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Galerkin and Runge-Kutta methods: Unified formulation, a posteriori error estimates and nodal superconvergence
(with G. Akrivis and R. Nochetto) Numer. Math. 118 (2011), 429 - 456 pdf

Analysis for time discrete approximations of blow-up solutions of semilinear parabolic equations
(with I. Kyza) SIAM J. Numer. Anal. 49 (2011) 405 - 426 pdf

Sharply localized pointwise a posteriori error estimates for parabolic problems
(with A. Demlow) Math. Comp. 79 (2010), 1233-1262. pdf

Pointwise a posteriori error estimates for parabolic problems via el liptic reconstruction
(with A. Demlow, O. Lakkis) SIAM J. Numer. Anal. 47 (2009), 2157-2176 pdf

A posteriori error control for Runge-Kutta discretizations of evolution problems
(with G. Akrivis and R. Nochetto), Numer. Math. 114 (2009), 133 - 160 pdf

A posteriori error estimates and maximal regularity for approximations of fully nonlinear parabolic problems in Banach spaces
(with E. Cuesta), Numer. Math. 110, (2008), 257-275 pdf

A posteriori estimates for approximations of time dependent Stokes equations
(with F. Karakatsani) IMA Journal of Numerical Analysis 27 (2007) 741-764 pdf

Space and Time Reconstructions in A Posteriori Analysis of Evolution Problems, ESAIM: Proceedings, September 2007, vol. 21, 31–44 pdf

Elliptic reconstruction and a posteriori error analysis for fully discrete linear parabolic problems
(with O. Lakkis) Math. Comp. 75 (2006), 1627–1658 pdf

A posteriori error analysis for higher order dissipative methods for evolution problems
(with R. Nochetto) Numer. Math. 104 (2006), 489–514. pdf

A posteriori error estimates for the Crank-Nicolson method for parabolic equations
(with G. Akrivis and R. Nochetto) Math. Comp. 75 (2006), 511-531. pdf

Galerkin time stepping schemes for nonlinear parabolic Problems
(with G. Akrivis) Math. Model. Numer. Anal. 38 (2004) 261-289 pdf-file

Elliptic reconstruction and a posteriori error estimates for parabolic problems
(with R. Nochetto) SIAM J. Numer. Anal. 41 (2003), no. 4, 1585-1594 paper - pdf-file

Convergence of the discontinuous Galerkin method for nonlinear parabolic problems
(with G. Akrivis) preprint

Implicit-explicit multistep finite element methods for nonlinear parabolic problems
(with G. Akrivis and M. Crouzeix)
Mathematics of Computation,  67 (1998), 457-477   pdf file

Implicit-explicit multistep  methods for quasilinear parabolic equations
(with G. Akrivis and  M. Crouzeix) Numer. Math. 82 (1999) 521 - 541.  pdf-file

On the stability of the discontinuous Galerkin method for the heat equation
(with I. Babuska)  SIAM J. Numer. Anal.  34  (1997) 389-401   ps file

Other Problems >

standard schemes for the Helmholtz equation

Schroedinger equations

finite volumes for Hamilton-Jacobi

Stokes and Navier-Stokes

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Papers by computational methods (and methodologies)

Time and space-time finite elements >

a priori analysis of the time dg-method

a posteriori estimates

A posteriori error control / reconstruction methods >

time discrete schemes

space and fully discrete schemes

nonlinear problems

Geometrical driven adaptivity >

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