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Explicit single step methods with optimal order of convergence for partial differential equations Appl. Numer. Math. 31 117--131 (1999) Alonso-Mallo, Isaías
On the convolution operators arising in the study of abstract initial-boundary value problems Proc. Roy. Soc. Edinburgh Sect. A 126 515--539 (1996) Alonso-Mallo, I. and Palencia, C.
Spectral-fractional step Runge-Kutta discretizations for initial boundary value problems with time dependent boundary conditions Math. Comp. 73 1801--1825 (electronic) (2004) Alonso-Mallo, I. and Cano, B. and Jorge, J. C.
Avoiding order reduction of Runge-Kutta discretizations for linear time-dependent parabolic problems BIT 44 1--20 (2004) Alonso-Mallo, I. and Cano, B.
Discrete absorbing boundary conditions for Schrödinger-type equations. Practical implementation Math. Comp. 73 127--142 (electronic) (2004) Alonso-Mallo, Isaías and Reguera, Nuria
Discrete absorbing boundary conditions for Schrödinger-type equations, construction and error analysis SIAM J. Numer. Anal. 41 1824--1850 (electronic) (2003) Alonso-Mallo, Isaías and Reguera, Nuria
Optimal orders of convergence for Runge-Kutta methods and linear, initial boundary value problems Appl. Numer. Math. 44 1--19 (2003) Alonso-Mallo, I. and Palencia, C.
Weak ill-posedness of spatial discretizations of absorbing boundary conditions for Schrödinger-type equations SIAM J. Numer. Anal. 40 134--158 (electronic) (2002) Alonso-Mallo, Isaías and Reguera, Nuria
Runge-Kutta methods without order reduction for linear initial boundary value problems Numer. Math. 91 577--603 (2002) Alonso-Mallo, Isaías
Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems Appl. Numer. Math. 41 247--268 (2002) Alonso-Mallo, I. and Cano, B.
Rational methods with optimal order of convergence for partial differential equations Appl. Numer. Math. 35 265--292 (2000) Alonso-Mallo, Isaías
The stability of rational approximations of cosine functions on Hilbert spaces Appl. Numer. Math. 59 21--38 (2009) Alonso-Mallo, I. and Cano, B. and Moreta, M. J.
Optimal time order when implicit Runge-Kutta-Nyström methods solve linear partial differential equations Appl. Numer. Math. 58 539--562 (2008) Alonso-Mallo, I. and Cano, B. and Moreta, M. J.
A high order finite element discretization with local absorbing boundary conditions of the linear Schrödinger equation J. Comput. Phys. 220 409--421 (2006) Alonso-Mallo, Isaías and Reguera, Nuria
Stable Runge-Kutta-Nyström methods for dissipative stiff problems Numer. Algorithms 42 193--203 (2006) Alonso-Mallo, I. and Cano, B. and Moreta, M. J.
Stability of Runge-Kutta-Nyström methods J. Comput. Appl. Math. 189 120--131 (2006) Alonso-Mallo, I. and Cano, B. and Moreta, M. J.
Order reduction and how to avoid it when explicit Runge-Kutta-Nyström methods are used to solve linear partial differential equations J. Comput. Appl. Math. 176 293--318 (2005) Alonso-Mallo, I. and Cano, B. and Moreta, M. J.
A proof of the well posedness of discretized wave equation with an absorbing boundary condition J. Numer. Math. 22 271--287 (2014) Alonso-Mallo, I. and Portillo, A. M.
High order full discretizations of coupled wave equations with absorbing boundary conditions and geometric integration J. Comput. Phys. 265 16--33 (2014) Alonso-Mallo, I. and Portillo, A. M.
Simulation of coherent structures in nonlinear Schrödinger-type equations J. Comput. Phys. 229 8180--8198 (2010) Alonso-Mallo, I. and Durán, A. and Reguera, N.
Time exponential splitting technique for the Klein-Gordon equation with Hagstrom-Warburton high-order absorbing boundary conditions J. Comput. Phys. 311 196--212 (2016) Alonso-Mallo, I. and Portillo, A. M.
Numerical detection and generation of solitary waves for a nonlinear wave equation Wave Motion 56 137--146 (2015) Alonso-Mallo, I. and Reguera, N.
Absorbing boundary conditions and geometric integration: a case study for the wave equation Math. Comput. Simulation 111 1--16 (2015) Alonso-Mallo, I. and Portillo, A. M.
A self-adjusting algorithm for solitary wave simulations INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 90 2174-2184 (2013) Isaías Alonso Mallo, Nuria Reguera
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Equivalence theorems for incomplete spaces: an appraisal IMA J. Numer. Anal. 4 109--115 (1984) Palencia, C. and Sanz-Serna, J. M.
A general equivalence theorem in the theory of discretization methods Math. Comp. 45 143--152 (1985) Sanz-Serna, J. M. and Palencia, C.
Abstract initial-boundary value problems Proc. Roy. Soc. Edinburgh Sect. A 124 879--908 (1994) Palencia, C. and Alonso Mallo, I.
On the stability of variable stepsize rational approximations of holomorphic semigroups Math. Comp. 62 93--103 (1994) Palencia, C.
A stability result for sectorial operators in Banach spaces SIAM J. Numer. Anal. 30 1373--1384 (1993) Palencia, C.
Stability of linear multistep methods for sectorial operators in Banach spaces Appl. Numer. Math. 12 503--520 (1993) Palencia, C. and García-Archilla, B.
An exact Riemann solver for a fluidized bed model IMA J. Numer. Anal. 11 493--508 (1991) Christie, I. and Palencia, C.
