Fast Solvers for Highly Oscillatory Problems

Snapshots of modern mathematics from Oberwolfach

Fast Solvers for Highly Oscillatory Problems

Waves of diverse types surround us. Sound, light and other waves, such as microwaves, are crucial for speech, mobile phones, and other communication technologies. Elastic waves propagating through the Earth bounce through the Earth’s crust and enable us to “see” thousands of kilometres in depth. These propagating waves are highly oscillatory in time and space, and may scatter off obstacles or get “trapped” in cavities. Simulating these phenomena on computers is extremely important. However, the achievable speeds for accurate numerical modelling are low even on large modern computers. Our snapshot will introduce the reader to recent progress in designing algorithms that allow for much more rapid solutions. 

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Mathematical subjects

Numerics and Scientific Computing

Connections to other fields

Engineering and Technology
Physics

Author(s)

Alex Barnett
Senior Editor:
Carla Cederbaum
Junior Editor:
David Edward Bruschi, Johannes Niediek

License

DOI (Digital Object Identifier)

10.14760/SNAP-2018-006-EN

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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