Applied Numerical Methods for Partial Differential Equations - 9783031696299

Applied Numerical Methods for Partial Differential EquationsAuthor(s): Carl L. Gardner\nFormat: Hardback\nPublisher: Springer International Publishing AG, Switzerland\nImprint: Springer International Publishing AG\nISBN-13: 9783031696299, 978-3031696299\nSynopsis\nThe aim of this book is to quickly elevate students to a proficiency level where they can solve linear and nonlinear partial differential equations using state-of-the-art numerical methods. It covers numerous topics typically absent in introductory texts on ODEs and PDEs, including:\n\nComputing solutions to chaotic dynamical systems with TRBDF2\nSimulating the nonlinear diffusion equation with TRBDF2\nApplying Newtons method and GMRES to the nonlinear Laplace equation\nAnalyzing gas dynamics with WENO3 (1D Riemann problems and 2D supersonic jets)\nModeling the drift-diffusion equations with TRBDF2 and PCG\nSolving the classical hydrodynamic model (electro-gas dynamics) with WENO3 and TRBDF2\n\nThe book features 34 original.