Search
Search Results
-
Improved Relative Volume Comparison for Integral Ricci Curvature and Applications to Volume Entropy
We give several Bishop–Gromov relative volume comparisons with integral Ricci curvature which improve the results in Petersen and Wei (Geom Funct...
-
Total Variation Error Bounds for the Approximation of the Invariant Distribution of Parabolic Semilinear SPDEs Using the Standard Euler Scheme
We study the long time behavior of the standard linear implicit Euler scheme for the discretization of a class of erdogic parabolic semilinear SPDEs...
-
Volume-preserving right-handed vector fields are conformally Reeb
Right-handed and Reeb vector fields are two rich classes of vector fields on closed, oriented three-manifolds. Prior work of Dehornoy and...
-
Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torus
We prove that, in the flat torus and in any dimension, the volume-preserving mean curvature flow and the surface diffusion flow, starting
... -
Lower Bounds for High Derivatives of Smooth Functions With Given Zeros
Let \(f: B^n \rightarrow {\mathbb R}\) be a...
-
On Finite Volume Methods for a Navier–Stokes Variational Inequality
Finite volume methods are introduced to solve a class of variational inequality of the second kind, which is governed by the incompressible...
-
-
Sufficient Conditions and Bounds Estimate of Blow-Up Time for a Fourth Order Parabolic Equation
In this paper, we consider a fourth order parabolic equation with heat source function and homogeneous boundary conditions. We establish some...
-
-
-
Lower bounds for the infimum of the spectrum of the Schrödinger operator for non-confining systems in genuinely two-dimensional spaces
This work revolves around spectral inequalities and their applications in quantum mechanics. We analyze the Schrödinger operator in two dimensions...
-
On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere
In this paper, we give pointwise estimates of a Voronoï-based finite volume approximation of the Laplace-Beltrami operator on Voronoï-Delaunay...
-
A positivity-preserving edge-centred finite volume scheme for heterogeneous and anisotropic diffusion problems on polygonal meshes
In many application problems such as the electromagnetics, the unknowns are usually defined at the edges to satisfy the continuity requirement. This...
-
Convergence of Chandrashekar’s Second-Derivative Finite-Volume Approximation
We consider a slightly modified local finite-volume approximation of the Laplacian operator originally proposed by Chandrashekar (Int J Adv Eng Sci...
-
Nonlinear Finite Volume Method for the Interface Advection-Compression Problem on Unstructured Adaptive Meshes
AbstractThe paper is devoted to the nonlinear finite volume method applied for tracking interfaces on unstructured adaptive meshes. The fluid of...
