Numerical Methods for Partial Differential and Integral Equations

 

Proceedings of national meetings

Work in
Progress
 
2009
  • Boal, N.; Gaspar, F.J.; Lisbona, F.J.; Vabishchevich, P.N. Numerical analysis of the double porosity consolidation model. Actas del XXI CEDYA/ XI CMA (Ciudad Real, 2009)  (electr).
  • Celorrio, R.; Apiñaniz, E.; Mendioroz, A.; Salazar, A. Reconstrucción del perfil interno de conductividad térmica mediante medidas superficiales de temperatura. Actas del XXI CEDYA/ XI CMA (Ciudad Real, 2009)  (electr).
  • Clavero, C.; Gracia, J.L.; Lisbona, F. Efficient numerical solutions for linear singularly perturbed coupled systems in the reaction terms. Actas del XXI CEDYA/ XI CMA (Ciudad Real, 2009)  (electr).
  • Domínguez, V. ; Graham, I.G.; Kim, T. ; Smyshlaev, V.P. Análisis matemático y numérico de un método de contorno para la simulación de la dispersión de ondas acústicas en altas frecuencias. Actas del XXI CEDYA/ XI CMA (Ciudad Real, 2009)  (electr).
2007
  • Clavero, C.; Gracia, J.L.; Lisbona, F.J.; Rodrigo, C. Efficient resolution of singularly perturbed coupled systmes: equations of reaction-diffusion. Actas del XX CEDYA/ X CMA (Sevilla, 2007)  (electr).
2006
  • Heidenreich, E.; Rodriguez, J.F.; Gaspar, F.; Doblaré, M. Esquemas compactos de cuarto orden para ecuaciones de reacción difusión monodominio. Actas de CASEIB-2006. XXIV Congreso Anual de la Sociedad Española de Ingeniería Biomédica Vol. 1 (2006) 105-108.
2005
  • C. Clavero, J.L. Gracia; Richardson extrapolation on a Shishkin mesh for reaction diffusion singularly perturbed problems. Actas del XIX CEDYA/ IX CMA (Leganés, 2005)  (electr)
  • Domínguez, V. ; Sayas, F.J.;  Solapamiento de elementos finitos y elementos de contorno para la ecuación de Stokes. Actas del XIX CEDYA/ IX CMA (Leganés, 2005)  (electr)
  • Laliena, A.; Sayas, F.J. LDBEM en problemas de difusión. Actas del XIX CEDYA/ IX CMA (Leganés,2005)  (electr)
  • Rapún, M.L.; Sayas, F.J. A direct boundary integral formulation and its discretization for Helmholtz transmission problems. Actas del XIX CEDYA/ IX CMA (Leganés,2005)  (electr)
2003
  • Domínguez, V. Un método dual de colocación para la ecuación del ala generalizada. J.M. Jornet, J.M. López, C. Olivé, R. Ramírez, eds. Actas del XVIII CEDYA/VIII CMA (Tarragona, 2003) (electronic)
  • Domínguez, V.; Rapún, M.L.; Sayas, F.J. Métodos de cuadratura para sistemas de ecuaciones integrales en el estudio de problemas de transmisión. J.M. Jornet, J.M. López, C. Olivé, R. Ramírez, eds. Actas del XVIII CEDYA/VIII CMA (Tarragona, 2003) (electronic)
  • Gracia, J.L.; Clavero, C. El método de Schwarz para problemas singularmente perturbados de reacción-difusión. J.M. Jornet, J.M. López, C. Olivé, R. Ramírez, eds. Actas del XVIII CEDYA/VIII CMA (Tarragona, 2003) (electronic)
2002
  • Celorrio, R.; Rapún, M.L.; Sayas, F.-J. A boundary element model with nearby neighbours for the study of the scattering of thermal waves. (Spanish)  J.M. Goicolea, C. Mota Soares, M. Pastor, G. Bugeda (eds.):  V Congreso de Métodos Numéricos en Ingeniería (Madrid, 2002) (electronic) SEMNI, 2002.
