{"product_id":"a-unifying-theory-for-runge-kutta-like-time-integrators-9783658517144","title":"A Unifying Theory for Runge-Kutta-like Time Integrators: Convergence and Stability","description":"Many dynamical systems in science and engineering are governed by differential equations whose solutions must remain positive and conservative. Standard numerical methods often fail to preserve these essential properties, leading to unphysical results such as negative concentrations or loss of mass.   This 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.\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublication date:\u003c\/strong\u003e 23 August 2026\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePage count:\u003c\/strong\u003e 189\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e Height 210 mm; Width 148 mm\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublisher:\u003c\/strong\u003e Springer Fachmedien Wiesbaden\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eFormat:\u003c\/strong\u003e Paperback\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eISBN-13:\u003c\/strong\u003e 9783658517144\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Thomas Izgin","offers":[{"title":"Paperback","offer_id":50207184814330,"sku":"9783658517144","price":59.46,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/files\/9783658517144.jpg?v=1788219640","url":"https:\/\/shulphink.com\/products\/a-unifying-theory-for-runge-kutta-like-time-integrators-9783658517144","provider":"Shulph Ink","version":"1.0","type":"link"}