Numerical integration of partial differential equations

Numerical integration of partial differential equations

Organizers: Reguera López, Nuria (U. de Burgos), Portillo de la Fuente, Ana María (U. de Valladolid), Moreta, María Jesús (Universidad Complutense de Madrid)


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)



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








Session 8. Thursday 18:00 -20:00. Room A8. Chair: Reguera, Nuria (Universidad de Burgos)



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)



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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