These are the sample pages from the textbook. This book covers the following topics, root finding, orthogonal functions, finite differences, divided differences, interpolation, curve fitting, ztransforms, summation formula, quadrature formula, ordinary differential equations, partial differential equations, integral equations, stability and error analysis, monte carlo techniques, message passing interface, simulation modeling.
This note contains below topics, Introduction to scientific computing, Errors, conditioning, accuracy, and stability, Floating point, Numerical linear algebra, Numerical integration and differentiation, Initial value problems for ODEs, Boundary value problems for ODEs, Partial differential equations and sparse linear algebra, Fast Fourier Transform.
Author(s): Andreas Kloeckner, University of Illinois Urbana-Champaign
These are the sample pages from the textbook. This book covers the following topics, root finding, orthogonal functions, finite differences, divided differences, interpolation, curve fitting, ztransforms, summation formula, quadrature formula, ordinary differential equations, partial differential equations, integral equations, stability and error analysis, monte carlo techniques, message passing interface, simulation modeling.