Porous media modelling with Euler

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Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Wanner, Gerhard

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Title

Porous media modelling with Euler

Title of Series

Connections in Geometric Numerical Integration and Structure-Preserving Discretization (17w5152)

Number of Parts

Author

Wanner, Gerhard

License

CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.

Identifiers

10.14288/1.0361784 (DOI)

Publisher

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Release Date

2017

Language

English

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Subject Area

Computer Science Mathematics

Genre

Workshop/Interactive Format Lecture

Abstract

We solve the model of C.J. Budd, J.M. Stockie, Stud. Appl. Math. AA:1--29, 2015, treated numerically in the paper "Asymptotical computations for a model of flow in saturated porous media" by P. Amodio, C.J. Budd, O. Koch, G. Settanni and E. Weinmuller, Appl. Math. and Comput. 237 (2014), 155-167 by methods right out of Euler's "Institutiones Calculi Integralis" (1768/69/70). The obtained precision is only limited by that of the computer. A nice occasion to celebrate the 250th anniversary of this greatest classics for integration and differential equations.