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(2008)

Towards Digital Mathematics Library. Birmingham, United Kingdom, July 27th, 2008

Table of Contents

(2009)

Towards a Digital Mathematics Library. Grand Bend, Ontario, Canada, July 8-9th, 2009

The approximate symmetries of the vacuum Einstein equations

Tiller, Petr (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

The author reviews the theory of approximate infinitesimal symmetries of partial differential equations. Based on this and on Ibragimov's result on the general symmetries of the vacuum Einstein equation, he proposes a method to calculate approximate symmetries of the non-vacuum Einstein equation: the energy-momentum tensor is treated like a perturbation.

The box method and some error estimation

Mlýnek, Jaroslav (2008)

Programs and Algorithms of Numerical Mathematics

This article focuses its attention on practical use of the box method for solving certain type of partial differential equations. The heat conduction problem of the oil transformer under stationary load is described by this equation. The knowledge of the transformer operating temperature is important for ensuring correct functionality and lifespan of transformer. We consider an elliptic partial differential equation of second order with the Newton boundary condition on a rectangular domain. The...

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