001483932 000__ 04607cam\\2200589\i\4500 001483932 001__ 1483932 001483932 003__ OCoLC 001483932 005__ 20240117003307.0 001483932 006__ m\\\\\o\\d\\\\\\\\ 001483932 007__ cr\un\nnnunnun 001483932 008__ 231108s2023\\\\sz\a\\\\o\\\\\001\0\eng\d 001483932 019__ $$a1409028548 001483932 020__ $$a9783031350320$$q(electronic bk.) 001483932 020__ $$a3031350324$$q(electronic bk.) 001483932 020__ $$z9783031350313 001483932 020__ $$z3031350316 001483932 0247_ $$a10.1007/978-3-031-35032-0$$2doi 001483932 035__ $$aSP(OCoLC)1407834746 001483932 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCQ$$dOCLCO 001483932 049__ $$aISEA 001483932 050_4 $$aQA297 001483932 08204 $$a510.285/53$$223/eng/20231117 001483932 1001_ $$aDanaila, Ionut,$$eauthor. 001483932 24513 $$aAn introduction to scientific computing :$$bfifteen computational projects solved with MATLAB /$$cIonut Danaila, Pascal Joly, Sidi Mahmoud Kaber, Marie Postel. 001483932 250__ $$aSecond edition. 001483932 264_1 $$aCham :$$bSpringer,$$c[2023] 001483932 264_4 $$c©2023 001483932 300__ $$a1 online resource (xviii, 373 pages) :$$billustrations (chiefly color) 001483932 336__ $$atext$$btxt$$2rdacontent 001483932 337__ $$acomputer$$bc$$2rdamedia 001483932 338__ $$aonline resource$$bcr$$2rdacarrier 001483932 500__ $$aIncludes indexes. 001483932 5050_ $$aNumerical Approximation of Model Partial Differential Equations -- Nonlinear Differential Equations: Application to Chemical Kinetics -- Polynomial Approximation -- Solving an Advection-Diffusion Equation by a Finite Element Method -- Solving a Differential Equation by a Spectral Method -- Signal Processing: Multiresolution Analysis -- Elasticity: Elastic Deformation of a Thin Plate -- Domain Decomposition Using a Schwarz Method -- Geometrical Design: Bzier Curves and Surfaces -- Gas Dynamics: The Riemann Problem and Discontinuous Solutions: Application to the Shock Tube Problem -- Thermal Engineering: Optimization of an Industrial Furnace -- Fluid Dynamics: Solving the Two-Dimensional Navier-Stokes Equations. 001483932 506__ $$aAccess limited to authorized users. 001483932 520__ $$aThis book provides fifteen computational projects aimed at numerically solving problems from a broad range of applications including Fluid Mechanics, Chemistry, Elasticity, Thermal Science, Computer Aided Design, Signal and Image Processing. For each project the reader is guided through the typical steps of scientific computing from physical and mathematical description of the problem to numerical formulation and programming and finally to critical discussion of numerical results. Considerable emphasis is placed on practical issues of computational methods. The last section of each project contains the solutions to all proposed exercises and guides the reader in using the MATLAB scripts. The mathematical framework provides a basic foundation in numerical analysis of partial differential equations and main discretization techniques, such as finite differences, finite elements, spectral methods and wavelets. The book is primarily intended as a graduate-level text in applied mathematics, but it may also be used by students in engineering or physical sciences. It will also be a useful reference for researchers and practicing engineers. The second edition builds upon its earlier material (revised and updated) with three all-new chapters intended to reinforce the presentation of mathematical aspects on numerical methods: Fourier approximation, high-order finite difference methods, and basic tools for numerical optimization. Corresponding new applications and programs concern spectral Fourier methods to solve ordinary differential equations, finite difference methods up to sixth-order to solve boundary value problems and, finally, optimization strategies to fit parameters of an epidemiological model. 001483932 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 17, 2023). 001483932 63000 $$aMATLAB. 001483932 650_0 $$aNumerical analysis$$xData processing. 001483932 650_6 $$aAnalyse numérique$$xInformatique. 001483932 655_0 $$aElectronic books. 001483932 7001_ $$aJoly, Pascal,$$eauthor. 001483932 7001_ $$aKaber, Sidi Mahmoud,$$eauthor. 001483932 7001_ $$aPostel, Marie,$$eauthor. 001483932 77608 $$iPrint version: $$z3031350316$$z9783031350313$$w(OCoLC)1378363594 001483932 852__ $$bebk 001483932 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-35032-0$$zOnline Access$$91397441.1 001483932 909CO $$ooai:library.usi.edu:1483932$$pGLOBAL_SET 001483932 980__ $$aBIB 001483932 980__ $$aEBOOK 001483932 982__ $$aEbook 001483932 983__ $$aOnline 001483932 994__ $$a92$$bISE