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Numerical methods for nonlinear algebraic equations P. Rabinowitz
Publisher: Routledge

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. Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for differential equations. This title is applicable to the main maths syllabus in the Australian state of Victoria. Electronics and Communication Engineering. Download Numerical methods for nonlinear algebraic equations. At the end of the course, the students would be acquainted with the basic concepts in numerical methods and their uses are summarized as follows: i. Numerical methods for nonlinear algebraic equations. The analysis is developed from the theory of linear constant coefficient systems via linear variable coefficient systems to general nonlinear systems. It is a useful guide for those students who are enrolled in this course or who are interested in studying or working there. Transform Theory: Fourier transform, Laplace transform, Z-transform. 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. FindRoot fails to give a correct solution to a system of nonlinear algebraic equations unless a good initial guess is chosen. Of initial and boundary value problems for differential-algebraic equations. Numerical Methods: 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. Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for differential equations; Transform Theory: Fourier transform, Laplace transform, Z-transform. Two major classes of numerical methods for differential-algebraic equations (Runge-Kutta and BDF methods) are discussed and analyzed with respect to convergence and order.