2001
  • Celorrio, R; Sayas, F.-J. Multiple scattering in thermal diffusion: iteration and preconditioning. Ferragut, L.; Santos, A. (eds). Proceedings of XVII CEDYA/VII CMA (Salamanca, 2001). Published in CDROM format.
  • Clavero, C., Gracia, J.L. Convergencia uniforme de orden alto con interpolación sobre mallas de Shishkin. Ferragut, L.; Santos, A. (eds). Proceedings of XVII CEDYA/VII CMA (Salamanca, 2001). Published in CDROM format.
  • Domínguez, V.; Sayas, F.-J. Boundary integral equations for the heat equation. Ferragut, L.; Santos, A. (eds). Proceedings of XVII CEDYA/VII CMA (Salamanca, 2001). Published in CDROM format.
1999
  • Celorrio, R.; Sayas, F.-J. The collocation method for periodic integral equations of the second kind. Actas de las V Jornadas Zaragoza-Pau de Matemática Aplicada (Jaca, 1997) 231--238, Universidad de Zaragoza, 1999
  • Celorrio, R; Domínguez, V.; Sayas, F.-J. Métodos de cargas puntuales en simulación de problemas de scattering acústico.  R. Abascal, J. Dominguez, G. Bugueda (eds.):  IV Congreso de Métodos Numéricos en Ingeniería (Sevilla, 1999) (electronic) SEMNI, 1999.
  • Domínguez, V.; Sayas, F.-J. Variantes del método de colocación para ecuaciones integrales de frontera. Actas del XVI Congreso de Ecuaciones Diferenciales y Aplicaciones / VI Congreso de Matemática Aplicada (Las Palmas de Gran Canaria, 1999), R. Montenegro, G. Montero y G. Winter (eds.) Universidad de Las Palmas de Gran Canaria, 1999, vol. II, 1053--1060
  • Gracia, J.L.; Lisbona, F.; Clavero, C. Un método uniformemente convergente sobre mallas de Shishkin para un problema elíptico con capas límite regular y parabólicas.Actas del XVI Congreso de Ecuaciones Diferenciales y Aplicaciones / VI Congreso deMatemática Aplicada (Las Palmas de Gran Canaria, 1999), R. Montenegro, G. Montero y G. Winter (eds.) Universidad de Las Palmas de Gran Canaria, 1999, vol. II, 1157-1164.
  • J.L Gracia, C. Clavero, F. Lisbona, Un método de orden 3 para problemas lineales de perturbación singular de tipo reacción-difusión. R. Abascal, J. Dominguez, G. Bugueda (eds.):  IV Congreso de Métodos Numéricos en Ingeniería (Sevilla, 1999) (electronic) SEMNI, 1999.
  • Pascau, A; Garrido, I.; Gaspar, F. Esquemas de alta resolución en volúmenes finitos. Factor de ponderación direccional vs. limitadores de flujo. R. Abascal, J. Dominguez, G. Bugueda (eds.):  IV Congreso de Métodos Numéricos en Ingeniería (Sevilla, 1999) (electronic) SEMNI, 1999.
1998
  • Celorrio, R.; Lisbona, F. J.; Sayas, F.-J. Integral models and their discretizations for unsaturated fluids around a tunnel. (Spanish) XV Congress on Differential Equations and Applications/V Congress on Applied Mathematics, Vol. I, II (Spanish) (Vigo, 1997), 655--660, Colecc. Congr., 9, Univ. Vigo, Vigo, 1998.
  • Clavero, C.; Gracia, J. L. Uniform convergence of a classical scheme on Shishkin meshes for a convection-diffusion problem. (Spanish) XV Congress on Differential Equations and Applications/V Congress on Applied Mathematics, Vol. I (Spanish) (Vigo, 1997), 237--242, Colecc. Congr., 9, Univ. Vigo, Vigo, 1998.
  • Gaspar, F. J.; Pascau, A. A new multigrid method for higher-order discretizations in convection-diffusion problems. (Spanish) XV Congress on Differential Equations and Applications/V Congress on Applied Mathematics, Vol. I, II (Spanish) (Vigo, 1997), 929--934, Colecc. Congr., 9, Univ. Vigo, Vigo, 1998. 65N55
  • Sayas, F.-J. Numerical approximation of hypersingular equations by Galerkin methods. XV Congress on Differential Equations and Applications/V Congress on Applied Mathematics, Vol. I, II (Spanish) (Vigo, 1997), 873--877, Colecc. Congr., 9, Univ. Vigo, Vigo, 1998.
