientific computing. SciPy/NumPy data structures. Examples of complex numerical algorithms from different fields within numerical analysis. Coupling to numerical libraries in C…

Simulation techniques is a field which merges experience in modelling with knowledge in Scientific Computing and programming skills. The course gives students in a late stage of their university studies the possibility to work, in small…

The course is preparatory for a master's thesis in numerical analysis. The overarching goal of the course is that students acquire in-depth knowledge in a specialised area of numerical analysis and are introduced to current research in the…

The course covers: Models of computational fluid dynamics Hyperbolic conservation laws and their basic properties (weak solutions, weak entropy solutions, shocks) Discontinuous Galerkin discretizations Simulations of gas dynamics…

The course treats: Methods for time integration: Euler’s method, the trapezoidal rule. Multistep methods: Adams' methods, backward differentiation formulae. Explicit and implicit Runge-Kutta methods. Error analysis, stability and…

The course gives an introduction to error estimates, convergence and stability, as well as existence and regularity of solutions to elliptic differential equations (PDEs). This is followed by an introduction to DUNE-FEM which discusses how…

The course provides students with a general overview of the development of Greek from Antiquity to the present, focusing on the period from the late Byzantine to the modern era with regard to changes in sound system, grammar and syntax…