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The Method of Averaging and Domains of Stability for Integral Manifolds

SIAM Journal on Applied Mathematics, 1975
Liapunov’s direct method is a standard and effective approach to computing the domain of stability (or region of attraction) of an autonomous ordinary differential equation. In this paper the author investigates domains of stability of integral manifolds of solutions generated by nonlinear mechanical and electrical oscillatory systems with many degrees
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On a method of Atkinson for evaluating domain integrals in the boundary element method

Applied Mathematics and Computation, 1994
This paper applies a technique of \textit{K. E. Atkinson} [IMA J. Numer. Anal. 5, 319-338 (1985; Zbl 0576.65114)] to boundary integral methods for the Poisson equation. One limitation of boundary integral methods is that for inhomogeneous problems the source term produces an integral over the entire domain.
Golberg, Michael A., Chen, C. S.
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The radial integration method for evaluation of domain integrals with boundary-only discretization

Engineering Analysis with Boundary Elements, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Preconditioned conjugate gradient methods for boundary-domain integral method

Engineering Analysis with Boundary Elements, 1993
Abstract The paper deals with the iterative solution of systems of linear equations arising in viscous flow computation by the boundary-domain integral method (BDIM) with the subdomain technique. Three versions of conjugate gradient method — the bi-conjugate gradient method (bi-CG), conjugate gradients squared (CGS) and its variant bi-CGSTAB - are ...
Matjaž Hriberšek   +2 more
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Semantic data integration methods for chemical domain

2018 13th IEEE Conference on Industrial Electronics and Applications (ICIEA), 2018
There is a huge amount of chemical data in the Web. Collecting those data and realizing the integration of their structured and semantic[1] data are one of the important issues in chemical domain. Traditional search engines in chemical domain provide some basic functionalities such as ranking with the support of some simple queries, Search results ...
Chen Yang, Fangfang Xu
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Extension of Integrated Force Method into Stochastic Domain

International Journal for Computational Methods in Engineering Science and Mechanics, 2009
The Integrated Force Method (IFM) commonly used for deterministic analysis of structures has been extended into the stochastic domain. The perturbation method is used for stochastic analysis of IFM. The expressions developed for responses in IFM were programmed in both the symbolic Maple V and FORTRAN 90 codes.
X. F. Wei   +3 more
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Efficient integration method for fictitious domain approaches

Computational Mechanics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Duczek, Sascha, Gabbert, Ulrich
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A fast multipole method accelerated adaptive background cell-based domain integration method for evaluation of domain integrals in 3D boundary element method

Engineering Analysis with Boundary Elements, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhou, Wei   +3 more
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Stochastic Boundary-Domain Integral Method for heat transfer simulations

2019 4th International Conference on Smart and Sustainable Technologies (SpliTech), 2019
In this paper we couple a numerical method aimed at simulation of flow and heat transfer of nanofluids with stochastic modelling of input and material parameters. A fast Boundary- Domain Integral Method has been developed to solve the governing equations and set up the deterministic flow and heat transfer solver. Furthermore, the Stochastic Collocation
Ravnik, Jure   +4 more
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Treatment of domain integrals in boundary element methods

Applied Numerical Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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