An Introduction to Numerical Analysis

An Introduction to Numerical Analysis Endre S¨uli and David F. Mayers University of Oxford Cambridge University Press Contents 1 Solution of equations by iteration 2 Solution of systems of linear equations 3 Special matrices 4 Simultaneous nonlinear equations 5 Eigenvalues and eigenvectors of a symmetric matrix 6 Polynomial interpolation 7 Numerical integration – I 8 Polynomial approximation in the ∞-norm 9 Approximation in the 2-norm 10 Numerical integration – II 11 Piecewise polynomial approximation 12 Initial value problems for ODEs 13 Boundary value problems for ODEs 14 The finite element method Appendix A An overview of results from real analysis Appendix B WWW-resources