RAPIDSOL Computer Oriented Numerical Methods


The present book ‘RAPIDSOL numerical ANALYSIS’ is in accordance with the syllabus of Panjab University Chandigarh in particular and other Universities in general. It provides a comprehensive treatment of the concepts and topics by giving a vast variety of examples fully solved. The entire subject matter has been arranged in a systematic, graded, simple, lucid and exhaustive manner to meet the various needs of all types of learners. Each chapter begins with some definitions followed by theorems with complete proofs and solved problems so that the study leads to perfect clarity and understanding. A large number of notes and remarks have been added for a better understanding of the subject. Question Papers of previous years of various Universities examinations has been solved.


Solution of Equation : Bisection, Secant, Regula Falsi, Newton’s Method, Roots of Polynomials.

Interpolation : Lagrange and Hermite Interpolation, Divided Differences, Difference Schemes, Interpolation Formulas using Difference.

Numerical Differentiation.

       Numerical Quadrature : Newton-Cote’s Formulas, Gauss Quadrature Formulas, Chebychev’s Formulas.

Linear Equations : Direct Methods for Solving Systems of Linear Equations (Gauss Elimination, LU Decomposition, Cholesky Decomposition), Iterative Methods (Jacobi, Gauss-Seidel, Relaxation Methods).

The Algebraic Eigenvalue Problem : Jacobi’s Method, Givens’ Method, Householder’s Method, Power Method, QR Method, Lanczos’ Method.

Ordinary Differential Equations : Euler Method, Single-step Methods, Runge-Kutta’s Method, Multi-step Methods.