Transfinite interpolation: Difference between revisions

Revision as of 21:18, 24 February 2016

Revision as of 07:48, 1 August 2017

Line 1:

In [[numerical analysis]], '''transfinite interpolation''' is a means to construct [[Function (mathematics)|functions]] over a planar ___domain in such a way that they match a given function on the boundary. This method is applied in [[geometric model]]ling and in the field of [[finite element method]]. <ref name="Dyken2009"/>

The transfinite interpolation method, first introduced by William J. Gordon and Charles A. Hall,<ref name="Hall73"/> receives its name due to how a function belonging to this class is able to match the primitive function at a nondenumerable number of points.<ref name="Gordon82"/>

Line 32:

| journal = International Journal for Numerical Methods in Engineering

| volume = 7

| pages = 461-177461–477

| year = 1973

| doi=10.1002/nme.1620070405

Line 49:

| publisher =

| url =

| doi = 10.1016/0096-3003(82)90191-6}}

| volume=10–11}}

</ref>

<ref name="Dyken2009">{{cite journal

Line 61 ⟶ 62:

| volume = 1

| year = 2009

| pages = 117-134117–134

| doi = 10.1016/j.cagd.2007.12.003}}

</ref>

</references>

[[Category:Interpolation]]