{"product_id":"9783658517144","title":"A Unifying Theory for Runge-Kutta-like Time Integrators Convergence and Stability","description":"\u003ch3\u003eAusgewählte Kapitel der Angewandten Mathematik, Numerik und des wissenschaftlichen Rechnens\u003c\/h3\u003e\u003ch1\u003eA Unifying Theory for Runge-Kutta-like Time Integrators\u003c\/h1\u003e\u003ch2\u003eConvergence and Stability\u003c\/h2\u003e\u003ch3\u003eThomas Izgin\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Numerical Analysis\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\u003cp\u003e\u003cspan data-olk-copy-source=\"MessageBody\"\u003eMany dynamical systems in science and engineering are governed by differential equations whose solutions must remain positive and conservative. \u003c\/span\u003eStandard numerical methods often fail to preserve these essential properties, leading to unphysical results such as negative concentrations or loss of mass.\u003cbr\u003eThis book presents a rigorous analytical study of modified Patankar-type schemes, a class of nonlinear time-integration methods that guarantee unconditional positivity and exact conservation while achieving at least second-order accuracy. Beyond this specific class, many of the theoretical results are shown to be applicable to general nonlinear numerical methods, providing broader insight into the design of structure-preserving schemes.\u003c\/p\u003e\u003c\/div\u003e\u003cdiv\u003e\u003cp\u003e\u003cspan data-olk-copy-source=\"MessageBody\"\u003eThomas Izgin is a postdoctoral researcher at the University of Kassel and is currently a Fulbright scholar at Brown University in the United States, where he is investigating how several key physical properties can be preserved simultaneously in numerical simulations. His current research focuses in particular on the simultaneous preservation of entropy properties and the positivity of relevant modeled variables.\u003c\/span\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e20 July 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Fachmedien Wiesbaden\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer Spektrum\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783658517144\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003ePaperback \/ softback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e189\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Fachmedien Wiesbaden","offers":[{"title":"Default Title","offer_id":47202365669516,"sku":"9783658517144","price":80.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783658517144.jpg?v=1780604008","url":"https:\/\/lateknightbooks.com\/products\/9783658517144","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}