Results 61 to 70 of about 23,143 (202)
Two dimensional symmetric and antisymmetric generalizations of sine functions
Properties of 2-dimensional generalizations of sine functions that are symmetric or antisymmetric with respect to permutation of their two variables are described.
Britanak V. +6 more
core +1 more source
Interpolation by algebraic and trigonometric polynomials [PDF]
The problem to be examined here is that of determining an algebraic or trigonometric polynomial of minimal degree exactly satisfying given constraints. The constraints to be considered are of the following forms: (A) Ordinates are specified at given distinct abscissas, (B) Slopes are specified at some or all of the points where the ordinates are ...
openaire +1 more source
Interpolated Adaptive Linear Reduced Order Modeling for Deformation Dynamics
Abstract Linear reduced‐order modeling (ROM) is widely used for efficient simulation of deformation dynamics, but its accuracy is often limited by the fixed linearization of the reduced mapping. We propose a new adaptive strategy for linear ROM that allows the reduced mapping to vary dynamically in response to the evolving deformation state ...
Y. Tao, M. Chiaramonte, P. Fernandez
wiley +1 more source
The Accuracy Smoothness Dilemma in Prediction: A Novel Multivariate M‐SSA Forecast Approach
ABSTRACT Forecasting presents a complex estimation challenge, as it involves balancing multiple, often conflicting, priorities and objectives. Conventional forecast optimization methods typically emphasize a single metric, such as minimizing the mean squared error (MSE), which may neglect other crucial aspects of predictive performance. To address this
Marc Wildi
wiley +1 more source
Quantitative asymptotics for polynomial patterns in the primes
Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen +2 more
wiley +1 more source
POSITIVE DEFINITE FUNCTIONS AND SHARP INEQUALITIES FOR PERIODIC FUNCTIONS
Let \(\varphi\) be a positive definite and continuous function on \(\mathbb{R}\), and let \(\mu\) be the corresponding Bochner measure. For fixed \(\varepsilon,\tau\in\mathbb{R}\), \(\varepsilon\ne 0\), we consider a linear operator \(A_{\varepsilon,\tau}
Viktor P. Zastavnyi
doaj +1 more source
Stability Calculation of the Plane Steel Frame Structures Using Tangent Modulus Theory
This paper considers the phenomenon of the instability of steel plane frame structures in the elastic–plastic domain. The numerical analysis uses finite element method, where the corresponding stiffness matrices are based upon the trigonometric and ...
Stanko Ćorić, Zoran Perović
doaj +1 more source
An Algebraic Perspective on Multivariate Tight Wavelet Frames. II
Continuing our recent work we study polynomial masks of multivariate tight wavelet frames from two additional and complementary points of view: convexity and system theory.
Charina, Maria +3 more
core +1 more source
We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
wiley +1 more source
AN ATTITUDE MODELLING METHOD BASED ON THE INHERENT FREQUENCY OF A SATELLITE PLATFORM [PDF]
The accuracy of attitude determination plays a key role in the improvement of surveying and mapping accuracy for high-resolution remote-sensing satellites, and it is a bottleneck in large-scale satellite topographical mapping.
F. Mo, X. Tang, J. Xie, C. Yan
doaj +1 more source

