Results 61 to 70 of about 550,301 (203)
Laplace–Beltrami operator and exact solutions for branes [PDF]
Nuclear Physics B, 2013 Proposed is a new approach to finding exact solutions of nonlinear $p$-brane equations in $D$-dimensional Minkowski space based on the use of various initial value constraints. It is shown that the constraints $Δ^{(p)}\vec{x}=0$ and $Δ^{(p)}\vec{x}=-Λ(t,σ^r)\vec{x}$ give two sets of exact solutions.
openaire +2 more sources
Accurate and Efficient Data‐Driven Partitioned Scheme for Coupled Heterogeneous Numerical Models
Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT Heterogeneous numerical models (HNMs) combine conventional discretization modules such as finite elements with nonconventional data‐driven and reduced‐order modules. HNMs can improve computational efficiency and enable simulations of multi‐physics systems in which one or more constituent components lack first‐principles descriptions and must ...
Edward Huynh +3 more
wiley +1 more source
The Spectrum of the Laplace-Beltrami Operator on NoncompactManifolds
In this thesis we introduce the Laplace-Beltrami operator on Riemannian manifolds and study its spectrum on noncompact manifolds. For compact connected manifolds it is known that the Laplace-Beltrami operator has a discrete spectrum consisting of real ...
Backman, Elliot
core +3 more sources
International Journal of Mathematics and Mathematical Sciences, 1997 The spectral function Θ(t)=∑i=1∞exp(−tλj), where {λj}j=1∞ are the eigenvalues of the negative Laplace-Beltrami operator −Δ, is studied for a compact Riemannian manifold Ω of dimension k with a smooth boundary ∂Ω, where a finite number of piecewise ...
E. M. E. Zayed
doaj +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
Corrected Laplace–Beltrami Operators for Digital Surfaces
Journal of Mathematical Imaging and VisionzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weill-Duflos, Colin +2 more
openaire +3 more sources
Data driven estimation of Laplace-Beltrami operator
CoRR, 2016 Approximations of Laplace-Beltrami operators on manifolds through graph Lapla-cians have become popular tools in data analysis and machine learning. These discretized operators usually depend on bandwidth parameters whose tuning remains a theoretical and practical problem.
Chazal, Frédéric +2 more
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Estimating the Laplace‐Beltrami Operator by Restricting 3D Functions [PDF]
Computer Graphics Forum, 2009 AbstractWe present a novel approach for computing and solving the Poisson equation over the surface of a mesh. As in previous approaches, we define the Laplace‐Beltrami operator by considering the derivatives of functions defined on the mesh. However, in this work, we explore a choice of functions that is decoupled from the tessellation.
Ming Chuang +4 more
openaire +3 more sources
Bulk‐Surface Coupled PDE With an Open Boundary
Studies in Applied Mathematics, Volume 157, Issue 2, August 2026.ABSTRACT We study a bulk‐surface coupled Laplace system involving an embedded open boundary. The problem is reformulated as an integro‐differential equation using boundary integral representations, for which we establish existence and uniqueness of the solution.
Charles L. Epstein +2 more
wiley +1 more source