Fermi, Pasta, Ulam and the birth of experimental mathematics

Enrico Fermi, John Pasta, and Stanislaw Ulam's discovery of numerical experiment of nonlinear problem continues to inspire researchers. The Los Alamos scientists call this problem as MANIAC (MAthematical Numerical Integrator And Computer) and performs brute force numerical computations. Fermi,...

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書誌詳細
主要な著者: Porter, M, Zabusky, N, Hu, B, Campbell, D
フォーマット: Journal article
言語:English
出版事項: 2009
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author Porter, M
Zabusky, N
Hu, B
Campbell, D
author_facet Porter, M
Zabusky, N
Hu, B
Campbell, D
author_sort Porter, M
collection OXFORD
description Enrico Fermi, John Pasta, and Stanislaw Ulam's discovery of numerical experiment of nonlinear problem continues to inspire researchers. The Los Alamos scientists call this problem as MANIAC (MAthematical Numerical Integrator And Computer) and performs brute force numerical computations. Fermi, Pasta, Ulam's (FPU) original investigation can be described as the birth of experimental mathematics, which led to computer based investigations designed to give insights into complex mathematical and physical problems. Studies such as atomic lattices of solid state physics are highly inspired by FPU problem of nonlinear systems. FPU problems have also led to the creation of concepts like chaos, solitons and breather's invention, development, refinement and application to a number of real world systems. It also reveals facts on a remarkably broad range of topics in nonlinear dynamics, statistical mechanics and computational physics.
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spelling oxford-uuid:2fc7e53c-d490-4fe8-9dd5-c3cd65e13c0c2022-03-26T12:57:28ZFermi, Pasta, Ulam and the birth of experimental mathematicsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2fc7e53c-d490-4fe8-9dd5-c3cd65e13c0cEnglishSymplectic Elements at Oxford2009Porter, MZabusky, NHu, BCampbell, DEnrico Fermi, John Pasta, and Stanislaw Ulam's discovery of numerical experiment of nonlinear problem continues to inspire researchers. The Los Alamos scientists call this problem as MANIAC (MAthematical Numerical Integrator And Computer) and performs brute force numerical computations. Fermi, Pasta, Ulam's (FPU) original investigation can be described as the birth of experimental mathematics, which led to computer based investigations designed to give insights into complex mathematical and physical problems. Studies such as atomic lattices of solid state physics are highly inspired by FPU problem of nonlinear systems. FPU problems have also led to the creation of concepts like chaos, solitons and breather's invention, development, refinement and application to a number of real world systems. It also reveals facts on a remarkably broad range of topics in nonlinear dynamics, statistical mechanics and computational physics.
spellingShingle Porter, M
Zabusky, N
Hu, B
Campbell, D
Fermi, Pasta, Ulam and the birth of experimental mathematics
title Fermi, Pasta, Ulam and the birth of experimental mathematics
title_full Fermi, Pasta, Ulam and the birth of experimental mathematics
title_fullStr Fermi, Pasta, Ulam and the birth of experimental mathematics
title_full_unstemmed Fermi, Pasta, Ulam and the birth of experimental mathematics
title_short Fermi, Pasta, Ulam and the birth of experimental mathematics
title_sort fermi pasta ulam and the birth of experimental mathematics
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