Is it possible to predict the far future before the near future is known accurately?

Snapshots of modern mathematics from Oberwolfach

Is it possible to predict the far future before the near future is known accurately?

It has always been the dream of mankind to predict the future. If the future is governed by laws of physics, like in the case of the weather, one can try to make a model, solve the associated equations, and thus predict the future. However, to make accurate predictions can require extremely large amounts of computation. If we need seven days to compute a prediction for the weather tomorrow and the day after tomorrow, the prediction arrives too late and is thus not a prediction any more. Although it may seem improbable, with the advent of powerful computers with many parallel processors, it is possible to compute a prediction for tomorrow and the day after tomorrow simultaneously. We describe a mathematical algorithm which is designed to achieve this.

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Mathematical subjects

Numerics and Scientific Computing

Connections to other fields

Computer Science
Engineering and Technology

Author(s)

Martin J. Gander
Senior Editor:
Sophia Jahns

License

DOI (Digital Object Identifier)

10.14760/SNAP-2019-021-EN

Download PDF

PDF

snapshots: overview

Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

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