2024
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DiscoTEX: Discontinuous collocation methods and implicit-turned-explicit (IMTEX) time-integration symplectic, symmetric numerical algorithms with higher-order-jumps for differential equations II: Extensions to higher-order of numerical convergence, Lidia J. Gomes Da Silva, arXiv pre-print:2411.14399.
The d'Alembert solution in hyperboloidal foliations, Juan A. Valiente Kroon, Lidia J. Gomes Da Silva, Gen.Rel.Grav. 56 (2024) 7, 85. arXiv prep-print: 2403.07045.
DiscoTEX: Discontinuous collocation methods and implicit-turned-explicit (IMTEX) time-integration symplectic, symmetric numerical algorithms with higher-order-jumps for differential equations I: Applications to numerical black-hole perturbation theory, Lidia J. Gomes Da Silva, arXiv pre-print:2401.08758.
2023
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Hyperboloidal discontinuous time-symmetric numerical algorithm with higher-order jumps for gravitational self-force computations in the time-domain, Lidia J. Gomes Da Silva, Rodrigo Panosso Macedo, Jonathan E. Thomspon, Juan A. Valiente Kroon, Leanne Durkan, Oliver Long. arXiv pre-print: 2306.13153.
2022
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Conservative evolution of black-hole perturbations with time-symmetric numerical methods, "…", Lidia J. Gomes Da Silva, Nelson Eiro, Rodrigo Panosso Macedo, Juan A. Valiente Kroon, arXiv pre-print: 2210.02550.