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1525 papers in math.NA · page 21
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Closed-loop tests yield first bit-accurate models for ten GPU matrix units
Bit-Accurate Modeling of GPU Matrix Multiply-Accumulate Units: Demystifying Numerical Discrepancy and Accuracy
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Neural net learns ice viscosity laws from data
Learning parameter-dependent shear viscosity from data, with application to sea and land ice
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Feedback predictions steer magnetized plasma in polar coordinates
Control strategies for magnetized plasma: a polar coordinates framework
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Kaczmarz batch methods gain scale-invariant convergence bounds
Randomized batch-sampling Kaczmarz methods for solving linear systems
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IMEX schemes stay stable for PNP system at any Debye length
Standard versus Asymptotic Preserving Time Discretizations for the Poisson-Nernst-Planck System in the Quasi-Neutral Limit
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Greedy packing bounds mesh ratio to 2 on any triangle
Constructive quasi-uniform sequences over triangles
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Deep filter succeeds in 100D Lorenz-96 where particle filters fail
High-dimensional Bayesian filtering through deep density approximation
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Explicit formulas recover fractional parameters from nonlocal data
Regularized Reconstruction of Scalar Parameters in Subdiffusion with Memory via a Nonlocal Observation
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Reformulated LDG scheme keeps conversion models positive and bounded
Structure-preserving local discontinuous Galerkin discretization of conformational conversion systems
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Column selection criteria are NP-hard for small subsets
Many (most?) column subset selection criteria are NP hard for a few columns
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Sketching matches in-situ compression to offline performance
In Situ Training of Implicit Neural Compressors for Scientific Simulations via Sketch-Based Regularization
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Block-shifted CR solves equations with repeated unit eigenvalues
A Block-Shifted Cyclic Reduction Algorithm for Solving a Class of Quadratic Matrix Equations
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Graph subspaces reach arccos(1/sqrt n) min deviation from coordinates
About subspaces the most deviating from the coordinate ones
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Shared variables link ptychography and fluorescence for sharper X-ray maps
A Joint Variational Framework for Multimodal X-ray Ptychography and Fluorescence Reconstruction
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QMC yields dimension-free convergence for flux quantities in parametric finite elements
Sufficient conditions for QMC analysis of finite elements for parametric differential equations
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Execution flow shown as primary driver of market prices
Trade Execution Flow as the Underlying Source of Market Dynamics
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Search direction yields sublinear regret in online bilevel optimization
Stochastic Regret Guarantees for Online Zeroth- and First-Order Bilevel Optimization
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Non-iterative split solves acoustic waves with DG
A non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations for acoustic wave equations
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Stokes matrices localize spectrally under weak viscosity assumptions
Spectral analysis of the stiffness matrix sequence in the approximated Stokes equation
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Random-walk polynomials approximate z^n at degree sqrt(n)
Random Walks, Faber Polynomials and Accelerated Power Methods
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KANs give Kolmogorov-inspired structure as alternative to MLPs
A Practitioner's Guide to Kolmogorov-Arnold Networks
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Adaptive sampling sharpens PINN capture of phase interfaces
Auto-Adaptive PINNs with Applications to Phase Transitions
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Finite difference methods with layers reach sixth-order accuracy for acoustic scattering
An Efficient Finite Difference-Based PML Technique for Acoustic Scattering Problems
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Low-precision scheme halves memory for Neural ODE training
Mixed Precision Training of Neural ODEs
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Filter speeds eigenvalue dataset generation 3.5x
Accelerating Eigenvalue Dataset Generation via Chebyshev Subspace Filter
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FFT precomputation speeds turbulence reconstruction for ELT
Singular Value-based Atmospheric Tomography with Fourier Domain Regularization (SAFR)
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Fair spectral clustering runs twice as fast with new Laplacian choices
Alternatives to the Laplacian for Scalable Spectral Clustering with Group Fairness Constraints
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Spectral radius sets adaptive hyperviscosity for RBF-FD
Adaptive hyperviscosity stabilisation for the RBF-FD method in solving advection-dominated transport equations
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Orthogonalization step enables power-method tensor decomposition
Multi-subspace power method for decomposing partially symmetric tensors
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Fitting MD trajectories to diffusion equation estimates argon-helium coefficient
Estimation of a Gas Diffusion Coefficient by Fitting Molecular Dynamics Trajectories to Finite-Difference Simulations
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Cholesky beats square root for Hermitian pencil matrix functions
Computing matrix functions associated with a Hermitian--definite pencil
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Multilayer level sets recover multiple interfaces in tomography
A multilayer level-set method for eikonal-based traveltime tomography
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Multi-agent control steers colors to segment images
Agent-Based Optimal Control for Image Processing
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Stokes mixed FEM superconverges via div-free transfer property
Superconvergent and Divergence-Free Mixed Finite Element Methods for The Stokes Equation
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Point-cloud charts solve Hele-Shaw flows with proven accuracy
Geometric local parameterization for solving Hele-Shaw problems with surface tension
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Neural particles speed up 3D chemotaxis simulations
An Efficient Particle-Field Algorithm with Neural Interpolation based on a Parabolic-Hyperbolic Chemotaxis System in 3D
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Integer values enable unique recovery from minimal DFT measurements
Recovery of Integer Images from Minimal DFT Measurements: Uniqueness and Inversion Algorithms
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Galerkin approximations converge for the Lindblad master equation
Convergence Analysis of Galerkin Approximations for the Lindblad Master Equation
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ML models measure tariff effects on Australian stocks
USA Tariffs Effect: Machine Learning Insights into the Stock Market
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Damped systems solve Stiefel manifold optimization
Linear Algebra Problems Solved by Using Damped Dynamical Systems on the Stiefel Manifold
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Multilevel hybrids cut transport cost as variance falls faster than sampling cost
Multi-Level Hybrid Monte Carlo / Deterministic Methods for Particle Transport Problems
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Enriched corrections restore higher-order LOD rates for parabolic multiscale problems
Optimal higher-order convergence rates for parabolic multiscale problems
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New acquisition functions guide Bayesian quadrature integration
Bayesian Active Learning for Bayesian Model Updating: the Art of Acquisition Functions and Beyond
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First-principles kinematics plus derived GRU predict well paths
A Geomechanically-Informed Framework for Wellbore Trajectory Prediction: Integrating First-Principles Kinematics with a Rigorous Derivation of Gated Recurrent Networks
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Time-causal wavelets decompose signals using only past data
Time-causal and time-recursive wavelets
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Nonsymmetric Nitsche method reaches optimal L2 accuracy in 2D
Optimal $L^2$-error estimates for the nonsymmetric Nitsche method in two dimensions
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Power transforms gain numerical stability and federated extensions
Power Transform Revisited: Numerically Stable, and Federated
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Adaptive ROF model cuts staircasing in denoised images
Adaptive double-phase Rudin--Osher--Fatemi denoising model
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Environment data trims LoRaWAN fade margin to 25.73 dB
Environment-Aware Indoor LoRaWAN Path Loss: Parametric Regression Comparisons, Shadow Fading, and Calibrated Fade Margins
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Transformers emerge from discretizing integro-differential equations
A Mathematical Explanation of Transformers