Results 61 to 70 of about 66,959 (230)

Basis Properties of Fučík Eigenfunctions

Analysis Mathematica, 2022
We establish sufficient assumptions on sequences of Fucik eigenvalues of the one-dimensional Laplacian which guarantee that the corresponding Fucik eigenfunctions form a Riesz basis in $L^2(0,π)$.
Baustian, F., Bobkov, V.
openaire   +3 more sources

Interaction Between Vortex‐Induced Vibrations and Base Vibrations in Piezoelectric Harvesters

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT In the present era, powering sensors using green energy is a significant challenge. One promising solution for the power supply of small sensors relies on piezoelectric energy harvesters excited by vortex‐induced vibrations (VIVs) generated by wind.
Michele Tonan, Ilaria Palomba, Alberto Pasetto, Alberto Doria   +3 more
wiley   +1 more source

Eigenfunctions of the Laplacian and associated Ruelle operator

, 2008
Let $\Gamma$ be a co-compact Fuchsian group of isometries on the Poincar\'e disk $\DD$ and $\Delta$ the corresponding hyperbolic Laplace operator. Any smooth eigenfunction $f$ of $\Delta$, equivariant by $\Gamma$ with real eigenvalue $\lambda=-s(1-s ...
A O Lopes, Bedford T, Bekka M, Bogomolny E B Carioli M, Helgason S, Helgason S, Iwaniec H, Ph Thieullen   +7 more
core   +1 more source

A Nonhomogeneous Eigenfunction Expansion [PDF]

Transactions of the American Mathematical Society, 1965
Non-selfadjoint expressions of the form ly = y" + q(x)y have begun to be studied extensively in the past few years, and in two instances Naimark [4] (on the interval [0, oo)) and Kemp [3] (on the interval (oo, oo)) have achieved expansions in terms of eigenfunctions of 1.
openaire   +1 more source

2D Piecewise Linear Scalar Fields with Invertible Integral Lines

Computer Graphics Forum, EarlyView.
Abstract Integral lines of the gradient flow are standard features in continuously differentiable scalar fields that enjoy some useful properties: They cover the domain densely, do not split, merge, or intersect, and are therefore invertible. For widely used discretizations of scalar fields, the corresponding polygonal approximations of integral lines ...
T.L. Erxleben, M. Motejat, C. Rössl, H. Theisel   +3 more
wiley   +1 more source

Mesh Processing Non‐Meshes via Neural Displacement Fields

Computer 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, Zhecheng Wang, Chenxi Liu, Karan Singh, Alec Jacobson   +4 more
wiley   +1 more source

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

Computer 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, L. Bastian, D. Cao, N. El Amrani, P. Roetzer, V. Ehm, R. Marin, H. Nishizawa, S. Morishima, C. Theobalt, N. Navab, D. Cremers, F. Bernard, Z. Lähner, V. Golyanik   +14 more
wiley   +1 more source

Establishing Shape Correspondences: A Survey

Computer 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

Estimates for the ratio of the first two eigenvalues of the Dirichlet-Laplace operator with a drift [PDF]

Contributions to Mathematics, 2021
Serban Barbuleanu, Mihai Mihailescu, Denisa Stancu-Dumitru   +2 more
doaj   +1 more source

Optimal Portfolio Choice With Cross‐Impact Propagators

Mathematical Finance, EarlyView.
ABSTRACT We consider a class of optimal portfolio choice problems in continuous time where the agent's transactions create both transient cross‐impact driven by a matrix‐valued Volterra propagator, as well as temporary price impact. We formulate this problem as the maximization of a revenue‐risk functional, where the agent also exploits available ...
Eduardo Abi Jaber, Eyal Neuman, Sturmius Tuschmann   +2 more
wiley   +1 more source