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math.NA2025
Boundary-value problems of functional differential equations with state-dependent delays
Alessia andò, Jan Sieber
We prove convergence of piecewise polynomial collocation methods applied to periodic boundary value problems for functional differential equations with state-dependent delays. The…
math.NA2025
Spectral element methods for boundary-value problems of functional differential equations
Alessia andò, Jan Sieber
We prove convergence of the spectral element method for piecewise polynomial collocation applied to periodic boundary value problems for functional differential equations. In parti…
math.NA2024
Exponential Runge-Kutta methods for delay equations in the sun-star abstract framework
Alessia Ando', Rossana Vermiglio
Exponential Runge-Kutta methods for semilinear ordinary differential equations can be extended to abstract differential equations, defined on Banach spaces. Thanks to the sun-star…