Exercises in Computational Mathematics with MATLAB - Jean-Louis Merrien

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Résumé :
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Biographie:
Both authors have a long experience, at university and engineering school, in teaching numerical methods and numerical analysis. The authors started research collaboration a few years ago. They realized that they had complementary approaches to mathematical research and teaching. They think that combining these approaches gives an interesting perspective for an original book. Tom Lyche has received the Dagstuhl foundation's John Gregory Memorial Award for Outstanding contributions to geometric modeling and is a member of Norwegian Academy of Science and Letters. He has published more than 85 papers in leading international journals and refereed proceedings, edited 14 books and is on the editorial board of 4 international journals. Jean-Louis Merrien is active as a researcher on subdivision and has published the book Analyse Numerique avec Matlab, Dunod, Paris 2007....

Sommaire:

1 An Introduction to MATLAB commands.- 2 Matrices and Linear Systems.- 3 Matrices, Eigenvalues and Eigenvectors.- 4 Matrices, Norms and Conditioning.- 5 Iterative Methods.- 6 Polynomial Interpolation.- 7 B?zier Curves and Bernstein Polynomials.- 8 Piecewise Polynomials, Interpolation and Applications.- 9 Approximation of Integrals.- 10 Linear Least Squares Methods.- 11 Continuous and Discrete Approximations.- 12 Ordinary Differential Equations, One Step Methods.- 13 Finite Differences for differential and partial differential equations.- References.- Index of Names.- Subject Index.- MATLAB Index.