Efficient Implementation of Jacobi's Diagonalization Method on the DAP.
J.J. Modi, J.D. Pryce (1985)
Numerische Mathematik
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J.J. Modi, J.D. Pryce (1985)
Numerische Mathematik
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Benoît Perthame, Stephane Génieys (2010)
Mathematical Modelling of Natural Phenomena
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The nonlocal Fisher equation has been proposed as a simple model exhibiting Turing instability and the interpretation refers to adaptive evolution. By analogy with other formalisms used in adaptive dynamics, it is expected that concentration phenomena (like convergence to a sum of Dirac masses) will happen in the limit of small mutations. In the present work we study this asymptotics by using a change of variables that leads to a constrained Hamilton-Jacobi equation. We prove the convergence...
Boychev, Georgi (2011)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 33C45, 40G05. In this paper we give some results concerning the equiconvergence and equisummability of series in Jacobi polynomials.
Jean-David Benamou, Philippe Hoch (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We describe both the classical Lagrangian and the Eulerian methods for first order Hamilton–Jacobi equations of geometric optic type. We then explain the basic structure of the software and how new solvers/models can be added to it. A selection of numerical examples are presented.