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Carl Leake

14 papers hereh-index 11506 citations22 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author2
  • first author3
  • middle author7
  • last author1

Across the 13 of 14 papers where every author was matched, so the position is known.

fields
  • math.NA3
  • cs.DS2
  • math.AP2
  • astro-ph.EP1
  • astro-ph.IM1
  • cs.LG1

identity via Semantic Scholar / OpenAlex

activity
20182023
most citedDeep Theory of Functional Connections: A New Method for Estimating the Solutions of PDEs

88 citations · 233 across the 14 of their papers we have counts for

collaborators
Showing 2020 · math.NAShow all

2 papers · 2 filters

math.NA2020★ 45 cited

The Multivariate Theory of Functional Connections: Theory, Proofs, and Application in Partial Differential Equations

Carl Leake, Hunter Johnston, Daniele Mortari

This article presents a reformulation of the Theory of Functional Connections: a general methodology for functional interpolation that can embed a set of user-specified linear cons…

math.NA2020★ 12 cited

Least-squares Solutions of Eighth-order Boundary Value Problems using the Theory of Functional Connections

Hunter Johnston, Carl Leake, Daniele Mortari

This paper shows how to obtain highly accurate solutions of eighth-order boundary-value problems of linear and nonlinear ordinary differential equations. The presented method is ba…

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