{"product_id":"the-numerical-solution-of-differential-algebraic-systems-by-runge-kutta-methods-von-ernst-hairer-christian-lubich-michel-roche","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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540518600\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540518600","offer_id":39437490552925,"sku":"9783540518600","price":26.74,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/e55ded4c-db0b-4b29-8bb0-2b87e5ef2612.jpg?v=1772257203","url":"https:\/\/shop.autorenwelt.de\/products\/the-numerical-solution-of-differential-algebraic-systems-by-runge-kutta-methods-von-ernst-hairer-christian-lubich-michel-roche","provider":"Autorenwelt Shop","version":"1.0","type":"link"}