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dc.contributor.authorGurel L.en_US
dc.description.abstractFor more than two decades, several forms of fast multipole methods have been extremely successful in various scientific disciplines. Reduced complexity solutions are obtained for solving different forms of equations that are derived from Maxwell's equations, such as Helmholtz's equation for electrodynamics and Laplace's equation for electrostatics. Fast multipole solvers are developed for and applied to the integral equations derived from Helmholtz's and Laplace's equations. Fast multipole solvers are kernel-dependent techniques, i.e., they rely on certain analytical properties of the integral-equation kernels, such as diagonalizability. Electromagnetics is not the only discipline benefiting from the fast multipole methods; a plethora of computations in various disciplines, such as the solution of Schroedinger's equation in quantum mechanics and the calculation of gravitational force in astrophysics, to name a few, exploit the reduced-complexity nature of the fast multipole methods. Acoustics, molecular dynamics, structural mechanics, and fluid dynamics can be mentioned as other disciplines served by the fast multipole methods. © 2014 IEEE.en_US
dc.source.title2014 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), USNC-URSI 2014 - Proceedingsen_US
dc.subjectLaplace equationen_US
dc.subjectLaplace transformsen_US
dc.subjectMaxwell equationsen_US
dc.subjectMolecular dynamicsen_US
dc.subjectQuantum theoryen_US
dc.subjectSchrodinger equationen_US
dc.subjectAnalytical propertiesen_US
dc.subjectFast multipole methoden_US
dc.subjectGravitational forcesen_US
dc.subjectHelmholtz's equationsen_US
dc.subjectLaplace's equationsen_US
dc.subjectMaxwell's equationsen_US
dc.subjectScientific disciplineen_US
dc.subjectStructural mechanicsen_US
dc.subjectIntegral equationsen_US
dc.titleFast multipole methods in service of various scientific disciplinesen_US
dc.typeConference Paperen_US
dc.publisherInstitute of Electrical and Electronics Engineers Inc.en_US

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