Compatible Finite Element Methods for Geophysical Flows Automation a
This book introduces recently developed mixed finite element methods for large-scale geophysical flows that preserve essential numerical properties for accurate simulations. The methods are presented using standard models of atmospheric flows and are impl
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Thomas H. Gibson · Andrew T. T. McRae · Colin J. Cotter · Lawrence Mitchell · David A. Ham
Compatible Finite Element Methods for Geophysical Flows Automation and Implementation Using Firedrake
SpringerBriefs in Mathematics of Planet Earth • Weather, Climate, Oceans Managing Series Editors Dan Crisan, Imperial College London, London, UK Darryl Holm, Imperial College London, London, UK Series Editors Colin Cotter, Imperial College London, London, UK Jochen Broecker, University of Reading, Reading, UK Ted Shepherd, University of Reading, Reading, UK Sebastian Reich, University Potsdam, Potsdam, Germany Valerio Lucarini, University Hamburg, Hamburg, Germany
SpringerBriefs present concise summaries of cutting-edge research and practical applications across a wide spectrum of fields. Featuring compact volumes of 50 to 125 pages, the series covers a range of content from professional to academic. Briefs are characterized by fast, global electronic dissemination, standard publishing contracts, standardized manuscript preparation and formatting guidelines, and expedited production schedules. Typical topics might include: • A timely report of state-of-the art techniques • A bridge between new research results, as published in journal articles, and a contextual literature review • A snapshot of a hot or emerging topic • An in-depth case study SpringerBriefs in the Mathematics of Planet Earth showcase topics of current relevance to the Mathematics of Planet Earth. Published titles will feature both academic-inspired work and more practitioner-oriented material, with a focus on the application of recent mathematical advances from the fields of Stochastic And Deterministic Evolution Equations, Dynamical Systems, Data Assimilation, Numerical Analysis, Probability and Statistics, Computational Methods to areas such as climate prediction, numerical weather forecasting at global and regional scales, multi-scale modelling of coupled ocean-atmosphere dynamics, adaptation, mitigation and resilience to climate change, etc. This series is intended for mathematicians and other scientists with interest in the Mathematics of Planet Earth.
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Thomas H. Gibson Andrew T. T. McRae Colin J. Cotter Lawrence Mitchell David A. Ham •
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Compatible Finite Element Methods for Geophysical Flows Automation and Implementation Using Firedrake
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Thomas H. Gibson Department of Mathematics Imperial College London London, UK
Andrew T. T. McRae Department of Physics Oxford University Oxford, UK
Colin J. Cotter Department of Mathematics Imperial College London London, UK
Lawrence Mitchell Department of Computer Science Durham University Durham, UK
David A. Ham Department of Mathematics Imperial College London London, UK
SpringerBriefs in Mathematics of Planet Earth - Weather, Climate, Oceans ISSN 2509-7326 ISSN 2509-7334 (electronic) ISBN 978-3-030-23956-5 ISBN 978-3-030-23957-2 (eBook) https://doi.org/10.1007/978-3-030-23957-2 Mathematics Subject Classification (2010
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