Results 31 to 40 of about 354 (235)
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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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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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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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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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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Mollification of the fourth moment of Dirichlet $L$-functions [PDF]
Acta Arithmetica, 2019 We evaluate some twisted fourth moment of Dirichlet $L$-functions at the central point s=1/2 and for prime moduli q. The principal tool is a careful analysis of a shifted convolution problem involving the divisor function using spectral theory of automorphic forms and bounds for bilinear forms in Kloosterman sums.
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Advances in Mathematical Physics, 2019 We consider a dam-water system modeled as a fluid-structure interaction, specifically, a coupled hyperbolic second-order problem, formulated in terms of the displacement of the structure and the fluid pressure.
Ricardo Faria +2 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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FEBS Letters, EarlyView.Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil +4 more
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