Results 91 to 100 of about 789 (216)

An note on the maximization of matrix valued Hankel determinants with application [PDF]

In this note we consider the problem of maximizing the determinant of moment matrices of matrix measures. The maximizing matrix measure can be characterized explicitly by having equal (matrix valued) weights at the zeros of classical (one dimensional ...
Dette, Holger, Studden, W. J.
core  

OPTIMAL QUADRATURE FORMULA WITH DERIVATIVE

International Journal of Applied Mathematics
This article is devoted to the construction of optimal quadrature formulas with derivative in the space of differentiable functions using the Sobolev method. This quadrature formula consists of a linear combination of the values of the interval  up to the second derivative of the function at all nodes.
openaire   +1 more source

CONSTRUCTION OF OPTIMAL QUADRATURE FORMULAS IN SOBOLEV SPACE.

, 2023
In this article, a series of problems related to the creation and application of quadrature and cubature formulas, including: finding errors of quadrature and cubature formulas in the Gilbert phases of differential functions; calculating error functionals of found extremal functions using extremal functions; finding the conditions for the existence and
openaire   +1 more source

Multi‐Goal‐Oriented Anisotropic Error Control and Mesh Adaptivity for Time‐Dependent Convection‐Dominated Problems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT In this work, we present an anisotropic multi‐goal error control based on the dual weighted residual (DWR) method for time‐dependent convection–diffusion–reaction (CDR) equations. Motivated by former work, we combine multiple goals to single error functionals with weights chosen as algorithmic parameters.
Markus Bause, Marius Paul Bruchhäuser, Bernhard Endtmayer, Nils Margenberg, Ioannis Toulopoulos, Thomas Wick   +5 more
wiley   +1 more source

Some Optimal Quadrature Formulas and Error Bounds

, 2012
The corrected quadrature rules are considered and the estimations of error involving the second derivative are given. The numerical examples which provides that the approximation in corrected rule of a optimal quadrature formula in sense Nikolski is ...
Maria Acu, Ana, Babos, Alina
core  

Quantum Information Measures of a Dirichlet Waveguide with Neumann Window(s)

Advanced Quantum Technologies, Volume 9, Issue 6, June 2026.
ABSTRACT Engineering boundary conditions in low‐dimensional structures provides a simple yet powerful way of shaping how quantum information is stored and transported. We investigate a flat 2D Dirichlet waveguide containing one or two finite Neumann windows and compute the bound states in both position and momentum space as functions of the window ...
Firoz Chogle, Berihu Teklu
wiley   +1 more source

Generalized averaged Gaussian quadrature and applications [PDF]

, 2019
A simple numerical method for constructing the optimal generalized averaged Gaussian quadrature formulas will be presented. These formulas exist in many cases in which real positive GaussKronrod formulas do not exist, and can be used as an adequate ...
Spalević, Miodrag
core  

Wasserstein Regression, Forecasting, and Change‐Point Detection for Daily Traffic Flow Distributions

Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 3, June 2026.
ABSTRACT We develop a distribution‐valued framework for modeling, forecasting, and monitoring traffic flow counts by treating each day as a probability distribution summarized by jittered empirical quantile signatures. Inference is conducted under the 2‐Wasserstein geometry, which in one dimension is isometric to the L2(0,1)$$ {L}^2\left(0,1\right ...
Abdolnasser Sadeghkhani
wiley   +1 more source

Rational quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity

, 2010
This paper is concerned with rational Szegő quadrature formulas to approximate integrals of the form I_μ(f)=∫_{-π..π} f(exp(iθ)) dμ(θ) by a formula like I_n(f)= ∑_{k=1..n} λ_k f(z_k) where the weights λ_k are positive and the nodes z_k are carefully ...
Bultheel, Adhemar, Hendriksen, Erik, González-Vera, Pablo, Njåstad, Olav   +3 more
core   +1 more source

Multilevel quadrature formulae for the optimal control of random PDEs

Numerische Mathematik
Abstract This manuscript presents a framework for using multilevel quadrature formulae to compute the solution of optimal control problems constrained by random partial differential equations. Our approach consists in solving a sequence of optimal control problems discretized with different levels of accuracy of the physical and ...
Fabio Nobile, Tommaso Vanzan
openaire   +3 more sources