This preview shows page 1. Sign up to view the full content.
Unformatted text preview: approximations, we must define two quantities:
1. Operators
2. Residuals
Operators have a domain and a range, and map functions in the domain to functions in the
range. For instance, let L denote the following differential operator: Then L applied to a function f is denoted by Lf where In general, equations can be written efficiently in operator notation. For instance, Becomes Essentially any equations can be expressed in operator form. An important property of many
operators arising in nuclear engineering is the property of linearity. A linear operator, L, satisfies
(
for any two functions, and ) , and any two constants, and . A residual is associated with an arbitrary function and an equation. For instance, let us denote an
arbitrary equation by The residual associated with an arbitrary function ( ⃗ ) is
()
Note that ( ) if and...
View
Full
Document
This note was uploaded on 10/06/2013 for the course NEUN 430 taught by Professor Morel during the Fall '10 term at Texas A&M.
 Fall '10
 Morel

Click to edit the document details