Results 21 to 30 of about 255 (138)

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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Study of the response characteristics of the water–force coupling action of hard coal bodies in steeply inclined coal seams

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, Leiming Zhang, Xingping Lai, Xingping Lai, Rui Bai   +4 more
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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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Homotopy analysis method for discrete quasi-reversibility mollification method of nonhomogeneous backward heat conduction problem

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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A Fluid-Structure Interaction Model for Dam-Water Systems: Analytical Study and Application to Seismic Behavior

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, Sérgio Oliveira, Ana L. Silvestre   +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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Charaterisation of function spaces via mollification; fractal quantities for distributions

Journal of Function Spaces and Applications, 2003
The aim of this paper is twofold.
Hans Triebel
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A regularized version of the Kuwabara-Kono force scheme for 2nd order convergence in DEM simulations of granular materials [PDF]

EPJ Web of Conferences
The Discrete Element Method is a technique widely used to simulate multi-particle systems, in particular granular materials. For conservative systems, the integration of the equations of motion is often performed via a Verlet-type method of order two ...
Bufolo Gabriel N., Sobral Yuri D.
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Regularization of the inverse Laplace transform by mollification

Inverse Problems
Abstract In this paper we study the inverse Laplace transform. We first derive a new global logarithmic stability estimate that shows that the inversion is severely ill-posed. Then we propose a regularization method to compute the inverse Laplace transform using the concept of mollification.
Pierre Maréchal, Faouzi Triki, Walter C Simo Tao Lee   +2 more
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