About the deficient spline collocation method for particular differential and integral equations with delay.

Calió, F.; Marchetti, E.; Pavani, R.

Displaying similar documents to “About the deficient spline collocation method for particular differential and integral equations with delay.”

B-spline bases and osculating flats : one result of H.-P. Seidel revisited

Marie-Laurence Mazure (2002)

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

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Along with the classical requirements on B-splines bases (minimal support, positivity, normalization) we show that it is natural to introduce an additional “end point property”. When dealing with multiple knots, this additional property is exactly the appropriate requirement to obtain the poles of nondegenerate splines as intersections of osculating flats at consecutive knots.

A numerical method in terms of the third derivative for a delay integral equation from biomathematics.

Bica, Alexandru, Iancu, Crăciun (2005)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Oscillations of second-order neutral impulsive differential equations.

Cheng, Jin-Fa, Chu, Yu-Ming (2010)

Journal of Inequalities and Applications [electronic only]

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Time domain decomposition in final value optimal control of the Maxwell system

John E. Lagnese, G. Leugering (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider a boundary optimal control problem for the Maxwell system with a final value cost criterion. We introduce a time domain decomposition procedure for the corresponding optimality system which leads to a sequence of uncoupled optimality systems of local-in-time optimal control problems. In the limit full recovery of the coupling conditions is achieved, and, hence, the local solutions and controls converge to the global ones. The process is inherently parallel and is suitable...