# Introduction to Numerical Methods

## Abstract

These are slides for a lecture for the Parallel Computing Summer Research Internship at the National Security Education Center. This gives an introduction to numerical methods. Repetitive algorithms are used to obtain approximate solutions to mathematical problems, using sorting, searching, root finding, optimization, interpolation, extrapolation, least squares regresion, Eigenvalue problems, ordinary differential equations, and partial differential equations. Many equations are shown. Discretizations allow us to approximate solutions to mathematical models of physical systems using a repetitive algorithm and introduce errors that can lead to numerical instabilities if we are not careful.

- Authors:

- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Publication Date:

- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)

- OSTI Identifier:
- 1312632

- Report Number(s):
- LA-UR-16-26530

- DOE Contract Number:
- AC52-06NA25396

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- Mathematics

### Citation Formats

```
Schoonover, Joseph A.
```*Introduction to Numerical Methods*. United States: N. p., 2016.
Web. doi:10.2172/1312632.

```
Schoonover, Joseph A.
```*Introduction to Numerical Methods*. United States. doi:10.2172/1312632.

```
Schoonover, Joseph A. Tue .
"Introduction to Numerical Methods". United States.
doi:10.2172/1312632. https://www.osti.gov/servlets/purl/1312632.
```

```
@article{osti_1312632,
```

title = {Introduction to Numerical Methods},

author = {Schoonover, Joseph A.},

abstractNote = {These are slides for a lecture for the Parallel Computing Summer Research Internship at the National Security Education Center. This gives an introduction to numerical methods. Repetitive algorithms are used to obtain approximate solutions to mathematical problems, using sorting, searching, root finding, optimization, interpolation, extrapolation, least squares regresion, Eigenvalue problems, ordinary differential equations, and partial differential equations. Many equations are shown. Discretizations allow us to approximate solutions to mathematical models of physical systems using a repetitive algorithm and introduce errors that can lead to numerical instabilities if we are not careful.},

doi = {10.2172/1312632},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Tue Jun 14 00:00:00 EDT 2016},

month = {Tue Jun 14 00:00:00 EDT 2016}

}

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