About an intermediate point property in some quadrature formulas.
About Fejér's sum.
About the geometry of milling paths.
Acceleration of convergence of a two-level algebraic algorithm by aggregation in smoothing process
A two-level algebraic algorithm is introduced and its convergence is proved. The restriction as well as prolongation operators are defined with the help of aggregation classes. Moreover, a particular smoothing operator is defined in an analogical way to accelarate the convergence of the algorithm. A model example is presented in conclusion.
Acceleration of Le Bail fitting method on parallel platforms
Le Bail fitting method is procedure used in the applied crystallography mainly during the crystal structure determination. As in many other applications, there is a need for a great performance and short execution time. In this paper, we describe utilization of parallel computing for mathematical operations used in Le Bail fitting. We present an algorithm implementing this method with highlighted possible approaches to its aforementioned parallelization. Then, we propose a sample parallel version...
Accurate and online-efficient evaluation of the a posteriori error bound in the reduced basis method
The reduced basis method is a model reduction technique yielding substantial savings of computational time when a solution to a parametrized equation has to be computed for many values of the parameter. Certification of the approximation is possible by means of an a posteriori error bound. Under appropriate assumptions, this error bound is computed with an algorithm of complexity independent of the size of the full problem. In practice, the evaluation of the error bound can become very sensitive...
Adaptive methods of numerical quadrature [Abstract of thesis]
Ajustement spline le long d'un ensemble de courbes
Algorithm 1. Elliptic integrals of the second and third kinds
Algorithm 12. Minimum of a function of one variable
Algorithm 43. Evaluation of an improper integral on a finite interval
Algorithm 46. Determination of an interpolating quadratic spline function
Algorithm 50. Joining of Chebyshev series
Algorithm 65. Determination of the solution of an Abel integral equation
Algorithm for the Gröbner region of a principal ideal.
Algorithms. 49. PIECE LIN REGR. An algorithm for fitting discontinuous multiphase linear least-square regression
Algorithms 52-53. Determination of an interpolating quintic spline function with equally spaced and double knots
Algorithms 73-76. Four algorithms for evaluation of improper integrals
Algorithms for cardinal interpolation using box splines and radial basis functions.
Algorithms for Computing Shape Preserving Spline Approximations to Data.