Applied Mathematics

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Applied Mathematics

In the Department of Applied Mathematics, we focus on innovative use of mathematics and numerical methods within science and engineering. We offer leading expertise in geometry, optimization, simulation, and visualization methods. Our funding is through contracts with industry, the public sector, the European Union, and the Research Council of Norway.

Isogeometric Analysis

Efficient integration of CAD and FEM analysis.
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Challenges in Isogeometric Analysis, presentation at SIAM Annual meeting 2012.for audio of presentation click here.

GPU Computing

We work directly with design of algorithms and their efficient implementation on modern GPU architectures. This requires a deep understanding of the hardware and the problem area.
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Visual Computing

We work with advanced visualization techniques for interactive visualization of large scientific datasets. The mere size of 3D datasets makes it a challenge to achieve realtime visualization.
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HPC & Cloud Computing

We work with integrating the power of a supercomputer into mobile devices, such as laptops and iPhones, by the use of cloud computing. Efficient use of scalable GPU resources in a cloud is a challenging research task.
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Local Wind Prediction

To avoid airplane accidents, opening up airport bottlenecks and harvesting offshore wind potential.
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Locally Refined B-splines

A 25 minutes Lecture on LR B-splines given at Curves and Surfaces, Oslo, June 28 – July 3, 2012.
4 lectures on Locally Refined B-splines from the CIME Summer School on Isogeometric Analysis June 18-22, 2012
4 lectures on Locally Refined B-splines from the ACCAM advanced school on Isogeometric Analysis September 7-9, 2012, Vienna
Presentation on LR B-splines and represetantion of measured shape at EUROMED 2012, 3D Workshop, Cyprus, October 30, 2012
Locally Refinable Splines over Box-Partitions preprint of paper click here., and Final Version published in CAGD click here.
SINTEF Report: On the dimension of multivariate spline spaces click here.
Video recorded talk at Algebraic Geometry and Geometric Modeling at Banff International Research Station for Mathematical Innovation and Discovery on Locally Refined B-splines and Linear Independence click here.
Presentation at Advances in Computational Mechanics (ACM 2013) in San Diego February 26,2013 addressing LR B-splines and the relation to T-splines click here.

Approximate algebraic geometry

Development of floating point based algorithms for algebraic geometry challenges facilitate industrial use.
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Multiscale reservoir simulation

Direct simulation of geocellular models or superfast computation of flow responses.
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CO₂ storage

New methods for mathematical modelling and risk analysis of CO₂ storage operations. We focus on the impact of geological uncertainty on risk assessment and on development of fast simulation tools .
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Open-source simulators

We are developing two different open-source tools for simulation of flow and transport in porous media using Matlab or C/C++ as part of the Open Porous Media (OPM) initiative.
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Transportation planning

Automated, optimized planning of transportation to reduce costs and environmental effects, to increase profits, and to improve customer service.
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Decision support in health care

Optimization of personnel rostering and surgery scheduling to improve the quality and efficiency in health care services.
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Geometry toolkits

Over many years, SINTEF has developed many software libraries for computational geometry as part of research and industrial projects. These libraries are available under the GPL license.
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Computational Geometry

Computational geometry is the research field that relates to the shape, description, and properties of physical objects. SINTEF Oslo has been a key player in this field for five decades.
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