This course will provide students with an introduction to numerical methods and MATLAB®. Topics covered throughout the course will include: errors, condition numbers and roots of equations; Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis, and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; Lagrangian Coherent Structures. Subject includes a final research project.
spectral methods, error analysis, turbulent flows, boundary layers, Numerical Simulation, Mathematical Analysis, and stability, parabolic and hyperbolic equations, ocwc, finite volumes on complex geometries, Hydrodynamics, finite element methods, high-order and compact finite-differences, Lagrangian Coherent Structures, errors, Fourier decomposition, direct and iterative methods for linear systems, Differential Equations, condition numbers and roots of equations, finite volume methods, grid generation, oec, Fluid Mechanics, finite differences for elliptic, Navier-Stokes, Navier-Stokes solvers, boundary element and panel methods, time marching methods
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