Runge-Kutta methods without order reduction for linear initial boundary value problems I Alonso-Mallo Numerische Mathematik 91, 577-603, 2002 | 61 | 2002 |
Weak ill-posedness of spatial discretizations of absorbing boundary conditions for Schrödinger-type equations IÍ Alonso-Mallo, N Reguera SIAM Journal on Numerical Analysis 40 (1), 134-158, 2002 | 49 | 2002 |
Spectral-fractional step Runge–Kutta discretizations for initial boundary value problems with time dependent boundary conditions I Alonso-Mallo, B Cano, J Jorge Mathematics of Computation 73 (248), 1801-1825, 2004 | 44 | 2004 |
Discrete absorbing boundary conditions for Schrödinger-type equations. construction and error analysis I Alonso-Mallo, N Reguera SIAM Journal on numerical Analysis 41 (5), 1824-1850, 2003 | 35 | 2003 |
Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems I Alonso-Mallo, B Cano Applied numerical mathematics 41 (2), 247-268, 2002 | 31 | 2002 |
Avoiding order reduction of Runge–Kutta discretizations for linear time-dependent parabolic problems I Alonso-Mallo, B Cano BIT Numerical Mathematics 44, 1-20, 2004 | 29 | 2004 |
Stability of Runge–Kutta–Nyström methods I Alonso-Mallo, B Cano, MJ Moreta Journal of computational and applied mathematics 189 (1-2), 120-131, 2006 | 27 | 2006 |
Avoiding order reduction when integrating reaction–diffusion boundary value problems with exponential splitting methods I Alonso-Mallo, B Cano, N Reguera Journal of Computational and Applied Mathematics 357, 228-250, 2019 | 26 | 2019 |
Optimal orders of convergence for Runge–Kutta methods and linear, initial boundary value problems I Alonso-Mallo, C Palencia Applied numerical mathematics 44 (1-2), 1-19, 2003 | 26 | 2003 |
Avoiding order reduction when integrating linear initial boundary value problems with Lawson methods I Alonso-Mallo, B Cano, N Reguera IMA Journal of Numerical Analysis 37 (4), 2091-2119, 2017 | 22 | 2017 |
Order reduction and how to avoid it when explicit Runge–Kutta–Nyström methods are used to solve linear partial differential equations I Alonso-Mallo, B Cano, MJ Moreta Journal of computational and applied mathematics 176 (2), 293-318, 2005 | 22 | 2005 |
Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods I Alonso-Mallo, B Cano, N Reguera Applied Numerical Mathematics 118, 64-74, 2017 | 21 | 2017 |
Discrete absorbing boundary conditions for Schrödinger-type equations. Practical implementation I Alonso-Mallo, N Reguera Mathematics of computation 73 (245), 127-142, 2004 | 21 | 2004 |
Rational methods with optimal order of convergence for partial differential equations I Alonso-Mallo Applied numerical mathematics 35 (4), 265-292, 2000 | 20 | 2000 |
Avoiding order reduction when integrating linear initial boundary value problems with exponential splitting methods I Alonso-Mallo, B Cano, N Reguera IMA Journal of Numerical Analysis 38 (3), 1294-1323, 2018 | 19 | 2018 |
On the convolution operators arising in the study of abstract initial boundary value problems I Alonso-Mallo, C Palencia Proceedings of the Royal Society of Edinburgh Section A: Mathematics 126 (3 …, 1996 | 17 | 1996 |
Optimal time order when implicit Runge–Kutta–Nyström methods solve linear partial differential equations I Alonso-Mallo, B Cano, MJ Moreta Applied numerical mathematics 58 (5), 539-562, 2008 | 14 | 2008 |
A high order finite element discretization with local absorbing boundary conditions of the linear Schrödinger equation I Alonso-Mallo, N Reguera Journal of Computational Physics 220 (1), 409-421, 2006 | 14 | 2006 |
Explicit single step methods with optimal order of convergence for partial differential equations I Alonso-Mallo Applied numerical mathematics 31 (2), 117-131, 1999 | 12 | 1999 |
Avoiding order reduction when integrating linear initial boundary value problems with Lawson methods I Alonso, BC Mallo, N Reguera submitted for publication, 2017 | 10 | 2017 |