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The neural network collocation method for solving partial differential equations

Adam R. Brink, David Najera-Flores, Cari Martinez

2020Neural Computing and Applications28 citationsDOI

Topics & Concepts

Collocation methodPartial differential equationElliptic partial differential equationNonlinear systemHyperbolic partial differential equationNumerical partial differential equationsMathematicsComputer scienceCollocation (remote sensing)Stiffness matrixArtificial neural networkApplied mathematicsMathematical optimizationDifferential equationMathematical analysisFinite element methodArtificial intelligenceOrdinary differential equationQuantum mechanicsPhysicsMachine learningThermodynamicsNumerical methods in engineeringModel Reduction and Neural NetworksAdvanced Numerical Methods in Computational Mathematics
The neural network collocation method for solving partial differential equations | Litcius