1997
  • Sayas, F.-J. Neumann Data from Dirichlet Data in Laplace's Equation: a Numerical Algorithm. Actes des IV  Journées Zaragoza-Pau de Mathématiques Appliquées (Jaca, 1995) 337-346, Publications de l'Université de Pau, 1997.
1996
  • Aguilar, G; Celorrio, R; Lisbona, F.; Sayas, F.-J. Un problema de transmisión con discontinuidad y su aproximación numérica. III Congreso de Métodos Numéricos en Ingeniería (Zaragoza, 1996) 481-490, SEMNI, Barcelona, 1996.
  • Pascau, A.; Gaspar, F. Un método multimalla adaptativo para la solución de las ecuaciones de Navier-Stokes.II Congreso de Métodos Numéricos en Ingeniería (Zaragoza, 1996) 1766-1777, SEMNI, Barcelona, 1996.
1995
  • Clavero, C.; Jorge, J. C.; Lisbona, F. Fractional-step method and Shishkin meshes for convection-dominated convection-diffusion problems. (Spanish) XIV CEDYA/IV Congress of Applied Mathematics (Spanish)(Vic, 1995), 9 pp. (electronic), Univ. Barcelona, Barcelona.
  • Crouzeix, M.; Sayas, F.-J. First term of the asymptotic development in a Boundary Element Method: piecewise constant functions. In Actas del III Congreso de Matemática Aplicada -- XIII C.E.D.Y.A (Madrid, 1993), 163-168, Univ. Politécnica Madrid, 1995.
  • Lisbona, F.; Sayas, F.-J. Deferred correction and Richardson extrapolation in a Finite Element Method in Actas de las III Jornadas Zaragoza-Pau de Matemática Aplicada (1995)  427-435.
  • Sayas, F.-J. Integration of an exterior problem for the Laplace equation using a boundary element method. (Spanish) XIV CEDYA/IV Congress of Applied Mathematics (Spanish)(Vic, 1995), 5 pp. (electronic), Univ. Barcelona, Barcelona
1993
  • Aguilar, G.; Lisbona, F. Domain decomposition in models of viscous-nonviscous flow. (Spanish) III Congress on Applied Mathematics/XIII Congress on Differential Equations and Applications (Spanish) (Madrid, 1993), 269--274, Univ. Politéc. Madrid, Madrid, 1993.
  • Clavero, C.; Jorge, J. C.; Lisbona, F. Numerical solution of reaction-diffusion problems using a combination of alternating-direction and special mesh generation techniques. (Spanish) III Congress on Applied Mathematics/XIII Congress on Differential Equations and Applications (Spanish) (Madrid, 1993), 157--162, Univ. Politéc. Madrid, Madrid, 1993.
  • Pascau, A; Gaspar, F. Mallas colocalizadas en la resolución numérica de las ecuaciones de Navier-Stokes. III Congress on Applied Mathematics/XIII Congress on Differential Equations and Applications (Madrid, 1993), 246-252, Univ. Politéc. Madrid, Madrid, 1993.
  • Pascau, A.; Gaspar, F. Un método para la generación de mallas adaptables en las ecuaciones de transporte de un escalar. II Congreso de Métodos Numéricos en Ingeniería (La Coruña, 1993) 809-819, SEMNI, Barcelona, 1993.
1991
  • Aguilar, Gloria; Lisbona, Francisco A problem of infiltration in a stratified porous medium. (Spanish) Proceedings of the XII Congress on Differential Equations and Applications/II Congress on Applied Mathematics (Spanish) (Oviedo, 1991), 345--350, Univ. Oviedo, Oviedo, 1991.
  • Clavero, C.; Jorge, J. C.; Lisbona, F. Exponential-fitting and alternating-directions schemes for multidimensional stationary convection-diffusion problems. (Spanish) Proceedings of the XII Congress on Differential Equations and Applications/II Congress on Applied Mathematics (Spanish) (Oviedo, 1991), 215--220, Univ. Oviedo, Oviedo, 1991.
