From classical numerical mathematics to scientific computing.
Hackbusch, Wolfgang (1998)
Documenta Mathematica
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Displaying similar documents to “Global error estimation in the numerical solution of integro-differential equations by Euler's method”
From classical numerical mathematics to scientific computing.
Numerical Error Bounds for Fourth Order Boundary Value Problems, Simultaneous Estimation of u(x) and u"(x).
Johann Schröder (1984)
Numerische Mathematik
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Error estimate for the characteristic method involving Oldroyd derivative in a tensorial transport problem.
Bensaada, Mohammed, Esselaoui, Driss, Saramito, Pierre (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Numerical resolution of an “unbalanced” mass transport problem
Jean-David Benamou (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We introduce a modification of the Monge–Kantorovitch problem of exponent 2 which accommodates non balanced initial and final densities. The augmented Lagrangian numerical method introduced in [6] is adapted to this “unbalanced” problem. We illustrate the usability of this method on an idealized error estimation problem in meteorology.
A multi-space error estimation approach for meshfree methods
Rüter, Marcus, Chen, Jiun-Shyan
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Error-controlled adaptive meshfree methods are presented for both global error measures, such as the energy norm, and goal-oriented error measures in terms of quantities of interest. The meshfree method chosen in this paper is the reproducing kernel particle method (RKPM), since it is based on a Galerkin scheme and therefore allows extensions of quality control approaches as already developed for the finite element method. Our approach of goal-oriented error estimation is based on the...