Organizers: Reguera López, Nuria (U. de Burgos), Portillo de la Fuente, Ana María (U. de Valladolid), Moreta, María Jesús (Universidad Complutense de Madrid)
Abstract
As is well known, solving numerically partial differential equations is an important subject in Mathematics and it is essential when addressing applications of Mathematics in other fields of Science and Technology.
The purpose of this minisymposium is to discuss recent progresses in the numerical integration of partial differential equations: integer or fractional-order nonlinear problems, avoiding order reduction when integrating nonlinear initial-boundary value problems, domain decomposition methods or splitting methods for convection-diffusion systems among others.
Keywords: Numerical methods; Partial differential equations
Session 7. Thursday 11:30 -13:35 Room A8.
Chair: Moreta, María Jesús (Universidad Complutense de Madrid)
Speaker |
Organization |
Contribution title |
Herrero, Henar |
Universidad de Castilla-La Mancha |
Two levels of mesh alternating Schwarz domain decomposition method |
Alonso-Mallo, Isaías |
Universidad de Valladolid |
Modified Splitting methods to integrate nonlinear wave problems with non vanishing boundary values |
Cano, Begoña |
Universidad de Valladolid |
How to avoid order reduction when explicit exponential Runge-Kutta methods integrate reaction-diffusion initial boundary value problems |
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Session 8. Thursday 18:00 -20:00. Room A8. Chair: Reguera, Nuria (Universidad de Burgos)
Speaker |
Organization |
Contribution title |
Macías-Díaz, Jorge E. |
Universidad Autónoma de Aguascalientes, México |
Fractional generalization of the Fermi-Pasta-Ulam-Tsingou media and theoretical analysis of a variational scheme |
Serna-Reyes, Adan J. |
Universidad Autónoma de Aguascalientes |
Numerical Method to solve the Gross-Pitaevskii system using Caputo time-fractional derivatives |
Martínez Jiménez, Luis R. |
Universidad Autónoma de Aguascalientes, México |
Conservative numerical model for a double fractional Klein-Gordon-Zakharov system |
Muñoz Pérez, Luis Fernando |
Universidad Autónoma de Aguascalientes, México |
On the solution of a time fractional extension for Higgs Boson equation in the de Sitter space-time |
Alba Pérez, Joel |
Universidad Autónoma de Aguascalientes, México |
A positive and bounded scheme for predator-prey systems with diffusion and Caputo fractional derivative in time |
Session 9. Friday 11:30 – 12:45. Room A8.
Chair: Portillo de la Fuente, Ana María (U. de Valladolid)
Speaker |
Organization |
Contribution title |
Moreta, María Jesús |
Universidad Complutense de Madrid |
A modified Gautschi's method without order reduction when integrating boundary value nonlinear wave problems |
Reguera López, Nuria |
Universidad de Burgos |
Avoiding order reduction when integrating nonlinear initial boundary value problems with Lawson methods. |
Herrera de la Cruz, Jorge |
Universidad Complutense |
Design of an algorithm to solve numerically the Hamilton-Jacobi-Bellman PDE equations based on Semi-Lagrangian discretization |
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