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Community Curation and Management of Mathematical Literature

Burns, John;  Kerr, Nigel — 2009

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

JSTOR is one of the primary providers of scholarly mathematics texts, providing access to journals in mathematics and the sciences dating back to the mid 1600’s. There is now a critical mass of literature online and the task going forward is as much to provide tools to make it more accurate, more discoverable and more usable as it is to add more material. Often the tool building can be done by collaboration between information retrieval experts and practitioners in the field, irrespective of the...

Numerical Approximations of the Dynamical System Generated by Burgers’ Equation with Neumann–Dirichlet Boundary Conditions

Edward J. Allen;  John A. Burns;  David S. Gilliam — 2013

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Using Burgers’ equation with mixed Neumann–Dirichlet boundary conditions, we highlight a problem that can arise in the numerical approximation of nonlinear dynamical systems on computers with a finite precision floating point number system. We describe the dynamical system generated by Burgers’ equation with mixed boundary conditions, summarize some of its properties and analyze the equilibrium states for finite dimensional dynamical systems that are generated by numerical approximations of this...

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