archive
Every paper Pith has read. Search by title, abstract, or pith.
1525 papers in math.NA · page 1
-
Damped looping of transformer blocks lifts accuracy on frozen models
Training-Free Looped Transformers
-
Mixed-precision keeps accuracy in large ODE solvers
Mixed-Precision in adaptive Runge-Kutta method for large ODE systems
-
EDA sketching from RHS differences accelerates all members
Accelerating an ensemble of variational data assimilations with randomized preconditioning
-
Randomized screening yields directional stationarity in max-DC programs
RA-DCA: A Randomized Active-Set DCA for Directional Stationarity in Max-Structured DC Programs
-
4D hole-like elements enable topology changes in 3D ALE meshes
On the treatment of topology changes on 3D polyhedral moving meshes via 4D space-time hole-like elements in direct ALE ADER-DG methods
-
Jacobi histopolation matrices admit explicit GLT symbols
Spectral distribution of Jacobi weighted histopolation matrices via GLT theory
-
Finite element scheme preserves nodal bounds and mass for fourth-order problems
A high-order nodally bound-preserving and mass-conservative method for linear fourth-order elliptic problems and its applications to nonlinear parabolic equations
-
Leverage-score sampling achieves stable signal recovery at m ~ n log n
Stochastic Generalized Sampling
-
Conforming liftings unify virtual and discrete polytopal analyses
Key challenges and bridges among convergence analysis techniques for polytopal methods
-
Preconditioning caps PINN kernel radius independent of coupling
Coupling-Robust Accuracy in Multiphysics Physics Informed Neural Networks via Kronecker-Preconditioned Optimization
-
Nonconforming elements bound BEC energy from below
Nonconforming Finite Element Approximation and Energy Lower Bound Estimation for the Gross--Pitaevskii Energy Functional
-
Lebesgue function shows peculiar geometry on interval and square
Geometric properties of the Lebesgue function
-
Ensemble schemes achieve high-order stable Navier-Stokes-Darcy simulations
High-order, long-time stable and parallel decoupled GBDF$k$ SAV ensemble schemes for the Navier--Stokes--Darcy flow with random hydraulic conductivity tensors
-
Spectral matrices turn fractional p-Laplacian integrals into eigenvalue sums
A matrix-based spectral method for the numerical approximation of the fractional Laplacian and the fractional $p$-Laplacian of functions defined on $\mathbb R^n$
-
Fourier projection turns resonance search into low-dimensional eigenvalue problem
Fourier--Galerkin Methods for Subwavelength Resonances in two-dimensional Acoustic Metamaterials
-
RankElastor stabilizes rank trajectories for scaled recommenders
Expand More, Shrink Less: Shaping Effective-Rank Dynamics for Dense Scaling in Recommendation
-
Redesigned traces enable high-order conservative DG for KdV equations
High-order Conservative Discontinuous Galerkin Methods via Implicit Penalization for the Generalized Korteweg-de Vries Equation and the Hirota-Satsuma KdV System
-
Mass-orthogonality penalty yields consistent mode shapes from sparse data
Mode-Shape Expansion Using Physics-Constrained Gaussian Process Regression
-
Equivalence of manifold conditions simplifies intersection optimization
Optimization over the intersection of manifolds
-
Newton method solves TV minimization with superlinear convergence
A $\operatorname{prox}$-Based Semi-Smooth Newton Method for TV-Minimization
-
Multi-task operator learning matches single-task rates
Multiple Neural Operators Achieve Near-Optimal Rates for Multi-Task Learning
-
Coupled cluster amplitudes proven real analytic in nuclear coordinates
On the Regularity and Interpolation of Coupled Cluster Amplitudes in Canonical Orbital Basis
-
Neural flows approximate any operator on function spaces
Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations
-
Full-order convergence proven for decoupled Runge-Kutta schemes
Decoupling Runge-Kutta schemes for elliptic-parabolic problems
-
New splitting cuts American option iterations by nearly 10x
