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Every paper Pith has read. Search by title, abstract, or pith.
1525 papers in math.NA · page 2
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Rectangular eigenvalue problems gain perturbation theory
Rectangular Multispectral Perturbation Theory
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Explicit formulas give condition numbers for eigenvector-nonlinear eigenproblems
Conditioning and backward errors for nonlinear eigenvalue problems with eigenvector nonlinearities
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Fibonacci lattice energies equal linear growth plus constant
Precise Asymptotics and Exact Formulas for Tensor Product Energies of Fibonacci Lattices
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One toolbox solves both polynomial systems and multiparameter eigenvalue problems
Solving Multivariate Polynomial Systems and Rectangular Multiparameter Eigenvalue Problems with MacaulayLab
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Fourth-order compact scheme works on arbitrary curved domains
Efficient and simple fourth-order compact finite difference methods for convection-diffusion-reaction equations on arbitrary curved domains
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T-Williamson normal form for positive-definite tensor slices
Hamiltonian and Symplectic Tensors in the T-product Algebra
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Bayesian posteriors confined to low-dimensional data subspace
Data-informed posterior approximation for Bayesian linear inverse problems
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Addition theorems yield exact elastic potential matrices
Addition Theorems for Real Vector Spherical Harmonics and Explicit Matrix Representations of the Quasi-Periodic Elastic Single Layer Potential
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Persistent homology picks topology-aware threshold for scatterer imaging
Persistent-Homology-Guided Topology Scanning of Qualitative Indicators for Acoustic Inverse Scattering
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Linear stabilization method tames oscillations in advection problems
Multilevel Isogeometric Projection Stabilization via Quasi-Interpolation for Advection-Dominated Problems
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Linear multilevel method tames oscillations in advection problems
Multilevel Isogeometric Projection Stabilization via Quasi-Interpolation for Advection-Dominated Problems
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Neurons encode exact Maxwell solutions for fast sparse field reconstruction
Fast Reconstruction of Exact Maxwell Dynamics from Sparse Data
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Adaptive surrogate cuts FSI optimization cost by 80 percent
Adaptive Multi-Fidelity Structural Optimization under Fluid-Structure Interaction
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Schrödinger solver runs 10^9 points in 3D under one second on GPU
A Simple GPU-Accelerated Solver for the Schr\"odinger Operator with Applications to Ground States and Hamiltonian Simulation
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Simple averages stabilize entropy in Euler discretizations
Entropy-stable discretizations for the compressible Euler equations using simple adaptive averages
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Discretization preserves area and volume in curvature flows at any order
Arbitrary-order structure-preserving discretizations for geometric curvature flows
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Asymmetric Nitsche method stabilizes edge elements without penalties
A Penalty-Free Asymmetric Nitsche's Method for Edge Elements
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Parallel methods scale generalized CP tensor decomposition
Synchronous and Asynchronous Parallelism Approaches for Generalized Canonical Polyadic Tensor Decomposition with GenTen
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Particle method solves 3D cancer model with positivity preserved
A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model
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Sampling estimates RKHS norms reliably via superconvergence
Reliable sampling-based RKHS norm estimation via superconvergence
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Adaptive iterative Galerkin method reaches quasi-optimal complexity
Quasi-optimal complexity of iterative Galerkin methods driven by an elliptic reconstruction error estimator
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Elliptic reconstruction estimator yields quasi-optimal complexity for nonlinear Galerkin
Quasi-optimal complexity of iterative Galerkin methods driven by an elliptic reconstruction error estimator
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Bounds separate Monte Carlo and proposal errors in data-driven importance sampling
Error Bounds for Importance Sampling with Estimated Proposal Distributions
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Rational approximation decouples time steps from 3D TEM inversion cost
Scalable parallel 3-D TEM inversion via rational approximation of the matrix exponential
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Second-order scheme preserves unit length and energy in vector flows
A second-order product-type implicit-explicit Runge-Kutta method preserving unit length and energy dissipation structures for gradient flows of vector fields
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Dual-field FEM preserves mass and magnetic constraints in Hall MHD
A dual-field structure-preserving mixed finite element discretization for incompressible Hall MHD equations
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Domain decomposition extends recursive Green's functions to parallel n-diagonal use
Revisiting recursive methods for Dyson and Keldysh in NEGF: Part I
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Reduced-basis trust-region speeds elastic defect identification
Adaptive Reduced-Basis Trust-Region Methods for Defect Identification in Elastic Materials
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Neural operator matches exact coarse solve in preconditioners
When can a neural operator replace a coarse solve? Architectural principles for two-level preconditioning
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GNNs detect communities to aid graph signal interpolation
Graph Neural Networks for Community Detection in Graph Signal Analysis
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Regularized graph diffusion yields stable EIT reconstructions
Diffusion Graph Posterior Sampling for Nonlinear Inverse Problems with Application to Electrical Impedance Tomography
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Splines replace neural networks for accurate ODE solutions
A Spline-based Physics-Informed Numerical Scheme: Accurate Smooth Solutions for Differential Equations
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Unified DG scheme stabilizes diffusion for any contrast
A Unified Transmissibility-Based Interior Penalty DG Method for Heterogeneous and Anisotropic Diffusion
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Element choice shifts compliance and accuracy in SIMP optimization
Assessing Finite Element Choice in Structural Topology Optimization and A Posteriori Error Estimation
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Bent nanobeams produce external magnetic flux without piezomagnetic coupling
Evaluation of External Magnetic Flux Density in Piezo-Flexomagnetic Nanobeams Using a Hybrid 1D-2D Finite Element Framework
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Neighborhood selection cuts indoor positioning errors
Measurement Selection Strategies for Position Estimation in Indoor Environments
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Clamped L-splines produce diagonally dominant tridiagonal systems
Fast algorithms for interpolation with clamped $L$-splines of order four
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GMM curriculum cuts PINN errors on PDEs by up to 98%
From Simple to Complex: Curriculum-Guided Physics-Informed Neural Networks via Gaussian Mixture Models
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Tessellation wavelets decompose particle dynamics by scale
Multiresolution analysis on tessellation graphs for inertial particle dynamics
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Orthonormal matrices minimize worst-case sketched least-squares error
Sharp analysis of sketched least squares and randomized low-rank approximation
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Projection recovers unitary eigenspaces from real embeddings
Recovering Complex Unitary Eigenspaces from Real-Valued Embeddings
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Selective DG proves optimal errors for elliptic interfaces
A Priori Error Analysis of a High-Order Selective Discontinuous Galerkin Method for Elliptic Interface Problems
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Dummy flat elements convert FEM to DG scheme for diffusion
DG = FEM + flat elements, Part I: Diffusion
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Girsanov path weights recover exact particle SMC for diffusion guidance
SURGE: Approximation and Training Free Particle Filter for Diffusion Surrogate
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PIC scheme conserves energy exactly in relativistic plasmas
An explicit, energy-conserving particle-in-cell scheme for relativistic plasmas
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Volterra signature computed in quadratic or better time
Computational aspects of the Volterra Signature
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Polynomial eigenvalue bound yields stochastic Tikhonov rates
Stochastic Convergence Analysis for Large-Scale Linear Discrete Ill-posed Problems
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Moving objects reconstructed with per-Gaussian motion in tomography
Motion-Enabled Tomography via Gaussian Mixture Models
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Bi-offset model reconstructs center lines from boundaries via curvature
A regularization method for planar offset curves and bi-offset recognition
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McLachlan projection bounds error in Schrödingerized backward diffusion
McLachlan-projected reduced dynamics for ill-posed Schr\"odingerized backward diffusion