Calculating a class of integrals encountered in theoretical chemistry
Calculating Singular Integrals as an Ill-posed Problem.
Calculation of Gauss Quadratures with Multiple Free and Fixed Knots
Calculation of the Weights of Interpolarory Quadratures
Characteristic functions and -orthogonality properties of Chebyshev polynomials of third and fourth kind.
Characterization of the Speed of Convergence of the Trapezoidal Rule.
Comparison Theorems for Compound Quadrature Formulas.
Computation of Gauss-Kronrod quadrature rules with non-positive weights.
Computation of Poisson type integrals.
Constructive quantization: approximation by empirical measures
In this article, we study the approximation of a probability measure on by its empirical measure interpreted as a random quantization. As error criterion we consider an averaged th moment Wasserstein metric. In the case where , we establish fine upper and lower bounds for the error, ahigh resolution formula. Moreover, we provide a universal estimate based on moments, a Pierce type estimate. In particular, we show that quantization by empirical measures is of optimal order under weak assumptions....
Convergence acceleration by the -algorithm
A new algorithm which generalizes the E-algorithm is presented. It is called the -algorithm. Some results on convergence acceleration for the -algorithm are proved. Some applications are given.
Convolution Quadrature and Discretized Operational Calculus. I.
Convolution Quadrature and Discretized Operational Calculus. II.
Counterexamples in optimal quadrature.
Curriculum vita of Prof. Vasil Atanasov Popov
Our primary goal in this preamble is to highlight the best of Vasil Popov’s mathematical achievements and ideas. V. Popov showed his extraordinary talent for mathematics in his early papers in the (typically Bulgarian) area of approximation in the Hausdorff metric. His results in this area are very well presented in the monograph of his advisor Bl. Sendov, “Hausdorff Approximation”.