{"product_id":"the-numerical-solution-of-differential-algebraic-systems-by-runge-kutta-methods-paperback","title":"The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eErnst Hairer\u003c\/b\u003e (Author), \u003cb\u003eChristian Lubich\u003c\/b\u003e (Author), \u003cb\u003eMichel Roche\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThe term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular implicit differential equations. Such problems arise in a variety of applications, e.g. constrained mechanical systems, fluid dynamics, chemical reaction kinetics, simulation of electrical networks, and control engineering. From a more theoretical viewpoint, the study of differential-algebraic problems gives insight into the behaviour of numerical methods for stiff ordinary differential equations. These lecture notes provide a self-contained and comprehensive treatment of the numerical solution of differential-algebraic systems using Runge-Kutta methods, and also extrapolation methods. Readers are expected to have a background in the numerical treatment of ordinary differential equations. The subject is treated in its various aspects ranging from the theory through the analysis to implementation and applications.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 146\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.33 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e November 28, 1989\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52704866894131,"sku":"9783540518600","price":71.78,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/Q3YybmRKbHg3eldRcmF3UnpTV2JxZz09.webp?v=1763366322","url":"https:\/\/www.vysn.com\/en-ca\/products\/the-numerical-solution-of-differential-algebraic-systems-by-runge-kutta-methods-paperback","provider":"VYSN","version":"1.0","type":"link"}