# Numerical Errors in DNS: Total Run-Time Error

## Abstract

Understanding numerical errors in simulations is critical for many reasons. First and foremost, one must some estimate concerning the reliability of the final result. Simply put, numerical errors add up over time and in most cases the increase is a linear process. It is quite possible that running a code for a very long time can lead to a solution which is completely meaningless even though it may look reasonable. This manuscript will begin a technical discussion on these issues.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Livermore National Lab., CA (US)

- Sponsoring Org.:
- USDOE Office of Defense Programs (DP) (US)

- OSTI Identifier:
- 793863

- Report Number(s):
- UCRL-ID-139138

TRN: US200302%%661

- DOE Contract Number:
- W-7405-Eng-48

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 6 Jun 2000

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; A CODES; RELIABILITY; LAWRENCE LIVERMORE NATIONAL LABORATORY

### Citation Formats

```
Jameson, L.
```*Numerical Errors in DNS: Total Run-Time Error*. United States: N. p., 2000.
Web. doi:10.2172/793863.

```
Jameson, L.
```*Numerical Errors in DNS: Total Run-Time Error*. United States. doi:10.2172/793863.

```
Jameson, L. Tue .
"Numerical Errors in DNS: Total Run-Time Error". United States. doi:10.2172/793863. https://www.osti.gov/servlets/purl/793863.
```

```
@article{osti_793863,
```

title = {Numerical Errors in DNS: Total Run-Time Error},

author = {Jameson, L},

abstractNote = {Understanding numerical errors in simulations is critical for many reasons. First and foremost, one must some estimate concerning the reliability of the final result. Simply put, numerical errors add up over time and in most cases the increase is a linear process. It is quite possible that running a code for a very long time can lead to a solution which is completely meaningless even though it may look reasonable. This manuscript will begin a technical discussion on these issues.},

doi = {10.2172/793863},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2000},

month = {6}

}

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