Results 51 to 60 of about 6,739 (179)

Spectral Analysis of One Class of Positive-Definite Operators and Their Application in Fractional Calculus

open access: yesMathematics, 2023
This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary-value problems for differential equations of fractional order.
Tatiana Matseevich, Temirkhan Aleroev
doaj   +1 more source

Accelerating convergence of eigenfunction expansions

open access: yes, 1976
A general procedure is presented for accelerating the convergence of eigenfunction expansions associated with selfadjoint boundary-value problems. The results obtained reduce, in special cases, to certain well-known methods of acceleration, including the
R. D. Riess, J. K. Shaw, L. W. Johnson
core   +1 more source

Eigenfunction distribution for the Rosenzweig-Porter model [PDF]

open access: yes, 2018
The statistical distribution of eigenfunctions for the Rosenzweig-Porter model is derived for the region where eigenfunctions have fractal behaviour. The result is based on simple physical ideas and leads to transparent explicit formulas which agree very
Bogomolny, Eugene   +3 more
core   +1 more source

Mesh Processing Non‐Meshes via Neural Displacement Fields

open access: yesComputer Graphics Forum, EarlyView.
Abstract Mesh processing pipelines are mature, but adapting them to newer non‐mesh surface representations—which enable fast rendering with compact file size—requires costly meshing or transmitting bulky meshes, negating their core benefits for streaming applications.
Yuta Noma   +4 more
wiley   +1 more source

Shape of extremal functions for weighted Sobolev-type inequalities

open access: yesAdvances in Nonlinear Analysis
We study the shape of solutions to certain variational problems in Sobolev spaces with weights that are powers of ∣x∣| x| . In particular, we detect situations when the extremal functions lack symmetry properties such as radial symmetry and antisymmetry.
Brock Friedemann   +3 more
doaj   +1 more source

Non‐Rigid 3D Shape Correspondences: From Foundations to Open Challenges and Opportunities

open access: yesComputer Graphics Forum, EarlyView.
Abstract Estimating correspondences between deformed shape instances is a long‐standing problem in computer graphics; numerous applications, from texture transfer to statistical modelling, rely on recovering an accurate correspondence map. Many methods have thus been proposed to tackle this challenging problem from varying perspectives, depending on ...
A. Zhuravlev   +14 more
wiley   +1 more source

A boundary value problem for the wave equation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
Traditionally, boundary value problems have been studied for elliptic differential equations. The mathematical systems described in these cases turn out to be “well posed”. However, it is also important, both mathematically and physically, to investigate
Nezam Iraniparast
doaj   +1 more source

Selected Payback Statistical Contributions to Matrix/Linear Algebra: Some Counterflowing Conceptualizations

open access: yesStats, 2022
Matrix/linear algebra continues bestowing benefits on theoretical and applied statistics, a practice it began decades ago (re Fisher used the word matrix in a 1941 publication), through a myriad of contributions, from recognition of a suite of matrix ...
Daniel A. Griffith
doaj   +1 more source

Establishing Shape Correspondences: A Survey

open access: yesComputer Graphics Forum, EarlyView.
Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley   +1 more source

Complex Eigenfunction Method for Bending Analysis of Rectangular Plates [PDF]

open access: yes, 1972
The present article will give a Fadle eigenfunction analysis of rectangular plates in flexure by means of complex matrix algebra. Rectangular plates have many structural applications, and their flexural analysis is thus of considerable importance.
TANIMOTO, Bennosuke   +2 more
core   +1 more source

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