{"product_id":"the-numerical-solution-of-differential-algebraic-ernst-hairer-9783540518600","title":"The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods","description":"The 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Ernst Hairer, Christian Lubich, Michel Roche\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3540518606\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783540518600\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/28\/1989\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 146\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.50lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.33d","brand":"Ernst Hairer","offers":[{"title":"Paperback","offer_id":44125992681727,"sku":"9783540518600","price":39.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_6ba3bdb1-1caa-4c78-9838-44ce79852289.jpg?v=1687445692","url":"https:\/\/www.whiterainbookhouse.com\/products\/the-numerical-solution-of-differential-algebraic-ernst-hairer-9783540518600","provider":"WR Book House","version":"1.0","type":"link"}