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Numerical Analysis Lecture Note

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Name of Notes : – Numerical Analysis Lecture Note

Introduction

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). Numerical analysis naturally finds application in all fields of engineering and the physical sciences, but in the 21st century also the life sciences, social sciences, medicine, business and even the arts have adopted elements of scientific computations. The growth in computing power has revolutionized the use of realistic mathematical models in science and engineering, and subtle numerical analysis is required to implement these detailed models of the world. For example, ordinary differential equations appear in celestial mechanics (predicting the motions of planets, stars and galaxies); numerical linear algebra is important for data analysis; stochastic differential equations and Markov chains are essential in simulating living cells for medicine and biology.

Before the advent of modern computers, numerical methods often depended on hand interpolation formulas applied to data from large printed tables. Since the mid 20th century, computers calculate the required functions instead, but many of the same formulas nevertheless continue to be used as part of the software algorithms.

Modules / Lectures

  • Direct methods for solving linear systems of equations
  • Iterative methods for solving systems of equations
  • Review of properties of eigenvalues and eigenvectors
  • Eigenvalue computations

Additional information

Product Name

Numerical Analysis Lecture Note

Product Size

746 KB

Format

File Format

File Category

DEPARTMENT/COURSE

Need For

College, Competition, Entrance, Exams, PSU, Semester, University

Product Type

Written By

Prof. Vittal Rao

Provided By

IISc Bangalore

Uploaded By

Roop Chandra

Languages

English

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