Add to ORKGBased on a regularized Volterra equation, two different approaches for numerical differ-entiation are considered. The first approach consists of solving a regularized Volterra equation while the second approach is based on solving a disretized version of the regularized Volterra equation. Numerical experiments show that these methods are efficient and compete favorably with the variational regularization method for stable calculating the derivatives of noisy functions
Many mathematical models arising in science and engineering, including circuit and device simulation...
AbstractThis paper mainly studies the numerical differentiation by integration method proposed first...
In this paper, we consider numerical differentiation of bivariate functions when a set of noisy data...
AbstractA method for stable numerical differentiation of noisy data is proposed. The method requires...
Abstract. We propose a regularized optimization problem for computing numerical differentiation for ...
AbstractA regularized optimization problem for computing numerical differentiation for the second or...
We propose a regularized optimization problem for computing numerical di®erentiation for the second ...
AbstractIn this paper, we use smoothing splines to deal with numerical differentiation. Some heurist...
Abstract. First-kind Volterra problems arise in numerous applications, from inverse problems in math...
AbstractThe method of numerical differentiation by discrete mollification is presented in a fully di...
Abstract. Finite difference methods, such as the mid-point rule, have been applied successfully to t...
Abstract. We survey continuous and discrete regularization methods for first-kind Volterra problems ...
Many scientific and engineering investigations require the extraction of the first derivative from e...
AbstractIn this paper we consider the numerical differentiation of functions specified by noisy data...
AbstractThe computation of Caputo's fractional derivatives in the presence of measured data is consi...
Many mathematical models arising in science and engineering, including circuit and device simulation...
AbstractThis paper mainly studies the numerical differentiation by integration method proposed first...
In this paper, we consider numerical differentiation of bivariate functions when a set of noisy data...
AbstractA method for stable numerical differentiation of noisy data is proposed. The method requires...
Abstract. We propose a regularized optimization problem for computing numerical differentiation for ...
AbstractA regularized optimization problem for computing numerical differentiation for the second or...
We propose a regularized optimization problem for computing numerical di®erentiation for the second ...
AbstractIn this paper, we use smoothing splines to deal with numerical differentiation. Some heurist...
Abstract. First-kind Volterra problems arise in numerous applications, from inverse problems in math...
AbstractThe method of numerical differentiation by discrete mollification is presented in a fully di...
Abstract. Finite difference methods, such as the mid-point rule, have been applied successfully to t...
Abstract. We survey continuous and discrete regularization methods for first-kind Volterra problems ...
Many scientific and engineering investigations require the extraction of the first derivative from e...
AbstractIn this paper we consider the numerical differentiation of functions specified by noisy data...
AbstractThe computation of Caputo's fractional derivatives in the presence of measured data is consi...
Many mathematical models arising in science and engineering, including circuit and device simulation...
AbstractThis paper mainly studies the numerical differentiation by integration method proposed first...
In this paper, we consider numerical differentiation of bivariate functions when a set of noisy data...