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NUmerical Computing Class Notes

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This course is about numerical analysis. The associated computations are done using Matlab. • Numerical analysis is concerned with the solution of mathematically formulated problems via computer. • It is what you do when you can’t solve a mathematically formulated problem with pencil and paper alone. • Numerical computing is being done all around us. (“We all use math everyday.”) • The problems themselves can come from many fields of application, e.g., biology, chemistry, physics, engineering, medicine, education, entertainment, the internet, forensics, financial markets, . . . • The stakes are often high, so the results must be accurate, reliable, and robust

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Institution
Amrita Vishwa Vidyapeetham
Course
19MAT211

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Numerical Computing

Dr. Lolugu Govindarao

Assistant Professor
Department of Mathematics
Amrita Vishwa Vidyapeetham, Amrita School of Engineering, Coimbatore




Dr. Lolugu Govindarao (Assistant Professor Department
Lecture of
onMathematics
Numerical Computing
Amrita Vishwa Vidyapeetham, Amrita School of 1Engineering,
/ 108 Coimbatore)

, Outline


1 Curve Fitting
Interpolation

2 Linear interpolation

3 Divided difference method

4 Finite difference operators

5 Least square regression

6 Numerical integration



Dr. Lolugu Govindarao (Assistant Professor Department
Lecture of
onMathematics
Numerical Computing
Amrita Vishwa Vidyapeetham, Amrita School of 2Engineering,
/ 108 Coimbatore)

, Curve Fitting




Dr. Lolugu Govindarao (Assistant Professor Department
Lecture of
onMathematics
Numerical Computing
Amrita Vishwa Vidyapeetham, Amrita School of 3Engineering,
/ 108 Coimbatore)

, Curve Fitting
Two types of curve fitting
Least square regression
Given data for discrete values, derive a single curve that represents the
general trend of the data. When the given data exhibit a significant degree
of error.




Dr. Lolugu Govindarao (Assistant Professor Department
Lecture of
onMathematics
Numerical Computing
Amrita Vishwa Vidyapeetham, Amrita School of 3Engineering,
/ 108 Coimbatore)
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Institution
Amrita Vishwa Vidyapeetham
Course
19MAT211
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Document information

Uploaded on
June 9, 2024
Number of pages
297
Written in
2023/2024
Type
Class notes
Professor(s)
Lolugu govinda rao
Contains
All classes

Subjects

  • numerical computing
  • differential
  • equations
  • trapezoidal
  • adam bashforth
  • partial differential equations
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