Numerical methods : principles, analysis and algorithms / by Srimanta Pal

Index included

Scope of mathematical and numerical methods -- Errors and their propagation -- Programming tools and techniques -- Solutions of algebraic and transcendental equations -- Numerical solutions of linear equations : direct methods -- Numerical solutions for matrix inversion -- Numerical solutions of linear systems of equations : iterative methods -- Linear least-squares problem -- Numerical solutions of systems of non-linear equations -- Eigenvalues and Eigenvectors -- Interpolation and extrapolation -- Numerical differentiation -- Numerical integration -- Numerical solutions of ordinary differential equations : initial value problem -- Numerical solutions of ordinary differential equations : boundary value problems -- Numerical solutions of partial differential equations -- Numerical solutions of parabolic partial differential equations -- Numerical solutions of hyperbolic partial differential equations -- Numerical solutions of elliptic partial differential equations -- Advances in numerical methods using parallel computing paradigm -- Numerical methods using neural networks -- Numerical solutions of difference equations.

Numerical Methods provides a thorough understanding of the basic principles and techniques of numerical methods and their application to real-world problems.