archive
Every paper Pith has read. Search by title, abstract, or pith.
1525 papers in math.NA · page 14
-
Hybrid High-Order scheme achieves asymptotic gauge invariance for magnetic Schrödinger
Asymptotic gauge-invariant Hybrid High-Order method for magnetic Schr\"odinger equations
-
The paper describes a recursive delete/zero algorithm that builds a binary tree of…
Recursive determinantal framework for testing D-stability. I
-
The paper proposes Theta-regularized Kriging
Theta-regularized Kriging: Modelling and Algorithms
-
Discrete weak forms train neural nets to solve Stokes equations
Python library supporting Discrete Variational Formulations and training solutions with Collocation-based Robust Variational Physics Informed Neural Networks (DVF-CRVPINN)
-
Error-function smoothing regularizes hypersingular Helmholtz operators at high order
High-order kernel regularization of singular and hypersingular Helmholtz boundary integral operators
-
Finite element method finds scattering resonances without spurious modes
Spurious-mode-free finite element method for scattering resonances in transmission problems
-
Low-cost smooth stages keep DIRK methods high-order accurate
Smooth perturbations of diagonally implicit Runge--Kutta methods
-
Column exchanges accelerate greedy matrix subset selection
Subset selection for matrices by column exchange
-
Range functions reach cubic and quartic convergence via interpolation
Bivariate range functions with superior convergence order
-
Block GTH algorithm matches RG-factorization on censored chains
GTH Algorithm, Censored Markov Chains, and $RG$-Factorization in Block-Form
-
Flux-corrected transport preserves bounds in Richards' equation
Bound-Preserving Flux-Corrected Transport Methods for Solving Richards' Equation
-
Equality criterion identifies optimal submatrix inverses for two-column matrices
Submatrices with the best-bounded inverses: the equality criterion for $\mathbb{R}^{n \times 2}$
-
Realism discriminator adapts sleep scorers to noisy signals
Unsupervised domain transfer: Overcoming signal degradation in sleep monitoring by increasing scoring realism
-
Error estimates connect mixed-dimensional and equidimensional models
Approximation properties of double complexes
-
Higher-order dual cells solve Maxwell equations without spurious modes
A higher-order dual cell method for time-domain Maxwell equations
-
Schwarz method finds interior eigenvalue clusters mesh-independently
A Two-Level Additive Schwarz Method for Computing Interior Multiple and Clustered Eigenvalues of Symmetric Elliptic Operators
-
Fixed random features enable efficient neural solutions for neutron transport
Randomized Neural Networks for Integro-Differential Equations with Application to Neutron Transport
-
Local linearization gives nearly order-1/2 pathwise convergence for index-1 SDAEs
Pathwise convergence of a linearization scheme for stochastic differential-algebraic equations under the local Lipschitz coefficients
-
Local bases unify three cubic spline families
A representation and comparison of three cubic macro-elements
-
Weighted metric speeds Riemannian recovery from phaseless measurements
Weighted Riemannian Optimization for Solving Quadratic Equations from Gaussian Magnitude Measurements
-
Medial axis modeling improves global SDF accuracy from point clouds
Medial Axis Aware Learning of Signed Distance Functions
-
The paper proposes a gradient-free dimension reduction technique for Bayesian inference…
Covariance-Informed Subspace: an Adaptive Gradient-Free Input Dimension Reduction Method for Bayesian Inference
-
Monotone operator recovers drift coefficient from terminal data
A monotone iterative reconstruction method for an inverse drift problem in a two-dimensional parabolic equation
-
PackSELL packs deltas and values to speed GPU SpMV 1.63x in FP16
PackSELL: A Sparse Matrix Format for Precision-Agnostic High-Performance SpMV
-
Symmetry-aware network maps data for low-rank Born solver
Inverse scattering beyond Born approximation via rotation-equivariance-aware neural network and low-rank structure
-
