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Every paper Pith has read. Search by title, abstract, or pith.
1525 papers in math.NA · page 17
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Curvature-aware methods boost PINN accuracy on tough PDEs
Curvature-Aware Optimization for High-Accuracy Physics-Informed Neural Networks
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Residue overrides eliminate most false reports in floating-point debuggers
Accurate Residues for Floating-Point Debugging
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Dictionary learning with TV converges for single-cell microscopy
Learned Dictionaries with Total Variation and Non-Negativity for Single-Cell Microscopy: Convergence Theory and Deterministic Multi-Channel Cell Feature Unification
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One small sketch powers adaptive least-squares preconditioner
Adaptive LSQR Preconditioning from One Small Sketch
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Bounded extension operator makes forms commute with derivative on Lipschitz domains
Uniformly Bounded Cochain Extensions and Uniform Poincar\'e Inequalities
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Regularized kernel gives well-posed Bloch-DDF equations on bounded domains
Weak Solutions to the Bloch Equations with Distant Dipolar Field
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Tetrahedral Helmholtz operators stay within 2.5x of hexahedral speed on GPUs
Architecture-aware $h$-to-$p$ optimisation: spectral/$hp$ element operators for mixed-element meshes
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HDG scheme converges optimally for radial Einstein-scalar equations
A Convergent Hybridizable Discontinuous Galerkin Method for Einstein--Scalar Equations
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Exponential n-width decay bounds band ROM errors
On the Optimality of Reduced-Order Models for Band Structure Computations: A Kolmogorov $n$-Width Perspective
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Single-loop primal-dual method hits O(ε^{-3}) complexity for orthogonality problems
Primal-Dual Methods for Nonsmooth Nonconvex Optimization with Orthogonality Constraints
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Geometric mean gives spectrum for non-Hermitian block Toeplitz matrices
A note on the spectral distribution of non-Hermitian block matrices with Toeplitz blocks
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Nonlinear updating recovers stiffness parameters linear methods miss
Nonlinear Model Updating of Aerospace Structures via Taylor-Series Reduced-Order Models
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ODEs recover any-regularization solutions in semi-discrete transport
Ordinary differential equations for regularized variational problems involving semi-discrete optimal transport
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Lower-order VEM skips mass matrix stabilization for eigenvalues
Virtual element approximation of eigenvalue problems: is the stabilization of the right hand side necessary?
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Stabilization-free VEM achieves optimal eigenvalue convergence
A high order stabilization-free virtual element method for general second-order elliptic eigenvalue problem
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Velocity-weighted loss guarantees PINN convergence for BGK model
A Theory-guided Weighted $L^2$ Loss for solving the BGK model via Physics-informed neural networks
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Quadrature on R^d matches cube rates for fractional Gaussian Sobolev functions
Optimal numerical integration for functions in fractional Gaussian Sobolev spaces
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Retraction maps build constraint-exact integrators for Lie group systems
Geometric Integrators for Nonholonomic Systems on Lie Groups
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D-splitting yields 2N-storage embedded RK at any order
D-splitting methods: 2N -storage embedded explicit Runge-Kutta methods at any order using splitting methods
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Phase-shift networks solve high-frequency PDEs to high precision
High-Precision Phase-Shift Transferable Neural Networks for High-Frequency Function Approximation and PDE Solution
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Balanced precisions give dimension bounds on signal codebook size
High-Dimensional Signal Compression: Lattice Point Bounds and Metric Entropy
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Multiple viscosities let DG methods target specific effects precisely
Entropy correction artificial viscosity for high order DG methods using multiple artificial viscosities
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Preintegration lifts MLMC to -1 convergence rate in risk estimation
Nested Multilevel Monte Carlo with Preintegration for Efficient Risk Estimation
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Penalty term enables unconditional stability in biharmonic wave IGA
An unconditionally stable space-time isogeometric method for a biharmonic wave equation
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LDG schemes stabilize anisotropic curve flows on bad meshes
High-order parametric local discontinuous Galerkin methods for anisotropic curve-shortening flows
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Triangular HPS solver delivers O(N log N) direct solves for surface PDEs
A High-Order Fast Direct Solver for Surface PDEs on Triangles
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Alfeld split gives C^r elements in any dimension with lower degrees
A Construction of $C^{r}$ Conforming Finite Elements on the Alfeld Split in Any Dimension
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Neural operators learn contractive kernels for Fredholm equations
Learning Contractive Integral Operators with Fredholm Integral Neural Operators
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The paper proposes GTransNet
Generalized Transferable Neural Networks for Steady-State Partial Differential Equations
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SDC reaches order p after p iterations in Runge-Kutta framework
Spectral Deferred Corrections in the framework of Runge-Kutta methods
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Streaming DMD gains stability and forecast skill with residual bounds
New Robust Streaming DMD with Forecasting
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Sketch-based GPU solver handles 5000-asset portfolios in seconds
Scalable Mean-Variance Portfolio Optimization via Subspace Embeddings and GPU-Friendly Nesterov-Accelerated Projected Gradient
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Guaranteed error bounds derived for SPN neutron equations
A posteriori error estimates for mixed finite element discretization of the multigroup Neutron Simplified Transport equations with Robin boundary condition
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Quadratic refinement for non-Hermitian eigenvectors
Iterative Refinement for Diagonalizable Non-Hermitian Eigendecompositions
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Diffusion-based scheme preserves positivity in elliptic PDEs
A Non-compact Positivity-Preserving Numerical Scheme for Elliptic Differential Equations Based on Mathematical Expectation
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Hermite-Galerkin method gives error bounds for filter gain approximation
Error Estimates of the Gain Approximation by Hermite-Galerkin Method in Feedback Particle Filter
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Hybrid PINN-FDM method simulates thermal-hydraulics data-free
A Numerical Method for Coupling Parameterized Physics-Informed Neural Networks and FDM for Advanced Thermal-Hydraulic System Simulation
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RSI outperforms RSVD in low-rank compression of pretrained models
Low-Rank Compression of Pretrained Models via Randomized Subspace Iteration
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Loss learns particle potentials from unlabeled snapshots
Learning interacting particle systems from unlabeled data
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MRE inversion accuracy varies non-monotonically with resolution
Simulation Platform To Evaluate Inversion Techniques For Magnetic Resonance Elastography Data
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TLS core problems split into unique irreducible components
Unitary-Invariant Decomposition of Reducible Total Least Squares Core Problems
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Samplet bases converge to multiwavelets in infinite-data limit
Samplet limits and multiwavelets
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Noisy quantum neural networks approximate any function with error bounds
Quantitative Universal Approximation for Noisy Quantum Neural Networks
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Noisy quantum neural networks approximate functions with explicit error bounds
Quantitative Universal Approximation for Noisy Quantum Neural Networks
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Jacobi eigendecomposition yields stable Hermite transforms
Stable Hermite transforms via the Golub-Welsch algorithm
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Lie algebra matrix spans equivariant invariant functions
Efficient construction of Lie group-equivariant and permutation-invariant spaces
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Deterministic lattices achieve optimal rates without randomization
A deterministic multiple-shift lattice algorithm for function approximation in Korobov and half-period Cosine spaces
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Regularized transport supports scale as ε to 1/(d(p-1)+2)
Sharp local sparsity of regularized optimal transport
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Neural net learns measure-dependent drifts from particle paths
MVNN: A Measure-Valued Neural Network for Learning McKean-Vlasov Dynamics from Particle Data
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Bio-PINNs recover cell-induced densification and tethers more accurately
Cell-induced densification and tether formation in fibrous extracellular matrices with biomimetic physics-informed neural networks