Numerical analysis

Abstract

Computers provide an indispensable tool for computing the solution of a wide array of problems. These problems often involve numerical calculations in which numbers are manipulated on the computer. These computations include basic arithmetic operations on real numbers. An important limitation of computers is the inaccuracy inherent in storing and manipulating real numbers. Each computation can potentially give rise to a numerical error that propagates through the computational process. Understanding the effect of these errors on the computed solution is extremely important. It can lead to better models, algorithms, and software that are more resilient to numerical errors.