Iterative scheme solves nonlinear porous flow systems
A robust iterative scheme for the slightly compressible Darcy-Forchheimer equations
-
Rounding errors split LLMs into three chaos regimes
Numerical Instability and Chaos: Quantifying the Unpredictability of Large Language Models
-
Cyclotomic exponents turn q-series cancellations into exact integer vectors
Deferred Cyclotomic Representation for Stable and Exact Evaluation of q-Hypergeometric Series
-
Finite element scheme converges for anisotropic fractional porous medium
Finite element approximation of an anisotropic porous medium equation with fractional pressure
-
NGMRES scales Picard Lipschitz constant to accelerate Navier-Stokes
Convergence analysis and proof of acceleration for NGMRES applied to the Picard iteration for Navier-Stokes equations
-
Local tangent reconstructions recover missing manifold data with large holes
Manifold Data Imputation
-
Deflation preconditioner stabilizes immersed FEM on trimmed shapes
Deflation-based preconditioning for immersed finite element methods and immersogeometric analysis
-
-
Bayesian filter updates elastodynamic models step by step with new data
Statistical finite elements for sequential data synthesis in solid dynamics
-
Stokes inf-sup constant falls exactly as 1/m with pillar density
Sharp inf-sup estimate for the Stokes equation in tight domains with periodic pillars and some numerical implications
-
Adaptive weighting improves hyperspectral denoising
Spatial-Spectral Adaptive Fidelity and Noise Prior Reduction Guided Hyperspectral Image Denoising
-
Neumann BVPs with functional terms yield localized eigenvalues
An eigenvalue result for Neumann BVPs with functional terms
-
Nitsche method gives optimal errors for Stokes-Poisson-Boltzmann with slip
Nitsche method for the Stokes-Poisson-Boltzmann equation with Navier slip boundary condition
-
Semi-implicit scheme keeps stability in three-species model for any time step
A finite element discretization with semi-implicit nonlinear multistep scheme for a two-dimensional competition-diffusion system of three competing species with different mobility rates
-
Navier-Stokes truncation gets N^{4+ε} orbit-triad bound
Orbit-Level Transfer Matrix for the 3D Fourier-Galerkin Navier-Stokes System on the Periodic Torus: Explicit Orbit-Triad Incidence Bounds and Deterministic Row-Sum Estimates
-
Mixed FEM matches COMSOL on waveguide modes to 0.05% error
And Yet Another FEM-Based Mode Solver for Dielectric Waveguides
-
IMEX schemes preserve anelastic limit and gravity balance
Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelastic Limit of the Isentropic Euler Equations with Gravity
-
Split integrator uses tensors to speed diffusion-reaction on curved grids
A tensor-based exponential integrator for diffusion--reaction equations in common curvilinear coordinates
-
Two-stage scheme achieves unconditional stability for Gray-Scott model
A strong second-order two-stage explicit/implicit technique with spectral orthogonal basis Galerkin finite element method for two-dimensional Gray-Scott model
-
Bi-LSTM fine-tuning removes bias from Monte Carlo optical extraction
Data-efficient extraction of optical properties from 3D Monte Carlo TPSFs using Bi-LSTM transfer learning
-
Fourier regularization builds potential theory without Green's functions
Fourier-based potential theory without an explicit Green's function
-
DiLO turns diffusion sampling into deterministic optimization for inverse problems
DiLO: Decoupling Generative Priors and Neural Operators via Diffusion Latent Optimization for Inverse Problems
-
Stokes FEM gets optimal rates with rough boundary data
Numerical analysis for the Stokes problem with non-homogeneous Dirichlet boundary condition
-
Treating coordinates as dynamical fields conserves Noether charges exactly after discretiz
From Exact Space-Time Symmetry Conservation to Automatic Mesh Refinement in Discrete Initial Boundary Value Problems
-
Moving sensors recover unique parabolic sources from sparse data
Inverse source problem for the parabolic equation with sparse moving observations