Runge-Kutta methods without order reduction for linear initial boundary value problems. - Isaías Alonso-Mallo (Numerische Mathematik, 2002)

Weak Ill-Posedness of Spatial Discretizations of Absorbing Boundary Conditions for Schrödinger-Type Equations. - Isaías Alonso-Mallo; Nuria Reguera (SIAM J. Numer. Anal., 2002)

Discrete Absorbing Boundary Conditions for Schrödinger-Type Equations. Construction and Error Analysis. - Isaías Alonso-Mallo; Nuria Reguera (SIAM J. Numer. Anal., 2003)

Spectral-fractional step Runge-Kutta discretizations for initial boundary value problems with time dependent boundary conditions. - Isaías Alonso-Mallo; Begoña Cano; J. C. Jorge (Math. Comput., 2004)

Discrete absorbing boundary conditions for Schröinger-type equations. Practical implementation. - Isaías Alonso-Mallo; Nuria Reguera (Math. Comput., 2004)

A high order finite element discretization with local absorbing boundary conditions of the linear Schrödinger equation. - Isaías Alonso-Mallo; Nuria Reguera (J. Comput. Phys., 2006)

Stable Runge-Kutta-Nyström methods for dissipative stiff problems. - Isaías Alonso-Mallo; Begoña Cano; M. J. Moreta (Numer. Algorithms, 2006)

Local Absorbing Boundary Conditions for a Finite Element Discretization of the Cubic Nonlinear Schrödinger Equation. - Isaías Alonso-Mallo; Nuria Reguera (World Congress on Engineering, 2007)

Simulation of coherent structures in nonlinear Schrödinger-type equations. - Isaías Alonso-Mallo; Angel Durán; Nuria Reguera (J. Comput. Phys., 2010)

A self-adjusting algorithm for solitary wave simulations. - Isaías Alonso-Mallo; Nuria Reguera (Int. J. Comput. Math., 2013)

High order full discretizations of coupled wave equations with absorbing boundary conditions and geometric integration. - Isaías Alonso-Mallo; Ana M. Portillo (J. Comput. Phys., 2014)

A proof of the well posedness of discretized wave equation with an absorbing boundary condition. - Isaías Alonso-Mallo; Ana M. Portillo (J. Num. Math., 2014)

Absorbing boundary conditions and geometric integration: A case study for the wave equation. - Isaías Alonso-Mallo; Ana M. Portillo (Math. Comput. Simul., 2015)

Time exponential splitting technique for the Klein-Gordon equation with Hagstrom-Warburton high-order absorbing boundary conditions. - Isaías Alonso-Mallo; Ana M. Portillo (J. Comput. Phys., 2016)

Time exponential splitting integrator for the Klein-Gordon equation with free parameters in the Hagstrom-Warburton absorbing boundary conditions. - Isaías Alonso-Mallo; Ana M. Portillo (J. Comput. Appl. Math., 2018)

Avoiding order reduction when integrating reaction-diffusion boundary value problems with exponential splitting methods. - Isaías Alonso-Mallo; Begoña Cano; Nuria Reguera (J. Comput. Appl. Math., 2019)

Avoiding order reduction phenomenon for general linear methods when integrating linear problems with time dependent boundary values. - Isaías Alonso-Mallo; Nuria Reguera (J. Comput. Appl. Math., 2024)