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Every paper Pith has read. Search by title, abstract, or pith.
1525 papers in math.NA · page 15
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Proximal NCG method converges globally for composite problems
Proximal Nonlinear Conjugate Gradient Methods for Composite Optimization
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RAPRAL solver predicts radiative heat flux in hypersonic reentry
RAPRAL v1.0: RAdiation Prediction using RAy tracing and Line-by-line methods for hypersonic air flows
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Truncated FEM converges strongly for SPDEs on infinite graphs
A regularized truncated finite element method for degenerate parabolic stochastic PDE on non-compact graph
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Fractal tiling lets DG method solve Poisson problem on exact Koch snowflake
A discontinuous Galerkin method with fractal elements
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Adaptive Laguerre method reaches 10^{-10} accuracy on radial Dirac equation
An Adaptive Log-Laguerre Spectral Method for the Radial Dirac Equation: Resolving Asymptotic Decay and Core Singularities in Atomic Calculations
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First explicit error bounds for Adini method on fourth-order equations
Convergence Analysis of the Hessian Discretisation Method for Fourth Order Semi-linear Elliptic Equations with General Source
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Anisotropic sparse grids raise kernel interpolation rates
Asymptotic and pre-asymptotic convergence of sparse grids for anisotropic kernel interpolation
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DPG method for circular arches achieves optimal convergence
A DPG method for the circular arch problem
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Diffusion enhancement yields local well-posedness for NSCH-Oldroyd system
Local Well-Posedness of a Modified NSCH-Oldroyd System: PINN-Based Numerical Computation
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Added diffusion yields local well-posedness for NSCH-Oldroyd model
Local Well-Posedness of a Modified NSCH-Oldroyd System: PINN-Based Numerical Computation
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Conformal FEM solves multidimensional nonlinear breakage equations
A High-Order Conformal FEM for Multidimensional Nonlinear Collisional Breakage Equations: Analysis and Computation
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Nitsche's method stabilizes hp FE/BE coupling on non-matching meshes
Nonconforming $hp$-FE/BE coupling on unstructured meshes based on Nitsche's method
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Domains are LQDs exactly when Riemann map outer factor is exp of rational
Analysis of Log-Weighted Quadrature Domains
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Learning derivatives first cuts PINN errors by 100-200x on time PDEs
Learning on the Temporal Tangent Bundle for Physics-Informed Neural Networks
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OSI sketches fail to give relative-error guarantees
Oblivious Subspace Injection Is Not Enough for Relative Error
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Policy iteration converges geometrically on fixed meshes for discounted HJB
Policy Iteration for Stationary Discounted Hamilton--Jacobi--Bellman Equations: A Viscosity Approach
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Scheme achieves uniform second-order errors in strong magnetic fields
Improved error estimates of a new splitting scheme for charged-particle dynamics in strong magnetic field with maximal ordering
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Stability estimate enables numerical solver for moment measure problem
Quantitative Stability and Numerical Resolution of the Moment Measure Problem
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Randomized Kaczmarz reaches O(1/t^{3/4}) last-iterate rate
Last-Iterate Convergence of Randomized Kaczmarz and SGD with Greedy Step Size
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ProxiCBO guarantees convergence on non-convex composite problems
ProxiCBO: A Provably Convergent Consensus-Based Method for Composite Optimization
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Continuous limiter variation sharpens Euler simulations
New Scheme Adaption Strategy for Hyperbolic Conservation Laws
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Particle methods stay accurate in stiff plasma collisions
Asymptotic-preserving deterministic particle methods for collisional plasma models
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Reminiscences show Godunov's ideas reaching across sciences
Reminiscences of S. K. Godunov. The Russian Mathematician
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Low-dimensional cones reduce parametrized optimal transport to small linear programs
A reduced-order model for parametrized Optimal Transport problems
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Natural gradients speed functional tensor network training
Natural Riemannian gradient for learning functional tensor networks
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Boundary stencils restore full RK order for time-dependent hyperbolic boundaries
Restoring Convergence Order in Explicit Runge-Kutta Integration of Hyperbolic PDE with Time-Dependent Boundary Conditions
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Hybrid matrices cut storage by 11x with low-precision blocks
Hybrid hierarchical matrices with adaptive mixed precision storage
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BDDC solver with ROM handles 17k-cell lattices in 30 seconds
A ROM-based BDDC solver for unfitted p-FEM level-set-based lattice structures
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Dynamic model simulates PSA nitrogen production for power-to-ammonia
Modeling and Simulation of Nitrogen Generation by Pressure Swing Adsorption for Power-to-Ammonia
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Unfitted elements solve shape optimization via gradient flow
An unfitted finite element method for PDE-constrained shape optimization via shape gradient flow
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Randomized nets tie sampling domain size to smoothness for best rates
Adaptive Randomized Neural Networks with Locally Activation Function: Theory and Algorithm for Solving PDEs
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Method scales sensor optimization to billion-DOF tsunami models on GPUs
Sensor Placement for Tsunami Early Warning via Large-Scale Bayesian Optimal Experimental Design
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Plane-wave test reduces Wigner potential to finite difference
Weak Adversarial Neural Pushforward Method for the Wigner Transport Equation
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Rigorous proofs confirm localized and periodic patterns in Thomas model
Proving the existence of localized patterns, periodic solutions, and branches of periodic solutions in the 1D Thomas model
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Merged h-γ blossoming yields new bases for non-polynomial curves
$h$-$\gamma$ Blossoming, $h$-$\gamma$ Bernstein Bases, and $h$-$\gamma$ B\'{e}zier Curves for Translation Invariant $\left(\gamma_{1},\gamma_{2}\right)$ Spaces
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Hard-constrained PINNs enforce interface conditions by design
Hard-constrained Physics-informed Neural Networks for Interface Problems
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Hard-constrained PINNs enforce interface conditions by design
Hard-constrained Physics-informed Neural Networks for Interface Problems
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Koopman-von Neumann operator projects to quantum circuits
Numerical approximation of the Koopman-von Neumann equation: Operator learning and quantum computing
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Advection-aware bases enable larger steps in 3D multiscale transport
Meshfree GMsFEM-based exponential integration for multiscale 3D advection-diffusion problems
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Entropic JKO scheme converges to PDE with rate
A convergence rate for the entropic JKO scheme
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Duality closes rate gap for dG in convex minimization
Local discontinuous Galerkin FEM for convex minimization
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Scheme for charge dynamics preserves mass
Five-Structures Preserving Algorithm for charge dynamics model
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Neural nets turn Basset force into standard ODEs for particles
Approximation of the Basset force in the Maxey-Riley-Gatignol equations via universal differential equations
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Generalized Hopf formula yields dual bounds for stochastic control
Dual Approaches to Stochastic Control via SPDEs and the Pathwise Hopf Formula
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Multilevel Monte Carlo with virtual elements cuts PDE uncertainty costs
A Multilevel Monte Carlo Virtual Element Method for Uncertainty Quantification of Elliptic Partial Differential Equations
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Neural nets bound high-dimensional switching values without curse of dimensionality
Duality and DeepMartingale for High-Dimensional Optimal Switching: Computable Upper Bounds and Approximation-Expressivity Guarantees
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Neural network preserves helicity in non-Newtonian flows
A Helicity-Conservative Domain-Decomposed Physics-Informed Neural Network for Incompressible Non-Newtonian Flow
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Bayesian reconstruction cuts bathymetry error below adjoint optimization
Bathymetry Reconstruction by Bayesian Inference
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FEM reaches optimal accuracy for multidimensional fragmentation
Error Analysis of a Conforming FEM for Multidimensional Fragmentation Equations