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Every paper Pith has read. Search by title, abstract, or pith.
1525 papers in math.NA · page 9
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Monte Carlo paths and neural nets solve fractional PDEs up to dimension 100
Deep-Picard Iteration for Space-time Fractional Diffusion PDEs
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Variational method recovers reservoir stress via high-precision linear solve
A variational approach to estimating the state of a magma reservoir from observed displacement
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Joint priors add correlations while keeping marginals fixed
Beyond Independence: on Jointly Normal Priors in Bayesian Inversion
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Palindromic quadratics admit spectral decomposition
Spectral decomposition of $(\star, \epsilon)$-palindromic matrix polynomial and its applications
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Adaptive quadrature narrows loss gap in neural PDE solvers
Adaptive anisotropic composite quadratures for residual minimisation in neural PDE approximations
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Gauge momentum stabilizes PDE parametrizations
A Dirac-Frenkel-Onsager principle: Instantaneous residual minimization with gauge momentum for nonlinear parametrizations of PDE solutions
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Structure-preserving method controls Maxwell waves for cloaking
Structure-Preserving Optimal Control of Maxwell's Equations with Applications to Source Cloaking
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Restoring omitted terms lifts IB methods to second-order accuracy
Beyond first-order accuracy in continuous-forcing immersed boundary methods, and their well-conditioned projection-based solution
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Commuting projections preserve discrete traces in 3D de Rham
Bounded, Commuting, Discrete-trace Preserving Projections
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Algorithm recovers near-optimal Stokes flow from partial boundary data
A near-optimal recovery algorithm for the Stokes equations with incomplete information on the boundary conditions
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Small noise makes regimes last longer
Noise-induced enhancement of regime lifetimes -- A data-driven approach using deterministic trajectories
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FGMRES convergence splits into two phases set by inner tolerance
Flexible GMRES converges in two phases
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The paper develops a new integrated-physics version of the moist shallow water equations…
Exploring physics-dynamics coupling using moist shallow water equations
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Time-discrete scheme preserves frame indifference in thermoviscoelasticity
Frame-indifferent discretization in nonlinear thermoviscoelasticity: Analysis and numerical simulations
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Möbius transform makes trapezoidal rule optimal for weighted real-line integrals
M\"obius-transformed trapezoidal rule for polynomial weights
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Shock capturing extended to mixed curvilinear meshes
h-Adaptive FV Subcell Shock-Capturing for DGSEM on Heterogeneous Curvilinear Meshes
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Splitting decouples nonlinear PDEs for Deep Ritz solution
An adaptive Deep Ritz framework for second-order fully nonlinear partial differential equations
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Topological rule ensures waveform relaxation convergence for coupled DAEs
Waveform Relaxation for Field/Circuit Coupled DAEs with Generalized Capacitances
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Monte Carlo computes frequency- and time-domain Jacobians
Computation of frequency- and time-domain Jacobians in optical tomography with Monte Carlo simulations
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Tangential-slip splines enable sustained rotation in ALE FSI
Parameterization-driven arbitrary Lagrangian-Eulerian method for large-deformation isogeometric fluid-structure interaction
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RH solver computes coupled mKdV solutions directly at any point
Numerical inverse scattering transform for the coupled modified Korteweg-de Vries equation
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DG IMEX scheme yields optimal errors and ion mass conservation
Discontinuous Galerkin IMEX Pressure Correction Scheme for the Poisson-Nernst-Planck-Navier-Stokes Equations
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Neural networks achieve explicit L1 rates for conservation-law shocks
A neural network method for scalar conservation laws with convergence rates for shock-wave solutions
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Neural nets recover O(h^{1/2}) rates for conservation law shocks
A neural network method for scalar conservation laws with convergence rates for shock-wave solutions
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Surrogate interface enables first-order cohesive simulations