Backward Euler method for abstract time-dependent parabolic equations with variable domains Numer. Math. 82 471--490 (1999) Palencia, C.
Stability of Runge-Kutta methods for abstract time-dependent parabolic problems: the Hölder case Math. Comp. 68 73--89 (1999) González, C. and Palencia, C.
Stability of time-stepping methods for abstract time-dependent parabolic problems SIAM J. Numer. Anal. 35 973--989 (electronic) (1998) González, C. and Palencia, C.
Maximum norm analysis of completely discrete finite element methods for parabolic problems SIAM J. Numer. Anal. 33 1654--1668 (1996) Palencia, C.
On the convolution operators arising in the study of abstract initial-boundary value problems Proc. Roy. Soc. Edinburgh Sect. A 126 515--539 (1996) Alonso-Mallo, I. and Palencia, C.
Stability of rational multistep approximations of holomorphic semigroups Math. Comp. 64 591--599 (1995) Palencia, C.
On the numerical inversion of the Laplace transform of certain holomorphic mappings Appl. Numer. Math. 51 289--303 (2004) López-Fernández, M. and Palencia, C.
A numerical method for an integro-differential equation with memory in Banach spaces: qualitative properties SIAM J. Numer. Anal. 41 1232--1241 (electronic) (2003) Cuesta, E. and Palencia, C.
A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces Appl. Numer. Math. 45 139--159 (2003) Cuesta, E. and Palencia, C.
Optimal orders of convergence for Runge-Kutta methods and linear, initial boundary value problems Appl. Numer. Math. 44 1--19 (2003) Alonso-Mallo, I. and Palencia, C.
A new numerical method for backward parabolic problems in the maximum-norm setting SIAM J. Numer. Anal. 40 1405--1420 (electronic) (2002) Marbán, J. M. and Palencia, C.
Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems Math. Comp. 71 1529--1543 (2002) Calvo, M. P. and Palencia, C.
Sharpening the estimate of the stability constant in the maximum-norm of the Crank-Nicolson scheme for the one-dimensional heat equation Appl. Numer. Math. 42 133--140 (2002) Faragó, I. and Palencia, C.
On the numerical recovery of a holomorphic mapping from a finite set of approximate values Numer. Math. 91 57--75 (2002) Marbán, J. M. and Palencia, C.
Backward Euler discretization of fully nonlinear parabolic problems Math. Comp. 71 125--145 (electronic) (2002) González, C. and Ostermann, A. and Palencia, C. and Thalhammer, M.
On multiplicative perturbations of $-groups and $-cosine operator functions Semigroup Forum 63 127--152 (2001) Palencia, C. and Piskarev, S.
Shadowing for nonautonomous parabolic problems with applications to long-time error bounds SIAM J. Numer. Anal. 37 1399--1419 (electronic) (2000) Ostermann, Alexander and Palencia, Cesar
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Runge-Kutta convolution quadrature methods for well-posed equations with memory Numer. Math. 107 589--614 (2007) Calvo, M. P. and Cuesta, E. and Palencia, C.
A class of explicit multistep exponential integrators for semilinear problems Numer. Math. 102 367--381 (2006) Calvo, M. P. and Palencia, C.
Convolution quadrature time discretization of fractional diffusion-wave equations Math. Comp. 75 673--696 (electronic) (2006) Cuesta, Eduardo and Lubich, Christian and Palencia, Cesar
A generalized gamma mixture model for ultrasonic tissue characterization Comput. Math. Methods Med. 0 Art. ID 481923, 25 (2012) Vegas-Sanchez-Ferrero, Gonzalo and Aja-Fernandez, Santiago and Palencia, Cesar and Martin-Fernandez, Marcos
A direct calculation of moments of the sample variance Math. Comput. Simulation 82 790--804 (2012) Vegas-Sánchez-Ferrero, Gonzalo and Aja-Fernández, Santiago and Martín-Fernández, Marcos and Palencia, César
Nonlinear Bloch modes, optical switching and Bragg solitons in tightly coupled micro-ring resonator chains j. Optics 14 015205 (2012) P. Chamorro-Posada, P. Martin-Ramos, J. Sanchez-Curto, J. C. Garcia-Escartin, J. A. Calzada, C. Palencia, A. Durán
Lack of dissipativity is not symplecticness BIT 35 269--276 (1995) Portillo, A. and Sanz-Serna, J. M.
Are high order variable step equistage initializers better than standard starting algorithms? J. Comput. Appl. Math. 169 333--344 (2004) Calvo, M. P. and Portillo, A.
Variable step implementation of {ETD} methods for semilinear problems Appl. Math. Comput. 196 627--637 (2008) Calvo, M. P. and Portillo, A. M.
A proof of the well posedness of discretized wave equation with an absorbing boundary condition J. Numer. Math. 22 271--287 (2014) Alonso-Mallo, I. and Portillo, A. M.
High order full discretizations of coupled wave equations with absorbing boundary conditions and geometric integration J. Comput. Phys. 265 16--33 (2014) Alonso-Mallo, I. and Portillo, A. M.
Time exponential splitting technique for the Klein-Gordon equation with Hagstrom-Warburton high-order absorbing boundary conditions J. Comput. Phys. 311 196--212 (2016) Alonso-Mallo, I. and Portillo, A. M.
Absorbing boundary conditions and geometric integration: a case study for the wave equation Math. Comput. Simulation 111 1--16 (2015) Alonso-Mallo, I. and Portillo, A. M.

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