Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for H-Matrices
Journal of Applied Mathematics, 2014 Based on the methods presented by Song and Yuan (1994), we construct relaxed matrix parallel multisplitting chaotic generalized USAOR-style methods by introducing more relaxed parameters and analyze the convergence of our methods when coefficient ...
Li-Tao Zhang +3 more
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The gradient discretisation method for the chemical reactions of biochemical systems [PDF]
Arab Journal of Mathematical SciencesPurpose – The main purpose of this paper is to introduce the gradient discretisation method (GDM) to a system of reaction diffusion equations subject to non-homogeneous Dirichlet boundary conditions.
Yahya Alnashri, Hasan Alzubaidi
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An efficient numerical approach for fractional diffusion partial differential equations
Alexandria Engineering Journal, 2020 The main purpose of this manuscript is to present a new approximation method to find the numerical solution of partial differential equations with Caputo fractional derivatives. We have also included the stability analysis of the proposed technique.
Behzad Ghanbari, Abdon Atangana
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Vibro-impact of a plate on rigid obstacles: existence theorem, convergence of a scheme and numerical simulations [PDF]
, 2013 The purpose of this paper is to describe a fully discrete approximation and its convergence to the continuum dynamical impact problem for the fourth-order Kirchhoff–Love plate model with nonpenetration Signorini contact condition.
Salaün, Michel +2 more
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The role of numerical integration in numerical homogenization*
ESAIM: Proceedings and Surveys, 2015 Finite elements methods (FEMs) with numerical integration play a central role in numerical homogenization methods for partial differential equations with multiple scales, as the effective data in a homogenization problem can only be ...
Abdulle Assyr
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Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation
Advances in Difference Equations, 2021 Two new iterative methods for the simultaneous determination of all multiple as well as distinct roots of nonlinear polynomial equation are established, using two suitable corrections to achieve a very high computational efficiency as compared to the ...
Mudassir Shams +5 more
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Impact of Accuracy Optimization on the Convergence of Numerical Iterative Methods
, 2015 Among other objectives, rewriting programs serves as a useful technique to improve numerical accuracy. However, this optimization is not intuitive and this is why we switch to automatic transformation techniques. We are interested in the optimization of numerical programs relying on the IEEE754 floating-point arithmetic.
Nasrine Damouche +2 more
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Convergence of a collocation scheme for a retarded potential integral equation [PDF]
, 2003 Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to ...
Duncan, D.B.
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Theoretical and Numerical Analyses of a Quasi-Isotropic Antenna With Almost Everywhere Isotropy
IEEE AccessA fundamental radiation limit for quasi-isotropic antennas is rigorously presented utilizing vector spherical modes within the framework of a mode-matching technique.
Yong Heui Cho, Jae-Yong Kwon
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The Scientific World Journal, 2014 This paper is concerned with the convergence of stochastic θ-methods for stochastic pantograph equations with Poisson-driven jumps of random magnitude.
Hua Yang, Feng Jiang
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