Schwarz Modulus Based Matrix Splittings with Minimal Polynomial Extrapolation Acceleration for linear complementarity problems arising from American option pricing
-
Matching convergence for PDE opt and control via time decomposition
From PDEs constrained optimization to controllability problems via time domain decomposition
-
Randomized sketching restores short recurrences in flexible LSQR and LSMR
Randomized Flexible LSQR and LSMR with applications to inverse problems
-
BEM for variable coefficients via volume discretization
BEM for variable coefficient second-order problems
-
Neural networks solve Monge-Ampère equations with convexity built in
Physics-Informed Neural Networks with Attention Feature Expansion for Monge-Amp\`ere Equations
-
Analytic criteria split stability regions in pantograph delay equations
Stability Analysis of Pantograph Delay Differential Equations
-
Monotone schemes achieve first-order convergence on graph Wasserstein spaces
First-Order Convergence of Monotone Schemes for Hamilton--Jacobi Equations on the Wasserstein Space on Graphs
-
Raviart-Thomas elements converge eigenvalues from above on rectangles
Refined convergence structures of the rectangular Raviart-Thomas element
-
Low-rank tensors reduce Riccati equations for large control
Proximal Gradient-based Low Rank Tensor Decomposition for State Dependent Riccati Equation
-
Butterfly factorization speeds manifold harmonic transforms
A Butterfly-Accelerated Manifold Harmonic Transform
-
Fewer decorated particles match standard accuracy in Vlasov-Poisson runs
A Structure-Preserving Decorated Particle Method for the Vlasov-Poisson System
-
Quasi-optimal estimates proven for biharmonic on polytopal meshes
Quasi-optimal polytopal finite element methods for biharmonic equation
-
Tempered posteriors yield near-optimal dimension reduction spaces
Likelihood-informed dimension reduction across tempered Bayesian posteriors
-
Upwind DG scheme keeps mass and energy exact in tumor model
Structure-preserving upwind DG scheme for a Cahn-Hilliard-Darcy model of tumor growth
-
QTT solver handles elliptic equations with 10^37 degrees of freedom
Stable full-field simulation of a multiscale elliptic equation by means of Quantized Tensor Trains
-
Runge-Kutta schemes compute ruin probabilities for Gamma and Pareto claims
Runge--Kutta numerical methods for ruin probabilities in classical risk model
-
Triplet structure yields stable square roots for M-matrices
Component-wise accurate computation of the square root of an M-matrix
-
B-spline operators enforce charge conservation in thin-wire FDTD
Composite B-Spline Current Deposition and Interpolation Operators for Thin-Wire Finite-Difference Time-Domain Simulations
-
Finite element scheme for mean curvature flow gets optimal H1 error bound
Error analysis of a finite element scheme for parametric mean curvature flow based on the DeTurck trick
-
Strongly enforcing pointwise symmetry on discrete stress tensors delivers accurate…
Achieving Material Robustness via Symmetric Stress Finite Element Discretizations
-
Transport maps to PDE measures are Hölder continuous
On the Regularity and Generalization of One-Step Wasserstein-guided Generative Models for PDE-Induced Measures
-
PDE residual selects training data to cut neural operator costs
Data-Efficient Neural Operator Training via Physics-Based Active Learning
-
Least-squares weak Galerkin yields unique solutions for Helmholtz Cauchy problems
A Least-Squares Weak Galerkin Finite Element Scheme for Cauchy Problems in Helmholtz
-
Harmonic waves yield better inclusion maps from lab data
Experimental detection of inclusions for the time-harmonic elastic wave equation
-
Finite difference scheme reproduces exact plane waves for Helmholtz
A Bernoulli phase-fitted finite difference method and wavenumber-explicit analysis for the one-dimensional Helmholtz equation
-
Galerkin method outperforms Monte Carlo for random parabolic problems
Stochastic Galerkin and Monte-Carlo methods for parabolic problems: Numerical performance of variational matrix-free approximations