Abstract The gradient discretisation method (GDM) is a generic framework designed recently, as in spatial space, to partial differential equations. This paper aims use the GDM establish first general error estimate for numerical approximations of parabolic obstacle problems. gives convergence rates several well-known conforming and non-conforming methods. Numerical experiments based on hybrid f...

Sediment transport constantly influences river and civil structures and the lack ofinformation about its exact amount makes management efforts less effective. Hence,achieving a proper procedure to estimate the sediment load in rivers is important. We usedsupport vector machine model to estimate the sediments of the Kakareza River in LorestanProvince and the results were compared with those obta...

here a posteriori error estimate for the numerical solution of nonlinear voltena- hammerstein equations is given. we present an error upper bound for nonlinear voltena-hammastein integral equations, in which the form of nonlinearity is algebraic and develop a posteriori error estimate for the recently proposed method of brunner for these problems (the implicitly linear collocation method).we al...

Numerical simulation of uid ows has received a wide acceptance in the industrial environment in recent years. If the results of simulations are to be used with conndence, it is necessary to provide a measure of their accuracy. The numerical accuracy of a simulation depends on the control of the discretisation error, introduced through the discretisation and numerical solution procedure. Our goa...

We study the current definition of classifier error in XCSF and we discuss the limitations of the algorithm that is currently used to compute classifier error from online experience. We introduce a new definition of classifier error and study the performance of two novel estimation algorithms based on this definition. Our results suggest that the new estimation algorithms can be more robust and...

The Finite Volume method is well adapted to the computation of the solution of pdes which are conservation (or balance) laws, for the reason that it respects the property of conservation of the pde under study. The mathematical analysis of the application of the Finite Volume method to hyperbolic first-order conservation laws can be dated from the mid sixties (see [TS62] for example). Concernin...

This paper deals with the error estimate in problems of periodic homogenization. The methods used are those of the periodic unfolding. We give the upper bound of the distance between the unfolded gradient of a function belonging to H(Ω) and the space ∇xH(Ω)⊕∇yL(Ω;H per(Y )). These distances are obtained thanks to a technical result presented in Theorem 2.3 : the periodic defect of a harmonic fu...