Numerical Methods

Rajesh Kumar Gupta is an associate professor in the department of mathematics and statistics at the Central University of Punjab, India. His current research includes nonlinear partial differential equations, Lie group theory, fractional order partial differential equations, exact solutions and symmetries for nonlinear systems. He has taught courses including numerical methods with C programming, engineering mathematics, partial differential equations, complex analysis and abstract algebra at undergraduate and graduate levels. He has more than ten years of teaching experience and has published more than fifty research papers.

Preface; Acknowledgement; Dedication; 1. Number systems; 2. Error analysis; 3. Nonlinear equations; 4. Nonlinear systems and polynomial equations; 5. Systems of linear equations; 6. Eigenvalues and eigenvectors; 7. Eigenvalues and eigenvectors of real symmetric matrices; 8. Interpolation; 9. Finite operators; 10. Interpolation for equal intervals and bivariate interpolation; 11. Splines, curve fitting, and other approximating curves; 12. Numerical differentiation; 13. Numerical integration; 14. First order ordinary differential equations: initial value problems; 15. Systems of first order ODEs and higher order ODEs: initial and boundary value problems; 16. Partial differential equations: finite difference methods; References; Index.