Results 1 to 10 of about 234 (191)
A Two Dimensional Discrete Mollification Operator and the Numerical Solution of an Inverse Source Problem [PDF]
Axioms, 2018 We consider a two-dimensional time fractional diffusion equation and address the important inverse problem consisting of the identification of an ingredient in the source term. The fractional derivative is in the sense of Caputo.
Manuel D. Echeverry, Carlos E. Mejía
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Surface fitting and numerical gradient computations by discrete mollification
Computers and Mathematics With Applications, 1999 We review the δ-mollification procedure for automatic fitting of surfaces defined from discrete noisy data functions in R2. As a further application, the stable numerical computation of gradient fields from discrete noisy data is also investigated.
D A Murio
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Mollification in Strongly Lipschitz Domains with Application to Continuous and Discrete De Rham Complexes [PDF]
Computational Methods in Applied Mathematics, 2016 International audienceWe construct mollification operators in strongly Lipschitz domains that do not invoke non-trivial extensions, are L p stable for any real number p ∈ [1, ∞], and commute with the differential operators ∇, ∇×, and ∇·.
Alexandre Ern, Jean-Luc Guermond
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Discrete mollification and automatic numerical differentiation
Computers and Mathematics With Applications, 1998 An automatic method for numerical differentiation, based on discrete mollification and the principle of generalized cross validation is presented. With data measured at a discrete set of points of a given interval, the method allows for the approximate ...
D A Murio
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Numerical identification of a nonlinear diffusion coefficient by discrete mollification
Computers and Mathematics With Applications, 2011 The discrete mollification method is a convolution-based filtering procedure suitable for the regularization of ill-posed problems. Combined with explicit space-marching finite difference schemes, it provides stability and convergence for a variety of ...
CARLOS E Mejia, CARLOS D Acosta
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Automatic numerical differentiation by discrete mollification
Computers and Mathematics With Applications, 1987 A new, very simple, totally automated and powerful technique for numerical differentiation based on the computation of the derivative of a suitable filtered version of the noisy data by discrete mollification is presented.
D A Murio
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Nonlinear Engineering, 2023 In this article, the inverse time problem is investigated. Regarding the ill-posed linear problem, utilize the quasi-reversibility method first. This problem has been regularized and after that provides an iterative regularizing strategy for noisy input ...
Rahimi Mostafa, Rostamy Davood
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Journal of Computational and Applied Mathematics, 1988 A procedure for the numerical solution of the one-dimensional inverse heat conduction problem, based on the computaion of the solution associated with a suitable filtered version of the noisy data by discrete mollification is presented and a parameter ...
Diego A Murio
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Discrete stability analysis of the mollification method for numerical differentiation
Computers and Mathematics With Applications, 1990 The method of numerical differentiation by discrete mollification is presented in a fully discretized environment. New and rigorous results for the numerical stability and error analysis of the algorithm, in the presence of noisy data, are derived.
D A Murio
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Numerical solution of generalized IHCP by discrete mollification
Computers and Mathematics With Applications, 1996 A numerical space marching algorithm based on discrete mollification and automatic iterative filtering by Generalized Cross Validation is applied to the solution of a generalized one-dimensional inverse heat conduction problem.
D A Murio
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