Stochastic comparisons of largest claim amount from heterogeneous and dependent insurance portfolios
This paper investigates the usual stochastic and hazard rate orders between the largest claim amounts from two sets of heterogeneous and dependent insurance portfolios. Sufficient conditions are established in terms of the dependence structure ...
An approximate gradient-type method for nonlinear symmetric equations with convex constraints
Based on the projection operator and the pseudo-monotone property, an approximate gradient-type method is proposed to solve nonlinear symmetric equations with convex constraints. The proposed method does not need any precise gradient or Jacobian ...
A formula to solve Laplace and Fourier Transforms
Among many contributions to science, Pierre-Simon Laplace developed his famous Transform as Jean-Baptiste Joseph Fourier with his very famous Fourier Transform. In this article a method is presented to easily solve the Fourier and Laplace ...
Highlights
- A unique formula to solve Laplace Transform and the inverse.
- This formula can be applicable to solve gamma, normal and other functions.
- This formula can be applicable to solve Fourier Transform and the inverse Transform.
Neural network interpolation operators of multivariate functions
In this paper, we introduce a type of multivariate neural network interpolation operators F n , σ ( f ) activated by some newly defined sigmoidal functions, and give both the direct and the converse results of the approximation by F n , σ ( f ) ...
Sparse subsampling of flow measurements for finite-time Lyapunov exponent in domains with obstacles
We propose an efficient approach to estimate the finite-time Lyapunov exponent (FTLE). Instead of incorporating all available velocity measurements, we develop a sparse subsampling approach to detect relevant flow measurements for velocity ...
Analytic and numeric solutions of moving boundary problems
A numerical method that gives accurate solutions of moving boundary problems that model diffusion of oxygen in a medium which consumes the oxygen is presented. The method is applied to the classic problem with a sealed surface as well as to ...
Coarse-grid selection using simulated annealing
Multilevel techniques are efficient approaches for solving the large linear systems that arise from discretized partial differential equations and other problems. While geometric multigrid requires detailed knowledge about the underlying problem ...
Model order reduction for parameterized electromagnetic problems using matrix decomposition and deep neural networks
A non-intrusive model order reduction (MOR) method for solving parameterized electromagnetic scattering problems is proposed in this paper. A database collecting snapshots of high-fidelity solutions is built by solving the parameterized time-...
Existence and uniqueness of solutions of the equations of quasistatic electroporoelasticity
We study the, fully coupled, equations of quasistatic electroporoelasticity, and show that under a mild condition on the coupling parameter, a condition which is satisfied in practice, the equations of quasistatic electroporoelasticity have a ...
Highlights
- A variational formulation for quasistatic electroporoelasticity is described.
- This is the first mathematically rigorous treatment of these equations.
- Under a condition on the coupling parameter the equations have a unique solution.
The accurate and efficient solutions of linear systems for generalized sign regular matrices with certain signature
In this paper, we consider how to accurately solve the linear system whose coefficient matrix is a generalized sign regular (GSR) matrix with signature ( 1 , … , 1 , − 1 ). A new algorithm with O ( n 2 ) complexity is presented to solve the GSR ...
A new ZNN model for finding discrete time-variant matrix square root: From model design to parameter analysis
In recent years, artificial neural network technology has developed very rapidly. More and more experts and scholars use neural network technology to solve the related problems of applied mathematics. As a representative of the Hopfield neural ...
Magnus integrators for linear and quasilinear delay differential equations
A procedure to numerically integrate non-autonomous linear delay differential equations is presented. It is based on the use of a spectral discretization of the delayed part to transform the original problem into a matrix linear ordinary ...
A non markovian retrial queueing system
This paper studies a discrete-time queueing system in which a customer who enters in the system with a server occupied may choose to go to the retrial group or to begin its service displacing to the retrial group the customer that was in the ...
Consistency results for the dual-wind discontinuous Galerkin method
This paper further analyzes the dual-wind discontinuous Galerkin (DWDG) method for approximating Poisson’s problem by directly examining the relationship between the Laplacian and the underlying discrete Laplacian. DWDG methods are derived from ...
Highlights
- The DWDG approximation to the Poisson’s equation has L 2 projection errors with γ = 0.
- A priori error analysis for the consistency of the DWDG discrete Laplacian operator.
- A priori error analysis for the DWDG Galerkin orthogonal ...
Improved modulus-based matrix splitting iteration methods for quasi-complementarity problems
In this paper, the improved modulus-based matrix splitting iteration methods are proposed to solve the quasi-complementarity problems. It is proved that the proposed iteration methods are convergent under certain conditions by using some new ...
Optimal error analysis of space–time second-order difference scheme for semi-linear non-local Sobolev-type equations with weakly singular kernel
In this paper, we construct and analyze a Crank–Nicolson difference scheme for solving the semilinear Sobolev-type equation with the Riemann–Liouville fractional integral of order α ∈ ( 0 , 1 ). The proposed scheme consists of two main stages. ...