H
Hunter Johnston
Researcher at Texas A&M University
Publications - 22
Citations - 326
Hunter Johnston is an academic researcher from Texas A&M University. The author has contributed to research in topics: Differential equation & Boundary value problem. The author has an hindex of 8, co-authored 22 publications receiving 172 citations. Previous affiliations of Hunter Johnston include Marshall Space Flight Center.
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Extreme theory of functional connections: A fast physics-informed neural network method for solving ordinary and partial differential equations
TL;DR: The results show that, for most of the problems considered, X-TFC achieves high accuracy with low computational time, even for large scale PDEs, without suffering the curse of dimensionality.
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High accuracy least-squares solutions of nonlinear differential equations
TL;DR: This study shows how to obtain least-squares solutions to initial and boundary value problems of ordinary nonlinear differential equations by using an approximate solution obtained by any existing integrator using a constrained expression derived from Theory of Connections.
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Fuel-Efficient Powered Descent Guidance on Large Planetary Bodies via Theory of Functional Connections
TL;DR: A nonlinear least-squares method is used to solve the fuel-efficient powered descent guidance problem on large planetary bodies with no atmosphere using the recently developed Theory of Functional Connections and produces solutions of O ( 10 - 10 ) accuracy.
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Analytically Embedding Differential Equation Constraints into Least Squares Support Vector Machines Using the Theory of Functional Connections.
TL;DR: This paper looks to compare the application of the Theory of Functional Connections (TFC) with one based on least-squares support vector machines (LS-SVM), and TFC is shown to be slightly faster and more accurate than the LS-S VM and CSVM approaches.
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Least-squares solutions of boundary-value problems in hybrid systems
Hunter Johnston,Daniele Mortari +1 more
TL;DR: The proposed framework is used to solve the one-dimensional convection–diffusion equation to further highlight the utility of the Theory of Functional Connections outside of hybrid systems.