{"product_id":"9783319327259","title":"Scaling of Differential Equations","description":"\u003cp\u003eThe book serves both as a reference for\nvarious scaled models with corresponding dimensionless numbers, and as a\nresource for learning the art of scaling. \nA special feature of the book is the emphasis on how to create software\nfor scaled models, based on existing software for unscaled models. \u003c\/p\u003e\n\n\u003cp\u003eScaling (or non-dimensionalization) is a\nmathematical technique that greatly simplifies the setting of input parameters in\nnumerical simulations. Moreover, scaling enhances the understanding of how\ndifferent physical processes interact in a differential equation model.\nCompared to the existing literature, where the topic of scaling is frequently\nencountered, but very often in only a brief and shallow setting, the present\nbook gives much more thorough explanations of how to reason about finding the\nright scales. This process is highly problem dependent, and therefore the book\nfeatures a lot of worked examples, from very simple ODEs to systems of PDEs,\nespecially from fluid mechanics.\u003cbr\u003e\u003c\/p\u003e\n\n\u003cp\u003eThe text is easily accessible and\nexample-driven. The first part on ODEs fits even a lower undergraduate level,\nwhile the most advanced multiphysics fluid mechanics examples target the\ngraduate level. The scientific literature is full of scaled models, but in most\nof the cases, the scales are just stated without thorough mathematical\nreasoning. This book explains how the scales are found mathematically.\u003c\/p\u003e\n\n\u003cp\u003eThis book will be a valuable read for anyone\ndoing numerical simulations based on ordinary or partial differential equations.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ePublication Year: \u003c\/strong\u003e2016\u003cbr\u003e\u003cstrong\u003eImprint: \u003c\/strong\u003eSpringer International Publishing\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eFormat: P\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eWeight (Gram): 2409\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003c\/p\u003e","brand":"Hans Petter Langtangen","offers":[{"title":"Default Title","offer_id":41277497016498,"sku":"9783319327259","price":448654.11,"currency_code":"IDR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0502\/5382\/4178\/products\/3319327259.01_SCLZZZZZZZ.jpg?v=1636199379","url":"https:\/\/readabook.store\/en-id\/products\/9783319327259","provider":"READABOOK BY ALKEM","version":"1.0","type":"link"}