Applied Math · Mathematics & Statistics
Numerical Analysis
The newest papers in Numerical Analysis that ReadSearch has read, newest first. Each links to its own page, with its authors, date, where it was published and the original.
285 papers, from 31 August 2026 to 5 November 2026: 212 arXiv preprints and 73 OpenAlex records.
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Newest papers, page 14
The stability conjecture for the Bernoulli problem in dimension four
We prove that every global classical stable solution to the one-phase Bernoulli problem in $\mathbb R^4$ is one-dimensional.A $p$-summability approach to the weak maximizing property
Motivated by the weak maximizing property ($\mathrm{WMP}$), we investigate $p$-summability conditions on maximizing sequences of bounded linear operators.The higher-dimensional Shepp problem: an exact criterion for random ball coverings of tori
We solve the Euclidean-ball case of the higher-dimensional Shepp covering problem.The truncated octahedron minimizes surface area among parallelohedra of equal volume
We prove that the regular truncated octahedron uniquely minimizes surface area among all parallelohedra of fixed volume.Global smooth behavior in Kuznetsov and Westervelt type viscous wave equations: A unifying approach covering $W^{1,q}$-small initial data
In a smoothly bounded domain $\Om\subset\R^n$ with $n\geq 1$ and $a>0$, we consider an initial-boundary value problem for the general viscous wave equation \bas h(u,u_t) u_{tt} = \Del u_t + a\Del u…The critical exponent for the two-dimensional semilinear wave equation with strong damping
In this manuscript, we determine the critical exponent for the two-dimensional semilinear wave equation with strong damping.Maximizing the fundamental Laplace--Neumann eigenvalue on quadrilaterals
We prove that among convex planar quadrilaterals of equal area, the square uniquely maximizes the first nonzero Laplace--Neumann eigenvalue.Projection-based low-rank assembly in IgA
Isogeometric Analysis (IgA) uses the same spline functions to represent the computational domain and to approximate the solution.The Truncated Octahedral Conjecture
Among three-dimensional parallelohedra of fixed volume, the Archimedean truncated octahedron uniquely minimizes surface area, affirming a conjecture of K. Bezdek from 2006.Score-Based Generative Data Assimilation for Integrating Aggregated Surveillance Data into Agent-Based Models in Epidemic Tracking
Reliable epidemic monitoring often requires inferring regional infection burden and transmission heterogeneity from noisy, spatially aggregated, and potentially sparse surveillance data.Symmetry Inheritance and Symmetry-Reduced Finite Element Analysis for Second-Order Linear Elliptic Problems with Robin Boundary Conditions
A symmetry framework is developed for second-order linear elliptic equations subject to Robin boundary conditions on bounded domains.Exit Times for Brownian Motion and Location Detection
In 2023, Wyman and Xi asked ``Can you hear your location on a manifold?'' We pose a related question, asking if probabilistic data can be used to recover location within a manifold.On a pointwise estimate for a weighted rough singular integral operator in stratified Lie groups and applications
In this article, we present a new pointwise estimate for a weighted rough singular integral operator in the setting of stratified Lie groups.Compressed Single-Tone Frequency Estimation With Unknown Complex Gain: Singular Rates and Global Identifiability
Fixed linear compression can preserve local Fisher information for a sinusoid yet destroy global frequency identification, while a dark response can make local estimation nonregular.High frequency wave propagation for the viscoelastic wave equation with singular memory
We study high-frequency propagation for a viscoelastic wave equation with spatially dependent hereditary memory in relative-history form.Parameter-Robust Subspace Correction with Multiple Semidefinite Penalties
Independently weighted semidefinite penalties arise in augmented-Lagrangian and constrained formulations.On (fake) Stationarity in Stochastic Volterra Equations with Affine Drift and Regular Kernels
We investigate the fake stationarity properties of solutions to forward Stochastic Volterra Integral Equations (SVIEs) with affine drift and long-memory (regular) kernels, both on finite horizons…Integral Invariants of Vasudeva Murthy's Relaxation Systems: Analysis and Numerical Validation
Vasudeva Murthy's relaxation approach [A.S.Comment on "Event-Triggered Stabilization of Linear Time-Delay Systems via Halanay-Type Inequality"
This comment revisits Lemma 1 in [1], which plays a central role in the event-triggered stabilization analysis developed therein.Mesh-Uniform Power Stability of Two-Relaxation-Time Vector Lattice Boltzmann Schemes with Reversible Boundaries
We consider the collision-transport operator for vector-valued two-relaxation-time lattice Boltzmann schemes linearized about a uniform rest state.