Numerical Analysis and Optimization

Klappentext This text! based on the author's teaching at ole Polytechnique! introduces the reader to the world of mathematical modelling and numerical simulation. Including numerous exercises and examples! this is an ideal text for advanced students in Applied Mathematics! Engineering! Physical Science and Computer Science. Zusammenfassung This text, based on the author's teaching at Ãcole Polytechnique, introduces the reader to the world of mathematical modelling and numerical simulation. Including numerous exercises and examples, this is an ideal text for advanced students in Applied Mathematics, Engineering, Physical Science and Computer Science.

Klappentext

This text, based on the author's teaching at ole Polytechnique, introduces the reader to the world of mathematical modelling and numerical simulation. Including numerous exercises and examples, this is an ideal text for advanced students in Applied Mathematics, Engineering, Physical Science and Computer Science.

Zusammenfassung
This text, based on the author's teaching at École Polytechnique, introduces the reader to the world of mathematical modelling and numerical simulation. Including numerous exercises and examples, this is an ideal text for advanced students in Applied Mathematics, Engineering, Physical Science and Computer Science.

Inhalt

• 1: Introduction to mathematical modelling and numerical simulation

• 2: Finite difference method

• 3: Variational formulation of elliptic problems

• 4: Sobolev spaces

• 5: The mathematical study of elliptical problems

• 6: The finite element method

• 7: Eigenvalue problems

• 8: Evolution problems

• 9: Introduction to optimization

• 10: Optimality conditions and algorithms

• 11: Methods of operational research

• Appendices

• 12: Review of Hilbert spaces

• 13: Matrix numerical analysis

• Bibliography

• Index