By Santanu Saha Ray
Numerical research with Algorithms and Programming is the 1st complete textbook to supply special insurance of numerical equipment, their algorithms, and corresponding machine courses. It provides many ideas for the effective numerical resolution of difficulties in technology and engineering.
Along with a variety of worked-out examples, end-of-chapter routines, and Mathematica® courses, the publication comprises the traditional algorithms for numerical computation:
- Root discovering for nonlinear equations
- Interpolation and approximation of services by way of easier computational construction blocks, corresponding to polynomials and splines
- The resolution of platforms of linear equations and triangularization
- Approximation of services and least sq. approximation
- Numerical differentiation and divided transformations
- Numerical quadrature and integration
- Numerical ideas of normal differential equations (ODEs) and boundary worth difficulties
- Numerical resolution of partial differential equations (PDEs)
The textual content develops scholars’ realizing of the development of numerical algorithms and the applicability of the tools. by way of completely learning the algorithms, scholars will observe how quite a few equipment offer accuracy, potency, scalability, and balance for large-scale systems.
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Additional info for Numerical Analysis with Algorithms and Programming
Numerical Analysis with Algorithms and Programming by Santanu Saha Ray