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 12
Uniqueness of free boundary minimal annuli
We prove that every smooth properly embedded free-boundary minimal annulus in the unit ball is congruent to the critical catenoid.Learning to Solve Stochastic Controls with Unknown Drifts and Running Rewards: Theory, Algorithms and Convergence
We study continuous-time and possibly high-dimensional stochastic control problems where drift coefficients and running reward functions are unknown.Physics Informed Random Feature Neural Networks for Solving PDEs
Machine learning-based partial differential equations (PDEs) solvers have attracted significant attention in recent years.Stability-Constrained Approximation in Spline KANs: Exact Layer Balancing and Budget-Compatible Saturation
Deep spline superposition networks face a tension between approximation order and stability across depth.Kusner's conjecture is false for $p>4$
An equilateral set is a set of points in a metric space whose pairwise distances are all equal.Convergence of the Sinkhorn Riemannian metric for finitely supported measures
The Sinkhorn Riemannian metric characterizes the local behavior of the Sinkhorn divergence, a debiased version of entropy-regularized optimal transport.Stability of non-isentropic gaseous stars
We study the linear stability of compactly supported static spherical equilibria of the non-isentropic Euler--Poisson system.Resolution-Independent Analysis of Encoder--Decoder Operator Learning via Limiting Kernels
Operator learning is formulated on function spaces, but training data are typically available only through finite-dimensional representations.Inference for Newton Methods with Accelerated Sketch-and-Project via Random Scaling
We study an online sketched Newton method that approximates the Newton direction at each step via a state-of-the-art sketching solver, called the generalized accelerated sketch-and-project solver…Quantile-based Loss Filtering for Outlier-Robust Stochastic Gradient Descent
We study loss-based filtering for finite-sum optimization with a subset of corrupted component functions whose gradients may be highly unreliable.A variational physics-informed graph neural network for heterogeneous solid mechanics
Stress localization in heterogeneous solids is governed by the bimaterial interface, where the displacement field remains $C^0$-continuous, while in-plane stresses jump due to the stiffness mismatch.Deep operator learning for efficient sampling from invariant measures of stochastic differential equations
We introduce an amortized neural sampler that combines operator learning with flow methods for sampling.Learning Interaction Kernels from Collective Steady States
We propose a learning procedure for system identification in interacting particle systems from single-snapshot observations of collective behaviors, unlike existing approaches that rely on…Control of 1D first-order linear hyperbolic systems: a brief survey
At the occasion of the 70th birthday anniversary of Jean-Michel Coron, we review the literature on the control of 1D first-order linear hyperbolic systems, a topic where he has made significant…Riesz capacity ratios with negative exponents
We investigate sharp inequalities for ratios of Riesz capacities with negative exponents by combining computational experiments with rigorous analysis.Near-Gaussian counterexamples to the Ball-Nayar-Tkocz entropy concavity conjecture
The Ball-Nayar-Tkocz conjecture asserts that, for independent real random variables $X,Y$ with a common log-concave density, the function $t\mapsto h(\sqrt tX+\sqrt{1-t}Y)$ is concave on $[0,1]$.Optimal regularity for vectorial, higher order and non-minimizing Bernoulli problems
We prove the Lipschitz regularity of solutions for a wide class of generalized Bernoulli free boundary problems, in vectorial, higher order, and non-minimizing settings.A practical DIRECT-type algorithm for medium-scale black-box global optimization
The DIRECT algorithm is a deterministic global optimization method known for its versatility and balanced exploration-exploitation strategy.Explicit Full-Spark Gabor Windows with Quantitative Phase Retrieval
We construct explicit algebraic finite Gabor windows that are simultaneously full spark and phase retrievable, with quantitative control of the self-ambiguity function.Invariant domain preservation for hybrid point-value and cell-average discretizations of hyperbolic equations on general meshes
This paper presents a unified invariant-domain-preserving (IDP) framework for hybrid discretizations of hyperbolic conservation laws, including active flux and PAMPA methods, in which cell averages…