{"product_id":"the-numerical-solution-of-differential-algebraic-systems-by-runge-kutta-methods-9783540518600","title":"The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods","description":"\u003cp\u003e • Author(s): Ernst Hairer\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Number Systems\u003c\/p\u003e\u003cp\u003e\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","brand":"Springer","offers":[{"title":"Paperback","offer_id":45280544915607,"sku":"9783540518600","price":1836.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540518600.webp?v=1769296621","url":"https:\/\/atlanticbooks.com\/products\/the-numerical-solution-of-differential-algebraic-systems-by-runge-kutta-methods-9783540518600","provider":"Atlantic Books","version":"1.0","type":"link"}