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Explicit Runge-Kutta time integrators for one dimensional spatially discrete semilinear parabolic equation
Semilinear parabolic equation Runge-Kutta methods
2010/9/26
Explosive instabilities in two uniform spatially discrete schemes for a semilinear parabolic equation in one space dimension are studied by intensive numerical simulations. We shows for both schemes t...
Classification of spatially homogeneous rotating space-times according to their conformal vector fields
Direct integration technique Conformal vector field
2010/9/13
Direct integration technique is used to study non conformally flat spatially homogeneous rotating space-times according to their conformal vector fields. It is shown that the above space-times do not ...
Identification of a spatially dependent conductivity in two dimensions
Identification of a spatially dependent conductivity dimensions
2010/9/14
From some measured data on the boundary of a domain in two dimensions, we get the unknown conductivity coefficient in the whole domain by applying Backus-Gilbert method on some integral identity. Prac...