Showing 1 - 10 of 30
Mathematical model of vertical electrical sounding by using resistivity method is studied. The model leads to an inverse problem of determination of the unknown leading coefficient (conductivity) of the elliptic equation in R2 in a slab. The direct problem is obtained in the form of mixed BVP in...
Persistent link: https://www.econbiz.de/10010870460
This paper deals with the construction of reliable numerical solutions of mixed problems for hyperbolic second order partial differential models with random information in the variable coefficients of the partial differential equation and in the initial data. Using random difference schemes a...
Persistent link: https://www.econbiz.de/10011050179
Avascular tumor growth model for multicellular spheroids is considered. The model is a moving boundary problem and consists of three types of cells. The governing equations are nonlinear hyperbolic and/or parabolic differential equations. Comparisons of the numerical solutions with the solution...
Persistent link: https://www.econbiz.de/10011050743
In this paper we construct and develop two competitive implicit finite difference scheme for a deterministic mathematical model associated with the evolution of influenza A disease in human population. Qualitative dynamics of the model is determined by the basic reproduction number, R0....
Persistent link: https://www.econbiz.de/10011050753
This paper presents a discrete numerical method for computing mean square approximations of random diffusion models. Mean square consistency of the random difference scheme is established. Sufficient conditions for the mean square stability of the proposed numerical solution are given.
Persistent link: https://www.econbiz.de/10011050943
An important problem of collective non-ruin is the estimation of the probabilities R(z,t) and R(z) of the finite and ultimate non-ruin, respectively, where t is time and z the initial reserve. The governing equations are first-order Volterra integro-differential equations, partial (PVIDEs) in...
Persistent link: https://www.econbiz.de/10010749453
Nowadays, Monte Carlo techniques are very common for the development of Nuclear Medicine systems. Simulations can be very helpful for the optimization of SPECT and PET cameras, and for investigating the importance of several physical effects involved in image formation. In this paper, a...
Persistent link: https://www.econbiz.de/10010870042
Although the impact of structural breaks on testing for unit root has been studied extensively for univariate time-series, such impact on panel data unit root tests is still relatively unknown. A major issue is the choice of model in accommodating different types of break prior to testing for...
Persistent link: https://www.econbiz.de/10010870332
Monte Carlo (MC) linear solvers can be considered stochastic realizations of deterministic stationary iterative processes. That is, they estimate the result of a stationary iterative technique for solving linear systems. There are typically two sources of errors: (i) those from the underlying...
Persistent link: https://www.econbiz.de/10010870635
Water management, in a variety of contexts and objectives, is a very important issue gaining increasing attention worldwide. In some places and during some periods, this is due to the scarcity of the water resource, and increasing competition for its use. In some others, it can be risk reduction...
Persistent link: https://www.econbiz.de/10010870735