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1525 papers in math.NA · page 11
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Neural replacement inside multilevel solver accelerates RTE by 10x
A Filtered MgNet Solver For Radiative Transfer Equations
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Low-rank ADI solves million-scale non-symmetric Riccati equations
A Low-rank ADI Algorithm for Solving Large-scale Non-symmetric Algebraic Riccati Equations
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O(n) random numbers condition any matrix to O(n)
Well-Conditioned Oblivious Perturbations in Linear Space
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Energy criterion ties spectral blowup to regularity loss in 3D Navier-Stokes
The Energy Based Near Singularity for Fourier Spectral 3D Navier-Stokes Equations
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Energy criterion links numerical blowup to Navier-Stokes regularity loss
The Energy Based Near Singularity for Fourier Spectral 3D Navier-Stokes Equations
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Patch blending cancels derivative jumps exactly on C0 meshes
Mesh-Intrinsic GFEM: High-Order Smoothness on $C^0$ Unstructured Meshes
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Dice-sum hitting time to squares computed to 1017 decimals
High-Precision Framework for Expected Hitting Times Analysis in the Dice-Sum Process
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Recursive algorithm uniquely completes rank-one tensors
Rank One Completion for Higher Order Tensors
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Tensor method scales exact MDP optimization linearly for infrastructure
Probabilistic Hazard Analysis Framework with Stochastic Optimal Control for Deteriorating Civil Infrastructure Systems
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Growth factor bounds for Higham matrices depend on condition number
Sharp condition-number bounds for growth factors of Higham matrices in Gaussian elimination
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Complex SGD converges under real assumptions
Complex Stochastic Gradient Descent and Directional Bias in Reproducing Kernel Hilbert Spaces
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Conformable derivatives stabilize fractional delay models
Delay Modeling with Conformable and Caputo Derivatives: Analytical and Computational Insights
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Factorization speeds up quantum Gibbs sampling without walks
Accelerating quantum Gibbs sampling without quantum walks
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Exact boundaries make Bardeen-Press simulations transparent at finite radii
Radiation outer boundary conditions and near-to-far field signal transformations for the Bardeen-Press equation
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Quadratic manifold extends Craig-Bampton to nonlinear substructuring
Craig-Bampton-based Quadratic Manifold for Nonlinear Substructuring
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Boundary-aware FFTs compute local stats on incomplete grids
Spectral-Domain Local Statistics with Missing-Data Support for Cartesian and Polar Grids
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J formalism computes potentials from conductor geometry
Electric potential of insulated conducting objects in presence of electric charges -- some exact and approximate results
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Preconditioning of a hybridizable discontinuous Galerkin method for the coupled…
Preconditioning of a hybridizable discontinuous Galerkin method for the coupled Stokes--Darcy system
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VEM gives optimal errors for Monge-Ampère approximation
Nonconforming virtual element method for the Monge-Amp\`ere equation
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Hybrid domain decomposition bounds error uniformly in stabilization parameter
On a Hybrid Mixed Domain Decomposition Method
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DOD-ROMs outperform POD for hybrid parabolic PDEs with error guarantees
A New Adaptive Deep Learning based Reduced Order Model for Hybrid-Type Parabolic PDEs: Rigorous Error Analysis and Applications
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Multiscale Maxwell solver works with meshes linear in 1/k
Numerical homogenization for indefinite time-harmonic Maxwell equations
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Mixed reality and live simulations track catheter-vessel contact
Catheter Monitoring in Intelligent Endovascular Navigation Systems: Interactive Simulations and Mixed Reality for Enhanced Navigational Awareness
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L1 discretization error bounded uniformly for Caputo derivative
Error of discretization of Caputo fractional derivative in weighted spaces
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Exponential decay of boundary influence holds in discrete elliptic FEM
A discrete Saint-Venant principle for finite element discretizations of elliptic problems
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Neural networks recover controls for nonlinear PDEs