  • Meddahi, S.; Gaspar, F. A domain-decomposition method for a linear parabolic problem. (Spanish) Proceedings of the XII Congress on Differential Equations and Applications/II Congress on Applied Mathematics (Spanish) (Oviedo, 1991),  251--256, Univ. Oviedo, Oviedo, 1991.
1990 and
before
  • Clavero Gracia, Carmelo; Lisbona Cortés, Francisco J. Uniformly convergent schemes for singular perturbation problems with turning points. (Spanish) Proceedings of the XIth Congress on Differential Equations and Applications/First Congress on Applied Mathematics (Spanish) (Málaga, 1989), 189--193, Univ. Málaga, Málaga, 1990.
  • Usón, Fernando; Pétriz, Felipe; Lisbona, Francisco Petrov-Galerkin discretization for a singularly perturbed nonlinear problem. Multigrid algorithm. (Spanish) Proceedings of the XIVth Spanish-Portuguese Conference on Mathematics, Vol. I--III (Spanish) (Puerto de la Cruz, 1989), 1447--1451, Univ. La Laguna, La Laguna, 1990.
  • Lisbona, F. J.; Montijano, J. I. Order reachable by perturbed collocation methods. (Spanish) Proceedings of the tenth Spanish-Portuguese conference on mathematics, VIII (Murcia, 1985), 18--22, Univ. Murcia, Murcia, 1985.
  • Camarena, V.; Lisbona, F. J. The $\tau$-method and the Padé table of exponential functions. (Spanish) Proceedings of the tenth Spanish-Portuguese conference on mathematics, VIII (Murcia, 1985), 23--30, Univ. Murcia, Murcia, 1985.
  • Lisbona, F.; López de Silanes, M. C.; Pétriz, F. A new difference method for a singular perturbation problem. (Spanish) Proceedings of the tenth Spanish-Portuguese conference on mathematics, VIII (Murcia, 1985), 78--86, Univ. Murcia, Murcia, 1985.
  • Calvo, M.; Lisbona, F. J.; Montijano, J. I. Stability of BDF methods with variable steps according to the interpolation technique. (Spanish) Proceedings of the tenth Spanish-Portuguese conference on mathematics, VIII (Murcia, 1985), 1--10, Univ. Murcia, Murcia, 1985.
  • Lisbona, F.; López de Silanes, M. C.; Pétriz, F. Collocation for a class of singularly perturbed problems. (Spanish) Proceedings of the seventh congress on differential equations and applications (Granada, 1984), 233--238, Univ. Granada, Granada, 1985.
  • Gasca, Mariano; Lisbona, Francisco On the approximation of linear forms. (Spanish) Proceedings of the twelfth annual conference of Spanish mathematicians (Malága, 1976), 265--271, Univ. Málaga, Málaga, 1983.
  • Calvo, M.; Lisbona, F. J. Existence of two-sided error bounds in implicit one-step methods. (Spanish) Proceedings of the twelfth annual conference of Spanish mathematicians (Malága, 1976), 259--264, Univ. Málaga, Málaga, 1983.
  • Lisbona, F. J. A note on the order reachable by perturbed collocation methods. Proceedings of the ninth Spanish-Portuguese conference on mathematics, 2 (Salamanca, 1982), 833--836, Acta Salmanticensia. Ciencias, 46, Univ. Salamanca, Salamanca, 1982.
  • Calvo, M.; Lisbona, F. J. On the concept of stability in step-by-step methods. (Spanish) Contributions in probability and mathematical statistics, teaching of mathematics and analysis (Spanish), pp. 296--307, Grindley, Granada, 1979.
  • Calvo, M.; Lisbona, F. J. Existence of two-sided error bounds in implicit one-step methods. II. (Spanish) Proceedings of the sixth conference of Portuguese and Spanish mathematicians, Part I (Santander, 1979). Rev. Univ. Santander No. 2, part 1 (1979), 313--326.

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    These pages prepared by Francisco-Javier Sayas
    jsayas@unizar.es