Publicaciones

Los siguientes trabajos son el resultado de la investigación realizada durante el proyecto anterior, titulado ‘Resolución Numérica Precisa en Tiempo de Ecuaciones en Derivadas Parciales’ (RNTEDP):

2022:

  • B. Cano and N. Reguera, CMMSE: Analysis of order reduction when Lawson methods integrate nonlinear initial boundary value problems, Mathematical Methods in the Applied Sciences (2022), 1-12. https://doi.org/10.1002/mma.8451.
  • B. Cano and N. Reguera, Order reduction and how to avoid it when Lawson methods integrate reaction-diffusion boundary value problems, BIT Numerical Mathematics 62 (2022), 431–463. https://doi.org/10.1007/s10543-021-00879-8.
  • B. Cano and M. J. Moreta, Avoiding order reduction with explicit Runge-Kutta exponential methods in nonlinear initial boundary value problems, remitido para su publicación.

2021:

  • I. Alonso-Mallo and B. Cano, Efficient time integration of nonlinear partial differential quations by means of Rosenbrock methods, Mathematics 9 (16) (2021), 1970. https://doi.org/10.3390/math1010000.
  • I. Alonso-Mallo, B. Cano and N. Reguera, Comparison of efficiency among different techniques to avoid order reduction with Strang splitting, Numerical Methods for Partial Differential Equations 37 (1) (2021), 854-873. https://doi.org/10.1002/num.22556.
  • I. Alonso-Mallo and A. M. Portillo, Integrating semilinear wave problems with time-dependent boundary values using arbitrarily high-order splitting methods, Mathematics 9 (10) (2021), 1113. https://doi.org/10.3390/math9101113.
  • B. Cano and N. Reguera, Why Improving the accuracy of exponential Integrators can decrease their computational cost?, Mathematics 9 (9) (2021), 1008. https://doi.org/10.3390/math9091008.
  • J. E. Macías-Díaz, N. Reguera and A. J. Serna-Reyes, An efficient discrete model to approximate the solutions of a nonlinear double-fractional two-component Gross–Pitaevskii-type system, Mathematics 9 (21) (2021), 2727. https://doi.org/10.3390/math9212727.
  • M. J. Moreta, Rosenbrock-type methods for solving non-linear second-order in time problems, Mathematics 9 (18) (2021), 2225. https://doi.org/10.3390/math9182225.
  • A. J. Serna-Reyes , J. E. Macías-Díaz and N. Reguera, A convergent three-step numerical method to solve a double-fractional two-component Bose–Einstein condensate, Mathematics 9 (12) (2021), 1412. https://doi.org/10.3390/math9121412.

2020:

  • B. Bujanda, M. J. Moreta and J. C. Jorge, New fractional Runge-Kutta-Nyström methods up to order three, Applied Mathematics and Computation 366 (2020), 124743. https://doi.org/10.1016/j.amc.2019.124743.
  • B. Cano and M. J. Moreta, A modified Gautschi’s method without order reduction when integrating boundary value nonlinear wave problems, Applied Mathematics and Computation 373 (2020), 125022. https://doi.org/10.1016/j.amc.2019.125022.
  • B. Cano and A. Durán, On nonparaxial nonlinear Schrödinger-type equations, Journal of Computational and Applied Mathematics 373 (2020), 112163. https://doi.org/10.1016/j.cam.2019.02.029.

2019:

  • I. Alonso-Mallo, B. Cano and N. Reguera, Avoiding order reduction when integrating reaction-diffusion boundary value problems with exponential splitting methods, Journal of Computational and Applied Mathematics 357 (2019), 228–250. https://doi.org/10.1016/j.cam.2019.02.023.

Si se desea cualquier subrutina relacionada con los algoritmos implementados en los artículos previos, pónganse en contacto con los autores correspondientes.