Numerical Analysis and Computational Mathematics
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Recent papers in Numerical Analysis and Computational Mathematics
We study the relationship between finite volume and mixed finite element methods for the the hyperbolic conservation laws, and the closely related convection-diffusion equations. A general framework is proposed for the derivation and a... more
A common observation is that large groups of oscillatory biological units often have the ability to synchronize. A paradigmatic model of such behavior is provided by the Kuramoto model, which achieves synchronization through coupling of... more
We investigate the 3-edge coloring problem, based on the idea to give an algorithm, that attempts to minimize the use of color 4 (in a 4-edge coloring), and to study the factors that force it to fail. More specific, we introduce the... more
We prove the existence of mild solutions for a partial neutral functional integrodifferential equation with unbounded delay using the Leray–Schauder alternative.
A new nonlinear integral-equation model is derived in terms of hodograph variables for free-surface flow past an arbitrary bottom obstruction. A numerical method, carefully chosen to solve the resulting nonlinear algebraic equations and a... more