Enhancement of Krylov subspace spectral methods by block Lanczos iteration.
Lambers, James V. (2008)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Betsakos, Dimitrios (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
Paul Malliavin (1975)
Annales de l'institut Fourier
Une équation de la chaleur est construite dans laquelle le temps est la coordonnée radiale ; il en résulte des formules intégrales et des estimations de l’aire de diviseurs. La théorie de Littlewood-Paley est développée dans le cadre admissible.
M. Atiyah, R. Bott, V.K. Patodi (1975)
Inventiones mathematicae
C. Baiocchi, G. A. Pozzi (1977)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Tommi Kärkkäinen (1997)
Applications of Mathematics
The identification problem of a functional coefficient in a parabolic equation is considered. For this purpose an output least squares method is introduced, and estimates of the rate of convergence for the Crank-Nicolson time discretization scheme are proved, the equation being approximated with the finite element Galerkin method with respect to space variables.
O. Axelsson (1977)
Numerische Mathematik
Xiong, Xiang-Tuan, Fu, Chu-Li, Qian, Zhi, Gao, Xiang (2006)
International Journal of Mathematics and Mathematical Sciences
K. Kunisch, K. A. Murphy, G. Peichl (1993)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
D. Caillerie (1983)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Dimovski, Ivan, Tsankov, Yulian (2012)
Mathematica Balkanica New Series
MSC 2010: 44A35, 44A45, 44A40, 35K20, 35K05In this paper a method for obtaining exact solutions of the multidimensional heat equations with nonlocal boundary value conditions in a finite space domain with time-nonlocal initial condition is developed. One half of the space conditions are local, and the other are nonlocal. Extensions of Duhamel principle are obtained. In the case when the initial value condition is a local one i.e. of the form u(x1; :::; xn; 0) = f(x1; :::; xn) the problem reduces...
K.L. Teo (1980)
Aequationes mathematicae
Pileckas, Konstantin, Keblikas, V. (2005)
Sibirskij Matematicheskij Zhurnal
Hofmann, Steve, Lewis, John L., Nyström, Kaj (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
Diagana, Toka, Agarwal, Ravi P. (2009)
Boundary Value Problems [electronic only]
dos Santos, José Paulo Carvalho, Cuevas, Claudio, de Andrade, Bruno (2011)
Advances in Difference Equations [electronic only]
Doležel, Ivo, Šolín, Pavel, Ulrych, Bohuš (2002)
Equadiff 10
Rehman, M.A., Taj, M.S.A., Butt, M.M. (2010)
Acta Mathematica Universitatis Comenianae. New Series
Dejan R. Bojović (2010)
Kragujevac Journal of Mathematics
Miroslav Dont (1997)
Mathematica Bohemica
The Fourier problem on planar domains with time moving boundary is considered using integral equations. Solvability of those integral equations in the space of bounded Baire functions as well as the convergence of the corresponding Neumann series are proved.