Results 21 to 30 of about 4,907 (238)
Recovery of coefficients of a heat equation by Ritz collocation method
Kuwait Journal of Science, 2023 In this work, we discuss a one dimensional inverse problem for the heat equation where the unknown functions are solely time-dependent lower order coefficient and multiplicative source term. We use as data two integral overdetermination conditions along
Prof.Kamal Rashedi
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Singular kernels, multiscale decomposition of microstructure, and dislocation models [PDF]
, 2010 We consider a model for dislocations in crystals introduced by Koslowski, Cuiti\~no and Ortiz, which includes elastic interactions via a singular kernel behaving as the $H^{1/2}$ norm of the slip. We obtain a sharp-interface limit of the model within the
A. Garroni +20 more
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Mathematics, 2019 In this paper, the ill-posed problem of the two-dimensional modified Helmholtz equation is investigated in a strip domain. For obtaining a stable numerical approximation solution, a mollification regularization method with the de la Vallée Poussin ...
Shangqin He, Xiufang Feng
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, 1999 In our previous paper on this topic, we introduced the notion of k-Hessian measure associated with a continuous k-convex function in a domain \Om in Euclidean n-space, k=1,...,n, and proved a weak continuity result with respect to local uniform ...
Trudinger, Neil S., Wang, Xu-Jia
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Inverse Reconstruction of Cell Proliferation Laws in Cancer Invasion Modelling
Mathematics in Applied Sciences and Engineering, 2021 The process of local cancer cell invasion of the surrounding tissue is key for the overall tumour growth and spread within the human body, the past 3 decades witnessing intense mathematical modelling efforts in these regards.
Dumitru Trucu, Maher Alwuthaynani
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Average Interpolation Under the Maximum Angle Condition [PDF]
, 2012 Interpolation error estimates needed in common finite element applications using simplicial meshes typically impose restrictions on the both the smoothness of the interpolated functions and the shape of the simplices.
Rand, Alexander
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A Numerical Approximation Method for the Inverse Problem of the Three-Dimensional Laplace Equation
Mathematics, 2019 In this article, an inverse problem with regards to the Laplace equation with non-homogeneous Neumann boundary conditions in a three-dimensional case is investigated.
Shangqin He, Xiufang Feng
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Frontiers in Earth Science, 2023 Study of the pre-blast weakening of hard-top coal water injection is especially important to solve problems related to the low recovery rate of coal resources and frequent dynamic disasters due to the low degree of fragmentation of hard-top coal during ...
Leiming Zhang +4 more
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Discrete mollification and automatic numerical differentiation
Computers & Mathematics with Applications, 1998 Numerical differentiation is an unreliable procedure in the case of a function with noise. The authors continue the study of their proposal to remedy this by a mollification procedure. This is based on the idea of replacing the given function by a convolution product with a smooth function of a given type with small support.
Murio, D.A., Mejía, C.E., Zhan, S.
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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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