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Every paper Pith has read. Search by title, abstract, or pith.
687 papers in math.NA · page 1
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Method ensures one-to-one branch match in viscoelastic dispersion curves
Adaptive homotopy continuation for robust dispersion curve computation in viscoelastic waveguides: guaranteed branch identity continuity
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Spline dimension hits Schumaker lower bound on special rectilinear partitions
Dimension Calculation for Spline Spaces over Rectilinear Partitions via Smoothing Cofactor Method
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Strang splitting yields poroelastic reciprocity near machine precision
Verification of reciprocity in anisotropic poroelastic wave simulation using symmetric Strang splitting
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Unified GPU solver gives exact gradients for stiff heterogeneous soft bodies
DiffPhD: A Unified Differentiable Solver for Projective Heterogeneous Materials in Elastodynamics with Contact-Rich GPU-Acceleration
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ReLU networks double P1 FEM rates for singular perturbations
Neural Networks for Singular Perturbations -- Finite Regularity
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3D solver models fluid-driven slip and tensile ruptures together
Three dimensional simulation of fluid-driven frictional and tensile ruptures on existing discontinuities
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Optimal rate O(k^{2/(1-q)}) holds for any ℓ_p norm
Convergence Rates for $\ell_p$ Norm Minimization in Convex Vector Optimization
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Adaptive metrics boost convergence in vector optimization approximation
Adaptive Metrics for Norm-Minimization-Based Outer Approximation in Convex Vector Optimization
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Wavelets serve as eigenfunctions for Koopman analysis
Wavelet-Based Observables for Koopman Analysis: An Extended Dynamic Mode Decomposition Framework
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Double saddle-point systems split into two block structures
Classification of Double Saddle-Point Systems
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Adaptive time steps enforce energy balance in port-Hamiltonian DAEs
Goal-Oriented Time Adaptivity for Linear Port-Hamiltonian Differential-Algebraic Equations of Index~1
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The ℓFEM package offers a loop-free MATLAB implementation of isoparametric finite…
$\ell$FEM: An efficient loop-free Matlab implementation of isoparametric bulk and surface finite elements
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Elastica++ is a new open-source software framework for fast
Elastica++: A high-performance, multiphysics framework for large interacting assemblies of Cosserat rods
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Multigrid and neural networks reduce phi-FEM costs
A multigrid and neural network approach to reduce the computational cost of phi-FEM
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Filtered noise model for Fourier modes captures tracer diffusion in turbulence
Stochastic modeling of Fourier modes in two-dimensional turbulence via filtered white noise
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Sticky CIR process has unique mixed invariant measure
Sticky CIR process with potential: invariant measure and exact sampling
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M3C converges to critical points for hyperparameter estimation
A Majorization-Minimization with Monte Carlo Approach for Hyperparameter Estimation
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Layered weights isolate first-front ascent in multiobjective sets
Nonsmooth Set-Gradient Ascent to the Pareto Front via Layered Hypervolume and Magnitude Indicators
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CUR local error filters perturbations invisible to selected rows and columns
Revisiting CUR Perturbation Analysis: A Local Tangent-Space Expansion
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Galerkin linear elements deliver sharp rates for discrete fractional Sobolev constant
Galerkin Approximation of the Fractional Sobolev Constant
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Transformer preconditioner speeds stiff physics 28x
Hierarchical Transformer Preconditioning for Interactive Physics Simulation
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Hierarchical transformer preconditioner reaches 21 fps on stiff Poisson systems
Hierarchical Transformer Preconditioning for Interactive Physics Simulation
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Error bounds for multi-patch isogeometric spaces stay independent of spline degree p
Robust approximation error estimates for analysis-suitable $G^1$ isogeometric multi-patch discretizations
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ViT-K keeps prediction errors linear in coupled fluid flows
ViT-K: A Few-Shot Learning Model for Coupled Fluid-Porous Media Flows with Interface Conditions
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Adaptive heavy ball iteration converges almost surely with random-equation updates
