Mon premier blog

Numerical methods for nonlinear algebraic equations by P. Rabinowitz

Numerical methods for nonlinear algebraic equations P. Rabinowitz ebook
Format: djvu
Publisher: Routledge
ISBN: 0677142358, 9780677142357
Page: 209

LU decomposition for systems of linear equations; numerical solutions of non-linear algebraic equations by Secant, Bisection and Newton-Raphson Methods; Numerical integration by trapezoidal and Simpson's rules. Applications: engineering, physics, chemistry, and biology. Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors. Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for differential equations. To model and analyse power systems Introduction - Bus Classification - Bus admittance matrix - Solution of non-linear Algebraic equations - Gauss seidal method - Newon raphson method - Fast decoupled method - Flow charts and comparison of the three methods. AMATH 352 Applied Linear Algebra and Numerical Analysis (3) NW Analysis and application of numerical methods and algorithms to problems in the applied Overview methods describing qualitative behavior of solutions on nonlinear differential equations. Description of strange attractors and chaos. To model steady-state operation of large-scale power systems and o solve the power flow problems using efficient numerical methods suitable for computer simulation. Phase space analysis of fixed pointed and periodic orbits. Numerical Methods: Numerical solutions of linear and non-linear algebraic equations Integration by trapezoidal and Simpson's rule, single and multi-step methods for differential equations. Numerical methods: Numerical solution of linear and nonlinear algebraic equations, integration by trapezoidal and Simpson rule, single and multi-step methods for differential equations.