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1

Time exponential splitting integrator for the Klein–Gordon equation with free parameters in the Hagstrom–Warburton absorbing boundary conditions

Alonso-Mallo, I., Portillo, A.M.

Journal:

Journal of Computational and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 540 KB

english, 2018

2

Spectral-fractional step Runge--Kutta discretizations for initial boundary value problems with time dependent boundary conditions

Alonso-Mallo, I., Cano, B., Jorge, J. C.

Journal:

Mathematics of Computation

Year:

2004

File:

PDF, 323 KB

2004

3

On the convolution operators arising in the study of abstract initial boundary value problems

Alonso-Mallo, I., Palencia, C.

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

1996

Language:

english

File:

PDF, 1.07 MB

english, 1996

4

Stability of Runge–Kutta–Nyström methods

I. Alonso-Mallo, B. Cano, M.J. Moreta

Journal:

Journal of Computational and Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 277 KB

english, 2006

5

Discrete Absorbing Boundary Conditions for Schrödinger-Type Equations. Construction and Error Analysis

Alonso-Mallo, Isaias, Reguera, Nuria

Journal:

SIAM Journal on Numerical Analysis

Year:

2003

Language:

english

File:

PDF, 578 KB

english, 2003

6

The stability of rational approximations of cosine functions on Hilbert spaces

I. Alonso-Mallo, B. Cano, M.J. Moreta

Journal:

Applied Numerical Mathematics

Year:

2009

Language:

english

File:

PDF, 226 KB

english, 2009

7

Absorbing boundary conditions and geometric integration: A case study for the wave equation

Alonso-Mallo, I., Portillo, A.M.

Journal:

Mathematics and Computers in Simulation

Year:

2015

Language:

english

File:

PDF, 1.53 MB

english, 2015

8

Optimal time order when implicit Runge–Kutta–Nyström methods solve linear partial differential equations

I. Alonso-Mallo, B. Cano, M.J. Moreta

Journal:

Applied Numerical Mathematics

Year:

2008

Language:

english

File:

PDF, 291 KB

english, 2008

9

Spectral-Fractional Step Runge-Kutta Discretizations for Initial Boundary Value Problems with Time Dependent Boundary Conditions

I. Alonso-Mallo, B. Cano and J. C. Jorge

Journal:

Mathematics of Computation

Year:

2004

Language:

english

File:

PDF, 596 KB

english, 2004

10

Discrete absorbing boundary conditions for Schrödinger-type equations. Practical implementation

Alonso-Mallo, Isaías, Reguera, Nuria

Journal:

Mathematics of Computation

Year:

2003

Language:

english

File:

PDF, 323 KB

english, 2003

11

Time exponential splitting technique for the Klein–Gordon equation with Hagstrom–Warburton high-order absorbing boundary conditions

Alonso-Mallo, I., Portillo, A.M.

Journal:

Journal of Computational Physics

Year:

2016

Language:

english

File:

PDF, 516 KB

english, 2016

12

A high order finite element discretization with local absorbing boundary conditions of the linear Schrödinger equation

Isaías Alonso-Mallo, Nuria Reguera

Journal:

Journal of Computational Physics

Year:

2006

Language:

english

File:

PDF, 267 KB

english, 2006

13

Stable Runge–Kutta–Nyström methods for dissipative stiff problems

I. Alonso-Mallo, B. Cano, M. J. Moreta

Journal:

Numerical Algorithms

Year:

2006

Language:

english

File:

PDF, 1.61 MB

english, 2006

14

Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems

I. Alonso-Mallo, B. Cano

Journal:

Applied Numerical Mathematics

Year:

2002

Language:

english

File:

PDF, 188 KB

english, 2002

15

Weak Ill-Posedness of Spatial Discretizations of Absorbing Boundary Conditions for Schrödinger-Type Equations

Alonso-Mallo, Isaias, Reguera, Nuria

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 305 KB

english, 2002

16

Explicit single step methods with optimal order of convergence for partial differential equations

Isaı́as Alonso-Mallo

Journal:

Applied Numerical Mathematics

Year:

1999

Language:

english

File:

PDF, 117 KB

english, 1999

17

Simulation of coherent structures in nonlinear Schrödinger-type equations

I. Alonso-Mallo, A. Durán, N. Reguera

Journal:

Journal of Computational Physics

Year:

2010

Language:

english

File:

PDF, 871 KB

english, 2010

18

Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods

Alonso-Mallo, I., Cano, B., Reguera, N.