On a posteriori stopping rules of adaptive stochastic heavy ball method for ill-posed problems
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Hybrid operator fits sphere data exactly at some nodes and regresses at others
Polynomial interpolation--regression on the sphere
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Hypernetwork learns WENO weights from coarse data for conservation laws
Hypernetwork-Conditioned WENO5 Conservative-Form CNNs for One-Dimensional Conservation Laws
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Exact conservation excludes dissipative Euler solutions
Exact conservation and the Onsager threshold: a discrete exterior calculus theory for incompressible Navier--Stokes
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Adaptive per-point mask lifts neural PDE accuracy on sharp features
U-HNO: A U-shaped Hybrid Neural Operator with Sparse-Point Adaptive Routing for Non-stationary PDE Dynamics
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MTI-FP achieves uniform accuracy for KGS in nonrelativistic limit
A Uniformly Accurate Multiscale Time Integrator for the Klein-Gordon-Schr\"odinger Equations in the Nonrelativistic Regime via Simplified Transmission Conditions
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NPDo method computes tensor block-diagonalization with global convergence
An NPDo Approach for Tensor Block-Diagonalization
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Transported acoustic increments remove split error in Active Flux for Euler
Fully Discrete Active Flux Method based on Transported Acoustic Increments for the Compressible Euler Equations
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Refined projection removes spurious Ritz values without tuning
A refined CJ--SS--RR method with a reliable removal approach of spurious Ritz values for the Hermitian eigenvalue problem
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Array-RQMC cuts walk-on-spheres variance by up to 2290 times
Walk on spheres and Array-RQMC
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Quadratic models gain fully linear error bounds without Hessian bounds
Accuracy and Relationships of Quadratic Models in Derivative-free Optimization
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Forward-only Lanczos reuse yields stable gradients for Hermitian bilinear forms
Fast and Stable Gradient Approximation for Bilinear Forms of Hermitian Matrix Functions
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Non-symmetric Green's kernels deliver optimal rates for fractional DEs
Approximations with Non-Symmetric Green's Kernels and their Application to Fractional Differential Equations
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Cross-domain interactions decouple neural operator resolutions
UFO: A Domain-Unification-Free Operator Framework for Generalized Operator Learning
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LS weak Galerkin method achieves optimal H2 error estimates
A Least-Squares Weak Galerkin Method for Second-Order Elliptic Equations in Non-Divergence Form
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New sampling method sizes clamped obstacles from one wave
Novel implementation of the extended sampling method for inverse biharmonic scattering
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Complex coupling reconstructs unknown Robin boundaries
Cavity shape reconstruction with a homogeneous Robin condition via a constrained coupled complex boundary method with ADMM
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Complex boundary method recovers Robin cavities from one Cauchy pair
Cavity shape reconstruction with a homogeneous Robin condition via a constrained coupled complex boundary method with ADMM
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Stochastic line-search method speeds 3D CT reconstruction
A Line--Search--Based Stochastic Gradient Method for 3D Computed Tomography
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Mass lumping produces intrinsic fractional box discretization
Finite element and box-method discretizations for fractional elliptic problems with quadrature and mass lumping
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Semismooth* Newton method speeds up TV regularization for large tomography problems
Efficient TV regularization of large-scale linear inverse problems via the SCD semismooth* Newton method with applications in tomography
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New algorithm avoids invalid material mixtures during optimization
The SiMPL Method for Multi-Material Topology Optimization
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Bregman penalty keeps multi-material designs feasible at every point
The SiMPL Method for Multi-Material Topology Optimization
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Optimized two-step propagator cuts parareal convergence factor to 0.0064
Optimized Two-Step Coarse Propagators in Parareal Algorithms
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Block-coupled method stabilizes polymer mixing simulations in extruders
A Volume of Fluid Immersed Boundary Method for Industrial Polymer Mixing
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Bisection collapses all triangles to right triangles in one step
Dynamics of the Longest-Edge Altitude Bisection Algorithm