Partial Differential Equations - 9783031133787

Partial Differential EquationsAn Introduction to Analytical and Numerical Methods\nAuthor(s): Wolfgang Arendt, Karsten Urban, James B. Kennedy\nFormat: Hardback\nPublisher: Springer International Publishing AG, Switzerland\nImprint: Springer International Publishing AG\nISBN-13: 9783031133787, 978-3031133787\nSynopsis\nThis textbook introduces the study of partial differential equations using both analytical and numerical methods. By intertwining the two complementary approaches, the authors create an ideal foundation for further study. Motivating examples from the physical sciences, engineering, and economics complete this integrated approach.\n\nA showcase of models begins the book, demonstrating how PDEs arise in practical problems that involve heat, vibration, fluid flow, and financial markets. Several important characterizing properties are used to classify mathematical similarities, then elementary methods are used to solve examples of hyperbolic, elliptic, and parabolic equati.