Stability and covergence properties of Bergman Kernel methods for numerical conformal mapping [PDF]
In this paper we study the stability and convergence properties of Bergman kernel methods, for the numerical conform al mapping of simply and doubly- connected domains.
Warby, M K, Papamichael, N
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Convergence rate of numerical solutions to SFDEs with jumps [PDF]
In this paper, we are interested in numerical solutions of stochastic functional differential equations with jumps. Under a global Lipschitz condition, we show that the pth-moment convergence of Euler–Maruyama numerical solutions to stochastic functional
Yuan, Chenggui +3 more
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Survey on the Numerical Methods for ODE's Using the Sequence of Successive Approximations [PDF]
Here we present the error estimations in the numerical methods for Cauchy problems corresponding to ODE’s, which use the sequence of successive approximations and quadrature rules such as trapezoidal rule and perturbed trapezoidal ...
Bica, Alexandru Mihai
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Approximation methods for hybrid diffusion systems with state-dependent switching processes : numerical algorithms and existence and uniqueness of solutions [PDF]
By focusing on hybrid diffusions in which continuous dynamics and discrete events coexist, this work is concerned with approximation of solutions for hybrid stochastic differential equations with a state-dependent switching process.
Yuan, Chenggui +3 more
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In this research article, we propose efficient numerical iterative methods for estimating roots of interval-valued trapezoidal fuzzy nonlinear equations. Convergence analysis proves that the order of convergence of numerical schemes is 3.
Ahmed Elmoasry +5 more
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Numerical Investigation on Convergence Rate of Singular Boundary Method [PDF]
The singular boundary method (SBM) is a recent boundary-type collocation scheme with the merits of being free of mesh and integration, mathematically simple, and easy-to-program. Its essential technique is to introduce the concept of the source intensity factors to eliminate the singularities of fundamental solutions upon the coincidence of source and ...
Junpu Li, Wen Chen, Zhuojia Fu
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The convergence of a numerical method for total variation flow [PDF]
We present a convergence analysis for a finite difference scheme for the time dependent partial different equation called gradient flow associated with the Rudin-Osher-Fetami model. We devise an iterative algorithm to compute the solution of the finite difference scheme and prove the convergence of the iterative algorithm.
Qianying Hong +2 more
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Trusses Nonlinear Problems Solution with Numerical Methods of Cubic Convergence Order
A large part of the numerical procedures for obtaining the equilibrium path or load-displacement curve of structural problems with nonlinear behavior is based on the Newton-Raphson iterative scheme, to which is coupled the path-following methods.
Luiz Antonio Farani de Souza +4 more
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The Mathematical Modelling of Heat Transfer in Electrical Cables
This paper describes a mathematical modelling approach for heat transfer calculations in underground high voltage and middle voltage electrical power cables. First of the all typical layout of the cable in the sand or soil is described.
Bugajev Andrej +2 more
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A convergent numerical method for the Navier–Stokes–Fourier system [PDF]
We propose a numerical method for solving the full Navier–Stokes–Fourier system describing the evolution of a compressible, viscous and heat conducting fluid. We use the finite volume method for approximating the convective terms, while the finite element method based on the Crouzeix–Raviart finite elements is used to approximate the viscous stress ...
Eduard Feireisl +2 more
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