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Numerical Mathematics

2021-08-06

Getting the physics right in simulations

In the simulation of physical processes, some important physical property may get lost due to the computational method. For example, energy loss can be introduced in a simulation of a process that is not supposed to lose energy. Recently, we published new computational methods that avoid such problems. These conservative discretizations conserve certain physical quantities like mass, momentum, and energy. Or all at the same time. This means that our methods make simulations more accurate and more reliable.
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2018-11-29

Mathematical Modelling of Burn Injuries

Burn injuries can have a radical impact on someone’s quality of life. A burn injury in the neck, for example, can cause a contraction that makes it impossible for someone to lift his or her head. Complications such as hypertrophic scars and contractions can occur as the result of burn injuries. In the first-place, hypertrophic scars cause aesthetic problems. In the case of hypertrophy, the scar is thicker and more elevated than normal. The second class of complications, an excessive contraction, often causes reduced mobility of the joint of the patient.
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2018-06-21

Pushing finance to a higher level with scientific software engineers (part 2)

Automatic trading, portfolio optimization, and insurance valuation were the topics of the first part of this blog. In this second part, we will further discuss the added value of technical experts in finance. We do this by looking at how credit data can be managed at banks, how algorithms can help to prevent future credit crises, and how data science can provide insights into mortgage loans. These three financial topics are very different at first glance. But they have some common parts: they benefit from a technical engineering solution, through mathematical techniques and scientific software.
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2017-11-23

Mathematics in software

Simulation of the world around us by numerical computation has improved a lot in the past decades. Together with Johan Dijkzeul we will look back at this period.
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2017-10-27

Woudschoten Conference: Highlight for Applied Mathematicians

The forty-second Woudschoten Conference was held at the Woudschoten Conference Centre, Zeist, The Netherlands from 4-6 October 2017.
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2017-06-02

The next step in solving the wave equation efficiently

The propagation of waves through a medium is described by the famous wave equation. This is a partial differential equation that is not easy to solve. The time-independent form of the wave equation is called the Helmholtz equation.
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2017-02-02

Study Group Mathematics with Industry 2017

This year the Study Group Mathematics with Industry took place in Amsterdam, from January 23 till 27. Bas van ‘t Hof and Jok Tang, two of VORtech’s mathematical consultants, attended the SWI this year.
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2015-06-04

Why bother with computational models if you’ve got data?

Are we indeed witnessing the end of traditional mathematical modelling and should its practitioners be looking for a new job?
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