Journal:

Applied Numerical Mathematics

Year:

2017

Language:

english

File:

PDF, 347 KB

english, 2017

19

Optimal orders of convergence for Runge–Kutta methods and linear, initial boundary value problems

I. Alonso-Mallo, C. Palencia

Journal:

Applied Numerical Mathematics

Year:

2003

Language:

english

File:

PDF, 167 KB

english, 2003

20

Avoiding order reduction when integrating linear initial boundary value problems with Lawson methods

Alonso-Mallo, I., Cano, B., Reguera, N.

Journal:

IMA Journal of Numerical Analysis

Year:

2016

Language:

english

File:

PDF, 350 KB

english, 2016

21

Discrete Absorbing Boundary Conditions for Schrödinger-Type Equations. Construction and Error Analysis

Isaías Alonso-Mallo and Nuria Reguera

Journal:

SIAM Journal on Numerical Analysis

Year:

2004

Language:

english

File:

PDF, 806 KB

english, 2004

22

High order full discretizations of coupled wave equations with absorbing boundary conditions and geometric integration

Alonso-Mallo, I., Portillo, A.M.

Journal:

Journal of Computational Physics

Year:

2014

Language:

english

File:

PDF, 537 KB

english, 2014

23

Avoiding order reduction when integrating linear initial boundary value problems with exponential splitting methods

Alonso-Mallo, I, Cano, B, Reguera, N

Journal:

IMA Journal of Numerical Analysis

Year:

2018

Language:

english

File:

PDF, 511 KB

english, 2018

24

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, M.J. Moreta

Journal:

Journal of Computational and Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 314 KB

english, 2005

25

A self-adjusting algorithm for solitary wave simulations

Alonso-Mallo, I., Reguera, N.

Journal:

International Journal of Computer Mathematics

Year:

2013

Language:

english

File:

PDF, 374 KB

english, 2013

26

Numerical detection and generation of solitary waves for a nonlinear wave equation

Alonso-Mallo, I., Reguera, N.

Journal:

Year:

2015

Language:

english

File:

PDF, 509 KB

english, 2015

27

Weak Ill-Posedness of Spatial Discretizations of Absorbing Boundary Conditions for Schrödinger-Type Equations

Isaías Alonso-Mallo and Nuria Reguera

Journal:

SIAM Journal on Numerical Analysis

Year:

2003

Language:

english

File:

PDF, 638 KB

english, 2003

28

Rational methods with optimal order of convergence for partial differential equations

Isaías Alonso-Mallo

Journal:

Applied Numerical Mathematics

Year:

2000

Language:

english

File:

PDF, 218 KB

english, 2000

29

Runge-Kutta methods without order reduction for linear initial boundary value problems

Isaías Alonso-Mallo

Journal:

Numerische Mathematik

Year:

2002

Language:

english

File:

PDF, 224 KB

english, 2002

30

Discrete Absorbing Boundary Conditions for Schrödinger-Type Equations. Practical Implementation

Isaías Alonso-Mallo and Nuria Reguera

Journal:

Mathematics of Computation

Year:

2004

Language:

english

File:

PDF, 373 KB

english, 2004

31

Avoiding order reduction when integrating reaction–diffusion boundary value problems with exponential splitting methods

Alonso-Mallo, I., Cano, B., Reguera, N.

Journal:

Journal of Computational and Applied Mathematics

Year:

2019

Language:

english

File:

PDF, 502 KB

english, 2019

32

A proof of the well posedness of discretized wave equation with an absorbing boundary condition

Alonso-Mallo, I., Portillo, A.M.

Journal:

Journal of Numerical Mathematics

Year:

2014

Language:

english

File:

PDF, 164 KB

english, 2014

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