Preprints

  1. Tran, B., Southworth, B., Buvoli, T. (2024) “Order Conditions for Nonlinearly Partitioned Runge-Kutta Methods”
  2. Buvoli, T., & Southworth, B. (2024) “A New Class of Runge-Kutta Methods for Nonlinearly Partitioned Systems”
  3. Southworth, B., Olivier, S., Park, H., Buvoli, T. (2024) “One-sweep moment-based semi-implicit-explicit integration for gray thermal radiation transport”
  4. Buvoli, T. (2020) “Constructing Polynomial Block Methods”

Publications

  1. Buvoli, T., & Minion, M. L. (2023) “Exponential Runge-Kutta Parareal for Non-Diffusive Equations”. Journal of Computational Physics, 497, 112623
  2. Buvoli, T., & Southworth, B. (2023) “Additive Polynomial Time Integrators, Part I: Framework and Fully-Implicit-Explicit (FIMEX) Collocation Methods”, 45(6), A2945-A2972
  3. Dallerit, V., Buvoli, T., Tokman, M., & Gaudreault, S. (2023). “Second-order Rosenbrock-exponential (ROSEXP) methods for partitioned differential equations”. Numerical Algorithms, 1-19.
  4. Buvoli, T., & Minion, M. L. (2022). On the stability of exponential integrators for non-diffusive equations. Journal of Computational and Applied Mathematics, 409, 114126.
  5. Buvoli, T. (2021). “Exponential Polynomial Block Methods”. SIAM Journal on Scientific Computing, 43(3), A1692-A1722.
  6. Buvoli T., & Minion, M. (2021). “IMEX Runge-Kutta Parareal for Non-diffusive Equations”. In: Ong B., Schroder J., Shipton J., Friedhoff S. (eds) Parallel-in-Time Integration Methods. PinT 2020. Springer Proceedings in Mathematics & Statistics, vol 356. Springer, Cham.
  7. Buvoli, T. (2020). “A Class of Exponential Integrators Based on Spectral Deferred Correction”. SIAM Journal on Scientific Computing, 42(1), A1-A27.
  8. Buvoli, T., & Tokman, M. (2019). “Constructing New Time Integrators Using Interpolating Polynomials”. SIAM Journal on Scientific Computing, 41(5), A2911-A2937

Conference Proceedings

  1. Buvoli, T. (2017). "Polynomial multipoint methods." AIP Conference Proceedings. Vol. 1863. No. 1. AIP Publishing, 2017.