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math.NA2023★ 1 cited
Discontinuous collocation and symmetric integration methods for distributionally-sourced hyperboloidal partial differential equations
Michael F. O'Boyle, Charalampos Markakis
This work outlines a time-domain numerical integration technique for linear hyperbolic partial differential equations sourced by distributions (Dirac -functions and their deriva…
math.NA2019★ 1 cited
Time-symmetry, symplecticity and stability of Euler-Maclaurin and Lanczos-Dyche integration
Charalampos M. Markakis, Michael F. O'Boyle, Derek Glennon +5
Numerical evolution of time-dependent differential equations via explicit Runge-Kutta or Taylor methods typically fails to preserve symmetries of a system. It is known that there e…