{"product_id":"9783031423321","title":"SpringerBriefs in Mathematics: Fundamentals, Modeling, and Case Studies","description":"\u003ch1\u003eSpringerBriefs in Mathematics: Fundamentals, Modeling, and Case Studies\u003c\/h1\u003e \u003ch2\u003eGiraldi, Gilson Antonio; Almeida, Liliane Rodrigues de; Apolinário Jr., Antonio Lopes; Silva, Leandro Tavares da\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cdiv\u003eThis book is an introduction to the use of machine learning and data-driven approaches in fluid simulation and animation, as an alternative to traditional modeling techniques based on partial differential equations and numerical methods – and at a lower computational cost.\u003c\/div\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e\u003cdiv\u003eThis work starts with a brief review of computability theory, aimed to convince the reader – more specifically, researchers of more traditional areas of mathematical modeling – about the power of neural computing in fluid animations. In these initial chapters, fluid modeling through Navier-Stokes equations and numerical methods are also discussed.\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003eThe following chapters explore the advantages of the neural networks approach and show the building blocks of neural networks for fluid simulation. They cover aspects related to training data, data augmentation, and testing. \u003c\/div\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e\u003cdiv\u003eThe volume completes with two case studies, one involving Lagrangian simulation of fluids using convolutional neural networks and the other using Generative Adversarial Networks (GANs) approaches.\u003c\/div\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e\u003cdiv\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2023-11-25\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031423321\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-42333-8\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 164\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":44521776152716,"sku":"9783031423321","price":44.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031423321.jpg?v=1775785952","url":"https:\/\/lateknightbooks.com\/products\/9783031423321","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}