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Displaying 241 – 260 of 398

On the convergence of the backward Euler algorithm for the multidimensional heat equation

Ion Aurel Cristescu (2014)

Applicationes Mathematicae

The backward Euler algorithm for the multidimensional nonhomogeneous heat equation is analyzed, based on the finite element method. The existence and uniqueness of the numerical solution is investigated. Also, the convergence of the numerical solutions is studied.

On the existence of solutions and one-step method for functional-differential equations with parameters

Tadeusz Jankowski (1994)

Czechoslovak Mathematical Journal

On the function $g_{λ}^{*}$ and the heat equation

C. Segovia, R. Wheeden (1970)

Studia Mathematica

On the Heat Equation and the Index Theorem.

M. Atiyah, R. Bott, V.K. Patodi (1973)

Inventiones mathematicae

On the heat kernel and the Korteweg--de Vries hierarchy

Plamen Iliev (2005)

Annales de l’institut Fourier

We give explicit formulas for Hadamard's coefficients in terms of the tau-function of the Korteweg-de Vries hierarchy. We show that some of the basic properties of these coefficients can be easily derived from these formulas.

On the iterated Green functions on a bounded domain and their related Kato class of potentials.

Mâagli, Habib, Zeddini, Noureddine (2007)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

On the lack of null-controllability of the heat equation on the half space.

Micu, S., Zuazua, E. (2001)

Portugaliae Mathematica. Nova Série

On the Numerical Errors in One Step Algorithms for Time Dependent Problems.

S. Pissanetzky, F.G. Basombrio (1982)

Numerische Mathematik

On the Numerical Integration of the Heat Equation.

J. DESCLOUX (1970)

Numerische Mathematik

On the numerical solution of the diffusion equation with a nonlocal boundary condition.

Dehghan, Mehdi (2003)

Mathematical Problems in Engineering

On the parallel domain decomposition algorithms for time-dependent problems.

Lapin, A., Pieskä, J. (2002)

Lobachevskii Journal of Mathematics

On the rate of convergence of difference schemes for the heat transfer equation on the solutions from $w_{2}^{s, s / 2}$

L. D. Ivanović, B. S. Jovanović, E. E. Süli (1984)

Matematički Vesnik

On the regularity of the blow-up set for semilinear heat equations

Hatem Zaag (2002)

Annales de l'I.H.P. Analyse non linéaire

On the singular limit of solutions to the Cox-Ingersoll-Ross interest rate model with stochastic volatility

Beáta Stehlíková, Daniel Ševčovič (2009)

Kybernetika

In this paper we are interested in term structure models for pricing zero coupon bonds under rapidly oscillating stochastic volatility. We analyze solutions to the generalized Cox–Ingersoll–Ross two factors model describing clustering of interest rate volatilities. The main goal is to derive an asymptotic expansion of the bond price with respect to a singular parameter representing the fast scale for the stochastic volatility process. We derive the second order asymptotic expansion of a solution...

On the spectral geometry of algebraic curves.

Jochen Brüning, Matthias Lesch (1996)

Journal für die reine und angewandte Mathematik

On the Stefan problem: the variational approach and some applications

Alain Damlamian (1985)

Banach Center Publications

On the wellposed singular boundary value problems for heat operator

Sigeru Mizohata (1983)

Journées équations aux dérivées partielles

On the well-posedness of the heat equation on unbounded domains.

Arendt, Wolfgang, Rhali, Soumia Lalaoui (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Operational Methods in the Environment of a Computer Algebra System

Spiridonova, Margarita (2009)

Serdica Journal of Computing

This article presents the principal results of the doctoral thesis “Direct Operational Methods in the Environment of a Computer Algebra System” by Margarita Spiridonova (Institute of mathematics and Informatics, BAS), successfully defended before the Specialised Academic Council for Informatics and Mathematical Modelling on 23 March, 2009.The presented research is related to the operational calculus approach and its representative applications. Operational methods are considered, as well as their...

Operatori pseudo-differenziali anisotropi su varietà fogliettate

Cesare Parenti (1974)

Rendiconti del Seminario Matematico della Università di Padova

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