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Sinopsis
Computational methods to approximate the solution of differential equations play a crucial role in science, engineering, mathematics, and technology. The key processes that govern the physical world―wave propagation, thermodynamics, fluid flow, solid deformation, electricity and magnetism, quantum mechanics, general relativity, and many more―are described by differential equations. We depend on numerical methods for the ability to simulate, explore, predict, and control systems involving these processes.
The finite element exterior calculus, or FEEC, is a powerful new theoretical approach to the design and understanding of numerical methods to solve partial differential equations (PDEs). The methods derived with FEEC preserve crucial geometric and topological structures underlying the equations and are among the most successful examples of structure-preserving methods in numerical PDEs. This volume aims to help numerical analysts master the fundamentals of FEEC, including the geometrical and functional analysis preliminaries, quickly and in one place. It is also accessible to mathematicians and students of mathematics from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs.
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Douglas N. Arnold is McKnight Presidential Professor of Mathematics at the University of Minnesota. He is a mathematician and educator whose research focuses on numerical analysis, PDEs, mechanics, and the interplay among these fields. He is known as the originator of FEEC, first presented in his plenary lecture at the International Congress of Mathematicians in 2002. Professor Arnold's many accomplishments include the award of a Guggenheim Fellowship; election as a foreign member of the Norwegian Academy of Science and Letters; Fellowship in the Society for Industrial and Applied Mathematics (SIAM), the American Association for the Advancement of Science (AAAS), and the American Mathematical Society (AMS); and serving as president of SIAM and director of the Institute of Mathematics and Its Applications (IMA). He received the SIAM Prize for Distinguished Service to the Profession and the J. Tinsley Oden Medal of the U.S. Association for Computational Mechanics. In 2007 he coauthored an award-winning video, “Möbius Transformations Revealed,” which has garnered over two million views on YouTube.
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Finite Element Exterior Calculus
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Society for Industrial and Applied Mathematics,U.S., US, 2019
ISBN 10: 1611975530
ISBN 13: 9781611975536
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Librería: Rarewaves.com UK, London, Reino Unido
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Paperback. Condición: New. Computational methods to approximate the solution of differential equations play a crucial role in science, engineering, mathematics, and technology. The key processes that govern the physical world-wave propagation, thermodynamics, fluid flow, solid deformation, electricity and magnetism, quantum mechanics, general relativity, and many more-are described by differential equations. We depend on numerical methods for the ability to simulate, explore, predict, and control systems involving these processes. The finite element exterior calculus, or FEEC, is a powerful new theoretical approach to the design and understanding of numerical methods to solve partial differential equations (PDEs). The methods derived with FEEC preserve crucial geometric and topological structures underlying the equations and are among the most successful examples of structure-preserving methods in numerical PDEs. This volume aims to help numerical analysts master the fundamentals of FEEC, including the geometrical and functional analysis preliminaries, quickly and in one place. It is also accessible to mathematicians and students of mathematics from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs. Nº de ref. del artículo: LU-9781611975536
Cantidad disponible: 4 disponibles
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Finite Element Exterior Calculus
Publicado por
Society for Industrial & Applied Mathematics,U.S., 2019
ISBN 10: 1611975530
ISBN 13: 9781611975536
Nuevo
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Condición: New. 2018. Paperback. . . . . . Nº de ref. del artículo: V9781611975536
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Finite Element Exterior Calculus
Publicado por
Society for Industrial and Applied Mathematics,U.S., US, 2019
ISBN 10: 1611975530
ISBN 13: 9781611975536
Nuevo
Paperback
Librería: Rarewaves.com USA, London, LONDO, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: New. Computational methods to approximate the solution of differential equations play a crucial role in science, engineering, mathematics, and technology. The key processes that govern the physical world-wave propagation, thermodynamics, fluid flow, solid deformation, electricity and magnetism, quantum mechanics, general relativity, and many more-are described by differential equations. We depend on numerical methods for the ability to simulate, explore, predict, and control systems involving these processes. The finite element exterior calculus, or FEEC, is a powerful new theoretical approach to the design and understanding of numerical methods to solve partial differential equations (PDEs). The methods derived with FEEC preserve crucial geometric and topological structures underlying the equations and are among the most successful examples of structure-preserving methods in numerical PDEs. This volume aims to help numerical analysts master the fundamentals of FEEC, including the geometrical and functional analysis preliminaries, quickly and in one place. It is also accessible to mathematicians and students of mathematics from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs. Nº de ref. del artículo: LU-9781611975536
Cantidad disponible: 4 disponibles
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Finite Element Exterior Calculus (CBMS-NSF Regional Conference Series in Applied Mathematics 93)
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SIAM- Society for Industrial and Applied Mathematics, 2018
ISBN 10: 1611975530
ISBN 13: 9781611975536
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Finite Element Exterior Calculus
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ISBN 13: 9781611975536
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Finite Element Exterior Calculus
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Finite Element Exterior Calculus
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Finite Element Exterior Calculus
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Taschenbuch. Condición: Neu. Neuware - Presents the fundamentals of finite element exterior calculus, including the geometrical and functional analysis preliminaries, quickly and in one place. The book is also for mathematicians from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs. Nº de ref. del artículo: 9781611975536
Cantidad disponible: 2 disponibles