ParametricFunction

ParametricFunction[pars,]

represents a function that computes a solution when evaluated with numerical values for the parameters pars.

Details

  • ParametricFunction is generated by ParametricNDSolve and ParametricNDSolveValue.
  • A ParametricFunction object pfun is evaluated by using pfun[pvals] where pvals are explicit numerical values for the parameters pars.
  • A ParametricFunction may return numbers, functions, or more complicated expressions based on the underlying computation.
  • Derivatives of ParametricFunction are computed using a combination of symbolic and numerical sensitivity methods when possible.

Examples

Basic Examples  (1)

Parameters for a harmonic oscillator:

With numerical values, an approximate function is returned:

Derivatives of the ParametricFunction give the sensitivity solutions:

Wolfram Research (2012), ParametricFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/ParametricFunction.html.

Text

Wolfram Research (2012), ParametricFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/ParametricFunction.html.

CMS

Wolfram Language. 2012. "ParametricFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ParametricFunction.html.

APA

Wolfram Language. (2012). ParametricFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ParametricFunction.html

BibTeX

@misc{reference.wolfram_2024_parametricfunction, author="Wolfram Research", title="{ParametricFunction}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/ParametricFunction.html}", note=[Accessed: 20-July-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_parametricfunction, organization={Wolfram Research}, title={ParametricFunction}, year={2012}, url={https://reference.wolfram.com/language/ref/ParametricFunction.html}, note=[Accessed: 20-July-2024 ]}