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Every paper Pith has read. Search by title, abstract, or pith.
1525 papers in math.NA · page 19
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Cooperative models recover PDE solutions from sparse noisy data
HYCO: A Formalism for Hybrid-Cooperative PDE Modelling
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AI teams prove new error bounds for Hermite quadrature
The AI Research Assistant: Promise, Peril, and a Proof of Concept
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Block quadrifocal tensor has fixed multilinear rank (4,4,4,4)
QuadSync: Quadrifocal Tensor Synchronization via Tucker Decomposition
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THB-splines cut cost of high-order phase-field fracture simulations
Adaptive isogeometric analysis of high-order phase-field fracture based on THB-splines
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Equivariant networks match ReLU rates for symmetric functions
Quantitative Approximation Rates for Group Equivariant Learning
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Isoparametric DG reaches optimal rates on curved domains
Optimal error estimate of an isoparametric upwind discontinuous Galerkin method for radiation transport equation on curved domains
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Neural Basis Method solves multiscale Darcian flows via stable residual projection
Solving and learning advective multiscale Darcian dynamics with the Neural Basis Method
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One Stein solve gives matrix exponential over entire time interval
Computing the action of a matrix exponential on an interval via the $\star$-product approach
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Mesh split into two subproblems runs mean curvature flow in parallel
Domain Decomposition for Mean Curvature Flow of Surface Polygonal Meshes
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PSWF Ewald summation uses fewer Fourier modes for target accuracy
Fast Ewald Summation using Prolate Spheroidal Wave Functions
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Mass-lumped splitting keeps stochastic heat solutions nonnegative
A Fully Discrete Nonnegativity-Preserving FEM for a Stochastic Heat Equation
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Agglomeration creates scalable multigrid for cardiac DG simulations
An agglomeration-based multigrid solver for the discontinuous Galerkin discretization of cardiac electrophysiology
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Homotopy path deforms simple system to solve multiobjective KKT problems
A Homotopy Framework for Constrained Multiobjective Optimization
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Finite elements plus extreme learning machines solve parametrized inverse PDEs
Solving Inverse Parametrized Problems via Finite Elements and Extreme Learning Networks
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Fourier pseudo-differential terms speed PINN high-frequency learning
Pseudo-differential-enhanced physics-informed neural networks
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Direct solvers scale via communication cuts and low-rank compression
Parallel Sparse and Data-Sparse Factorization-based Linear Solvers
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Double-bracket flow makes eigendecomposition ignore isotropic noise
Discrete Double-Bracket Flows for Isotropic-Noise Invariant Eigendecomposition
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Diffusion samples reach then slide along data ridges
Diffusion Model's Generalization Can Be Characterized by Inductive Biases toward a Data-Dependent Ridge Manifold
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Bernstein activations give exponential approximation rates and 99 percent fewer parameters
Exponential Approximation Rates and Parameter Efficiency of Learnable Bernstein Activations
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Two opposite directions recover source strip and pulse moments
A frequency-domain method to inverse moving source problem with unknown radiating moment
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Sparse neural net training reaches 6% of SGD FLOPs
Sparse Training of Neural Networks based on Multilevel Mirror Descent
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FlashSinkhorn speeds up Sinkhorn OT up to 32x on A100 GPUs
FlashSinkhorn: IO-Aware Entropic Optimal Transport on GPU
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Trefftz PINNs keep magnetic topologies intact where standard ones collapse
Comparison of Trefftz-Based PINNs and Standard PINNs Focusing on Structure Preservation
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Finite evaluations set hard limits on function approximation
Approximation of Functions: Optimal Sampling and Complexity
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Preconditioned ALD reaches KL accuracy in dimension-free time for mixtures
Dimension-Free Multimodal Sampling via Preconditioned Annealed Langevin Dynamics
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Bayesian method recovers seabed shape and roughness from waves
Simultaneous Estimation of Seabed and Its Roughness With Longitudinal Waves
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JFB reaches stationary points for implicit optimal control
On the Convergence of Jacobian-Free Backpropagation for Optimal Control Problems with Implicit Hamiltonians
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Markov reward split isolates persistent regimes from transients
Persistent-Transient Policy Evaluation for Markov Chains via Minimal Peripheral Quotients
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Time-dependent drifts yield forward-KL bounds for Langevin samplers
Forward-KL Convergence of Time-Inhomogeneous Langevin Diffusions
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Exact moment matching derived for residual network activations
Exact Gaussian Moment Matching for Residual Networks: a Second-Order Method
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Minimizing monotone residuals solves Hamilton-Jacobi equations
Solving Hamilton-Jacobi equations by minimizing residuals of monotone discretizations
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Error-guided precision boosts transformer accuracy by 100x
LAMP: Look-Ahead Mixed-Precision Inference of Large Language Models
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Strength tweaks improve AMG convergence on stretched meshes
Improving Smoothed Aggregation AMG Robustness on Stretched Mesh Applications
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Laguerre moments solve Kesten-Stigum density via transform equation
Computing the density of the Kesten-Stigum limit in supercritical Galton-Watson processes
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Physics-informed AI framework models cultural heritage degradation
Integrating Artificial Intelligence, Physics, and Internet of Things: A Framework for Cultural Heritage Conservation
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Oslo-based factorization speeds direct B-spline products
An algorithmic approach to direct spline products: procedures and computational aspects
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Generalized PCG with MG preconditioner delivers optimal AFEM
Generalized preconditioned conjugate gradients for adaptive FEM with optimal complexity
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Optimal resilience exists for any network of three or more nodes
On the existence of Ulanowicz's optimal structural resilience in complex networks
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ADER-DG local solution gains one higher convergence order
Improving the local solution of the DG predictor of the ADER-DG method for solving systems of ordinary differential equations and its applicability to systems of differential-algebraic equations
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FrBD models extended to viscoelasticity with hyperbolic PDEs
Two-dimensional FrBD friction models for rolling contact: extension to linear viscoelasticity
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CNN surrogate predicts 3D fracture conductivity tensors 100x faster
Convolutional Surrogate for 3D Discrete Fracture-Matrix Tensor Upscaling
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Error bound for switched system reduction handles inexact equations
Model Reduction for Switched Linear Systems via Generalized Lyapunov Equations
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Specular differentiation yields quasi-mean value and quasi-Fermat theorems
Specular differentiation in normed vector spaces: Quasi-Mean Value and Quasi-Fermat Theorems
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Oblique projection preserves symmetry in pseudo-Hermitian eigensolves
Chebyshev Accelerated Subspace Eigensolver for Pseudo-hermitian Hamiltonians
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Specular differentiation yields second-order ODE schemes
Nonlinear numerical schemes using specular differentiation for initial value problems of first-order ordinary differential equations
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MATLAB package solves multiple scattering with TDG and T-matrices
TMATDG: applying TDG methods to multiple scattering via T-matrix approximation
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Higher-order polytopal scheme solves fracture contact with friction
A higher order polytopal method for contact mechanics with Tresca friction
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Surface metric appears in stochastic particle density equation
Surface Dean--Kawasaki equations
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Agentic LLMs reach 72 percent success on finite-element code tasks
ALL-FEM: Agentic Large Language models Fine-tuned for Finite Element Methods
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Line sampling recovers hypersurface regions without equations
Elimination Without Eliminating: Computing Complements of Real Hypersurfaces Using Pseudo-Witness Sets