Computational Control of Nonlinear Partial Differential Equations Using Machine Learning
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Bounded planes plus hinge-L1 distance resist outliers in k-clustering
Robust Fuzzy local k-plane clustering with mixture distance of hinge loss and L1 norm
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SBP-SAT method gives energy-stable fourth-order Navier-Stokes solutions
A high order accurate and energy stable continuous Galerkin framework on summation-by-parts form for the incompressible Navier-Stokes equations
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Data-driven reduction speeds fractional inverse problem solves
A data-driven model reduction approach for backward fractional diffusion-wave equations
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TransNet initialization extends finite expression method to high-dimensional PDEs
Finite Expression Method with TranNet-based Function Learning for High-Dimensional Partial Differential Equations
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2D Fourier continuation extends functions on cornered domains at O(N log N) cost
Two Dimensional Fourier Continuation for Domains with Corners
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SNGR flags and fixes SLAM windows where Gaussians break
SNGR: Selective Non-Gaussian Refinement for Ambiguous SLAM Factor Graphs
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A-priori bound derived for space-time POD error in linear PDEs
A-priori error estimation for space-time Galerkin POD for linear evolution problems
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Replica exchange MCMC crosses disconnected manifold components
A Replica Exchange Markov Chain Monte Carlo Method for Disconnected Implicit Manifolds via Tubular Relaxation
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Staggered scheme preserves exact divergence-free fields on unstructured meshes
A structure-preserving semi-implicit finite volume scheme on vertex-staggered unstructured meshes
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Nonconforming elements yield guaranteed inf-sup bounds
Guaranteed inf-sup bounds and existence verification for semilinear elliptic problems via nonconforming finite elements
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Adaptive nodes cut cost of non-Newtonian convection simulations
Meshless $h$-adaptive Solution for non-Newtonian Natural Convection in a Differentially Heated Cavity
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IPM utilities stabilize BOED against model and prior errors
Beyond Expected Information Gain: Stable Bayesian Optimal Experimental Design with Integral Probability Metrics and Plug-and-Play Extensions
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Reversible trajectories turn Koopman eigenfunctions into a multiplicative group
On the algebra of Koopman eigenfunctions and on some of their infinities
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Weighted spaces prove well-posedness for degenerate firn diffusion
Direct Problem for Gas Diffusion in Polar Firn with Variable Coefficients
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Drazin inverse formula for modified tensors via Einstein product
Formulae for the Drazin inverse of Modified Tensors via the Einstein Product
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McCormick V-cycle bound extends to nonsymmetric AMG
Norm-based convergence bounds for nonsymmetric algebraic V-cycle multigrid methods
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Reusable inverse decomposition speeds up time-dependent RTE solutions
Fast Algorithm For Solving Time-dependent Multiscale radiative transport Equation
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Stabilized finite elements localize transport errors
Local error estimates for a finite element method combining linear and nonlinear stabilization for the linear hyperbolic transport equation
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Stable discretization preserves asymptotic limit in kinetic transport
Stable and asymptotic preserving space-time discretizations of a linear kinetic transport equation in diffusive scaling
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HDG scheme achieves optimal L2 rates for convective Cahn-Hilliard
A superconvergent hybridizable discontinuous Galerkin method for the convective Cahn--Hilliard equation
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Truncated EM delivers segment convergence for super-linear SFDEs
Segment convergence for super-linear stochastic functional differential equations by the truncated Euler-Maruyama method
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Scheme preserves entropy production exactly in melt-flow simulations
Structure-preserving approximation for non-isothermal phase-field models in melt flow
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Optimal transfers minimize error norm in nonsymmetric two-grid methods
Optimal transfer operators for nonsymmetric two-grid methods
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New fluxes preserve positivity in DGSEM on curvilinear AMR meshes
Positivity-Preserving and Entropy-Stable Oscillation-Eliminating DGSEM for the Compressible Euler Equations on Curvilinear Meshes with Adaptive Mesh Refinement