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Turning point

Category
STANDARD MATHEMATICS
Definition
A location where the qualitative form of an asymptotic solution changes and an ordinary approximation ceases to be uniform.
Math Level
TECHNICAL

Turning point

A turning point is a location where the qualitative form of an asymptotic solution changes and an approximation valid away from the transition ceases to be uniform.

Near a simple turning point, Airy functions frequently provide the appropriate local transition model.

See also: Airy function, asymptotic, Laguerre polynomial. .

Related glossary terms

  1. [..]Airy functionGLOSSARY · STANDARD MATHEMATICS
  2. [..]AsymptoticGLOSSARY · STANDARD MATHEMATICS
  3. [..]Laguerre polynomialGLOSSARY · STANDARD MATHEMATICS

Read this term in context

  1. [..]Airy functionARTICLE · ART-RC-0088
  2. [..]AsymptoticARTICLE · ART-RC-0090
  3. [..]Scaling lawARTICLE · ART-RC-0085
  4. [..]WKB approximationARTICLE · ART-RC-0091