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Titlebook: Nonlinear Hyperbolic Problems; Proceedings of an Ad Claude Carasso,Denis Serre,Pierre-Arnaud Raviart Conference proceedings 1987 Springer-V

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发表于 2025-3-21 18:59:27 | 显示全部楼层 |阅读模式
书目名称Nonlinear Hyperbolic Problems
副标题Proceedings of an Ad
编辑Claude Carasso,Denis Serre,Pierre-Arnaud Raviart
视频video
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Nonlinear Hyperbolic Problems; Proceedings of an Ad Claude Carasso,Denis Serre,Pierre-Arnaud Raviart Conference proceedings 1987 Springer-V
描述The field of nonlinear hyperbolic problems has been expanding very fast over the past few years, and has applications - actual and potential - in aerodynamics, multifluid flows, combustion, detonics amongst other. The difficulties that arise in application are of theoretical as well as numerical nature. In fact, the papers in this volume of proceedings deal to a greater extent with theoretical problems emerging in the resolution of nonlinear hyperbolic systems than with numerical methods. The volume provides an excellent up-to-date review of the current research trends in thisarea.
出版日期Conference proceedings 1987
关键词differential equation; finite element method; hyperbolic system; integral; numerical method; partial diff
版次1
doihttps://doi.org/10.1007/BFb0078312
isbn_softcover978-3-540-18200-9
isbn_ebook978-3-540-47805-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1987
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发表于 2025-3-22 00:17:18 | 显示全部楼层
Preliminary results on the extension of eno schemes to two-dimensional problems, its cell averages, solution in the small of the resulting piecewise polynomial initial value problem, and averaging of this solution over each cell. Unlike standard finite difference methods this procedure uses an adaptive stencil of grid points and consequently the resulting schemes are highly nonlinear.
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The entropy dissipation by numerical viscosity in nonlinear conservative difference schemes,ntropy variables and the construction of certain entropy conservative schemes in terms of piecewise-linear finite element approximations. We then show that conservative schemes are entropy stable, if they contain more numerical viscosity than the above mentioned entropy conservative ones.
发表于 2025-3-22 06:05:12 | 显示全部楼层
,A “box-scheme” for the euler equations,law. Then it is presented for the equations of gas dynamics in a domain of varying area. Applications to the shock tube and to a steady flow in a nozzle exhibit the major features of the scheme. Preliminary results in two-dimensions seem to indicate that the extension is worthy of interest.
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0075-8434 - in aerodynamics, multifluid flows, combustion, detonics amongst other. The difficulties that arise in application are of theoretical as well as numerical nature. In fact, the papers in this volume of proceedings deal to a greater extent with theoretical problems emerging in the resolution of nonl
发表于 2025-3-22 19:23:56 | 显示全部楼层
Conference proceedings 1987dynamics, multifluid flows, combustion, detonics amongst other. The difficulties that arise in application are of theoretical as well as numerical nature. In fact, the papers in this volume of proceedings deal to a greater extent with theoretical problems emerging in the resolution of nonlinear hype
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发表于 2025-3-23 07:59:01 | 显示全部楼层
,Un theoreme d’existence globale en elasticite non lineaire mono-dimensionnelle, de conservation. On explique ensuite comment ce résultat permet de démontrer aisément la convergence d‘une suite de solutions approchées du système de l‘élasticité non linéaire. Ce résultat s‘applique aussi au système de la dynamique des gaz isentropiques, en coordonnées eulériennes, s‘il n‘y a pas cavitation.
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