Recent Developments in the Solution of Nonlinear Differential Equations

Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and...

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Հրապարակվել է: IntechOpen 2023
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Առցանց հասանելիություն:ONIX_20231201_9781839686573_2053
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collection Directory of Open Access Books
description Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics.
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language eng
publishDate 2023
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spelling doab-20.500.12854ir-1309432024-04-04T14:41:08Z Recent Developments in the Solution of Nonlinear Differential Equations Carpentieri, Bruno boundary element method, green’s function, fourier transform, decomposition, fixed point, optimal control thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKA Calculus Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics. 2023-12-01T18:32:29Z 2023-12-01T18:32:29Z 2021 book ONIX_20231201_9781839686573_2053 9781839686573 9781839686566 9781839686580 https://directory.doabooks.org/handle/20.500.12854/130943 eng image/jpeg n/a https://www.intechopen.com/books/10474 https://mts.intechopen.com/storage/books/10474/authors_book/authors_book.pdf IntechOpen IntechOpen 10.5772/intechopen.92489 10.5772/intechopen.92489 78a36484-2c0c-47cb-ad67-2b9f5cd4a8f6 9781839686573 9781839686566 9781839686580 IntechOpen 372 open access
spellingShingle boundary element method, green’s function, fourier transform, decomposition, fixed point, optimal control
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKA Calculus
Recent Developments in the Solution of Nonlinear Differential Equations
title Recent Developments in the Solution of Nonlinear Differential Equations
title_full Recent Developments in the Solution of Nonlinear Differential Equations
title_fullStr Recent Developments in the Solution of Nonlinear Differential Equations
title_full_unstemmed Recent Developments in the Solution of Nonlinear Differential Equations
title_short Recent Developments in the Solution of Nonlinear Differential Equations
title_sort recent developments in the solution of nonlinear differential equations
topic boundary element method, green’s function, fourier transform, decomposition, fixed point, optimal control
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKA Calculus
topic_facet boundary element method, green’s function, fourier transform, decomposition, fixed point, optimal control
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKA Calculus
url ONIX_20231201_9781839686573_2053