Introduction to Mathematical Modeling
Auteur : Humi Mayer
Introduction to Mathematical Modeling helps students master the processes used by scientists and engineers to model real-world problems, including the challenges posed by space exploration, climate change, energy sustainability, chaotic dynamical systems and random processes.
Primarily intended for students with a working knowledge of calculus but minimal training in computer programming in a first course on modeling, the more advanced topics in the book are also useful for advanced undergraduate and graduate students seeking to get to grips with the analytical, numerical, and visual aspects of mathematical modeling, as well as the approximations and abstractions needed for the creation of a viable model.
The Process of Mathematical Modeling. Modeling with ODEs. Systems of ODES. Stability. Bifurcations. Modeling with PDES. Modeling of Fluid flow. Geophysical Modeling. Nonlinear PDEs. Variational Principles.
Mayer Humi
Date de parution : 06-2024
17.8x25.4 cm
Date de parution : 01-2017
17.8x25.4 cm
Thèmes d’Introduction to Mathematical Modeling :
Mots-clés :
Ordinary Differential Equation; Traveling Wave Solution; mathematical models; Hopf Bifurcation; modeling physical processes; Current Finite Element Methods; Climate Change; RLC Circuit; Energy Sustainability; Liapunov Exponents; Isolated Local Minima; Finite Difference Method; Central Difference Formula; Euler Algorithm; Regular Perturbation Expansion; Burger’s Equation; Stable Steady State; Finite Difference Formula; Euler Lagrange Equation; Phase Portrait; NLS Equation; Higher Order Taylor Expansion; Energy Conservation; Regular Perturbation; Meridional Extent; Beltrami Flow; Perturbation Expansion; Queue Length; Ferrel Cell