A Shifted Cohesive-Zone Method for Non-Interface-Fitted Meshes with Applications to Crystal Plasticity
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Divide-and-conquer eigen decomp beats PyTorch SVD for batches under 64
A Short Note on Batch-efficient Divide-and-Conquer Algorithm for EigenDecomposition
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Thermodynamic constraint reduces cusp singularities in flow regularization
Thermodynamically Constrained Information Geometric Regularization for Compressible Flows
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Weight transformations embed kernel Hilbert spaces for any d
Embeddings of Reproducing Kernel Hilbert Spaces with General Weights
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Entropic least squares solved by dual Newton in O(log 1/ε) iterations
A Scale-Shape Dual Newton Method for Entropic Least Squares
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Matrix concentration inequalities bound random matrices for computation
Applied Random Matrix Theory
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Sphere sampling yields closed-form zeroth-order steps for quadratic quotients
Generalization of Zeroth-Order Method for Quotients of Quadratic Functions
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Pressure nudging recovers slightly compressible flows in incompressible models
Data assimilation for slightly compressible flow
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Nonlocal conservation laws with memory converge to memoryless as retention shrinks
Systems of Nonlocal Conservation Laws with Memory and Their Zero Retention Limit
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Multilevel qDRIFT cuts gate cost from O(ε^{-3}) to O(ε^{-2} log²(1/ε))
MLMC-qDRIFT: Multilevel Variance Reduction for Randomized Quantum Hamiltonian Simulation
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Multilevel sampling lowers qDRIFT cost to O(ε^{-2} log²(1/ε))
MLMC-qDRIFT: Multilevel Variance Reduction for Randomized Quantum Hamiltonian Simulation
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Regenerative cycles scale deep policy iteration to 10,000 dimensions
Deep Policy Iteration for High-Dimensional Mean-Field Games with Regenerative Reformulation
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Regenerative cycles scale mean-field games to 10,000 dimensions
Deep Policy Iteration for High-Dimensional Mean-Field Games with Regenerative Reformulation
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Hybrid solver reaches LM-quality PGET maps in one third the iterations
Robust Model-Based Iteration for Passive Gamma Emission Tomography
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Explicit enrichments give C1 elasticity elements on barycentric refinements
Explicit Planar Finite Element Elasticity Complexes and $C^1$ Elements on Barycentric Refinements
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Projections handle truncation and uncertainty in optical tomography
Projections for handling uncertainties and enabling domain truncation in diffuse optical tomography
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Rational time approximation yields convergent VARMA for fractional spatio-temporal models
ARMA approximation of a Non-separable Spatio-Temporal Model with Fractional Smoothnesses in Space and Time
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Multiscale solver achieves O(H) error for Maxwell in high-contrast media
Multiscale Modeling for Time-harmonic Maxwell equations with impedance boundary conditions in highly heterogeneous media
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The paper introduces a matrix-free Galerkin geometric multigrid solver for 3D SIMP linear…
A Matrix-Free Galerkin Multigrid Solver and Failure-Mode Screen for Single-GPU 3D SIMP Linear Systems
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Quadratic reformulation keeps energy stable in Cahn-Hilliard schemes
Energy stable auxiliary variable method for Cahn--Hilliard equations
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Integer transfers enforce exact conservation without round-off drift
Drift-Free Conservative Dynamics from Quantized Interaction Rules
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Integer transfers enforce exact conservation without round-off drift
Drift-Free Conservative Dynamics from Quantized Interaction Rules
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Diagonal mass matrix yields explicit second-order max-principle CR scheme for transport
A Second-Order Maximum-Principle-Preserving Crouzeix-Raviart Finite Element Method for Time-dependent Transport Equation
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Fejér kernel powers create matrix-exponential distributions beating Erlang limit
Optimization-Free Concentrated Matrix-Exponentials
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Tucker encoding builds nonlinear bases for PDE reduced models
Structure-Aware Tensorial Model Reduction
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BAE and spotlight methods related but not equivalent
Spotlight, priorsketching and Bayesian approximation error paradigms