Australian Mathematical Society (AustMS): E-Journals
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A local projection stabilization for convection-diffusion-reaction equations using biorthogonal systems
No full textWe consider a local projection stabilization based on biorthogonal systems for convection–diffusion–reaction differential equations with mixed boundary conditions. The approach based on biorthogonal systems is numerically more efficient than other existing approaches to obtain a uniform approximation for convection dominated problems. We prove optimal a priori error estimates for the proposed numerical technique. Numerical examples are presented to demonstrate the performance of the approach.
doi: 10.1017/S144618112300001
Reilly-type upper bounds for the -Steklov problem on submanifolds
No full texthttp://dx.doi.org/10.1017/S0004972712000330
Erd\H{o}s properties of subsets of the Mahler set
No full text
http://dx.doi.org/10.1017/S0004972712000330
A note on powerful numbers in short intervals
No full texthttp://dx.doi.org/http://dx.doi.org/10.1017/S000497272200099
An amazing identity of Gauss and Jenkins' Lemma
No full texthttp://dx.doi.org/10.1017/S000497271200033