Advanced Numerical Methods with Matlab 2 Resolution of Nonlinear, Differential and Partial Differential Equations
Resolution of Nonlinear, Differential and Partial Differential Equations
Samenvatting
The purpose of this book is to introduce and study numerical methods basic and advanced ones for scientific computing. This last refers to the implementation of appropriate approaches to the treatment of a scientific problem arising from physics (meteorology, pollution, etc.) or of engineering (mechanics of structures, mechanics of fluids, treatment signal, etc.). Each chapter of this book recalls the essence of the different methods resolution and presents several applications in the field of engineering as well as programs developed under Matlab software.
Specificaties
Inhoudsopgave
<p>2– Approximation and interpolation</p>
<p>3– Direct and iterative methods of solving linear systems</p>
<p>4– Resolution of nonlinear systems</p>
<p>5– Numerical derivation and integration</p>
<p>6– Calculation of eigenvalues and eigenvectors</p>
<p>7– Approximation in the sense of least squares</p>
<p>8– Resolution of differential equations</p>
<p>9– Finite difference and finite element methods</p>
<p>10– Finite volume methods and spectral method</p>
<p>11– Meshless methods</p>
<p>12– Subdomain Methods and Parallel Computing</p>