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Every paper Pith has read. Search by title, abstract, or pith.
1525 papers in math.NA · page 10
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Proximal Galerkin enforces bounds in phase-field fracture
Proximal Galerkin for Phase Field Fracture
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The paper develops a state-dependent Lyapunov framework that uses a parameterized…
State-Dependent Lyapunov Analysis of Rank-1 Matrix Factorization
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Dual finite-volume method solves shallow water equations across regimes
An Asymptotic-Preserving Dual Formulation Finite-Volume Method for the Thermal Rotating Shallow Water Equations
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The paper develops a new asymptotic-preserving finite-volume method for the compressible…
A New Asymptotic-Preserving Dual Formulation Finite-Volume Method for the Compressible Euler Equations
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Weak greedy algorithms converge on dictionary octahedrons
On weak greedy algorithms
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Integrator keeps coadjoint orbits exact under double-bracket dissipation
Discrete variational calculus for double-bracket dissipation
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Boundary elements solve Smoluchowski equation for rheological quantities
Efficient boundary elements for the Smoluchowski diffusion equation
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Quantum subroutine solves linear PDEs by encoding Fourier filters
A Quantum Spectral Framework for Solving PDEs
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Exponential approximation localizes memory in porous flow homogenization
Computational homogenization of unsteady flows in a periodic porous medium
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Splitting AVF yields smooth first-order PDF for generalized Langevin eqs
Splitting AVF method for generalized Langevin equations: probability density function and geometric ergodicity
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Krylov solvability in Banach spaces blocked by missing complements
Some results on Krylov solvability in Banach space and connections to spectral theory
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Resolvent holomorphy links Krylov solvability in Banach spaces
Some results on Krylov solvability in Banach space and connections to spectral theory
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Implicit splitting removes stiffness CFL limits in two-phase DG flow simulations
A bound-preserving oscillation-eliminating discontinuous Galerkin scheme for compressible two-phase flow
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Cordès condition stabilizes PINNs for non-divergence PDEs
C-PINN: A neural network framework based on the Cord\`{e}s condition for solving linear and fully nonlinear equations in non-divergence form and its applications
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Minimum-enstrophy states are stable on rotating spheres with topography
Minimum-enstrophy solutions in topographic quasi-geostrophic flow on the rotating sphere
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Direct sampling reconstructs inhomogeneities quantitatively
A quantitative direct sampling method for inhomogeneities from multi-frequency backscattering measurements
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Thickness-dependent energy adds wetting to dewetting models
A sharp-interface model for solid-state dewetting with wetting potential
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Discrete random features advance nonlinear PDEs with third-order IMEX steps
A Discrete-Time Random Feature Method for Nonlinear Evolution Equations with Implicit-Explicit Runge--Kutta Time Stepping
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Variable transforms yield stable spectral tools for fractional integrals
Fractional calculus via variable-transform-based spectral approximations
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Discretized Riccati equations converge at order one in time and two in space
Convergence analysis of a full discretization of operator-valued differential Riccati equations
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ZO methods match FO convergence rates via stability
From Cursed to Competitive: Closing the ZO-FO Gap via Input-to-State Stability
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Sign embedding yields linear-query encodings for Sylvester solutions
Sign Embedding Quantum Algorithms for Matrix Equations and Matrix Functions
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Variational proof and FEM yield convergent scheme for transient induction heating
Numerical approximation of a transient thermo-electromagnetic problem in axisymmetric geometries
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Ensemble smoother infers causality from future observations
A Continuous-Time Ensemble Kalman-Bucy Smoother for Causal Inference and Model Discovery
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Encoded FBSNN solves high-dimensional BSDEs more efficiently
Encoded Forward Backward Stochastic Neural Network for High-Dimensional Backward Stochastic Differential Equations and Parabolic Partial Differential Equations
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Stochastic Galerkin method delivers O(h) H1 convergence for random obstacle problems
Numerical Analysis of Stochastic Elliptic Variational Inequalities of the First Kind
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Residual estimators bound errors for enriched Galerkin parabolic solutions
A Posteriori Error Estimation for Parabolic Equations with Enriched Galerkin Finite Element Methods
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Coupled regional fractional Laplacians have unique energy minimizer
A nonlocal coupled system: analysis and discretization
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Cylindrical projections converge strongly to occupied diffusions
Cylindrical Projections of Occupied Diffusions
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Math roadmap links data to artery stress for digital twins
Digital Twins in Coronary Artery Disease: A Mathematical Roadmap
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Mixed operator bounds cubature on ellipse
A mixed interpolation-regression method for numerical integration on some planar domains
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Convergence shown for nonlinear poroelastic flow approximation
Error analysis for the approximation of a flow in deformable porous media with nonlinear strain-stress relation
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First-order bias bounds for stochastic gradient Langevin
Theoretical guarantees for stochastic gradient sampling methods via Gaussian convolution inequalities
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Correction enables two-grid FEM for indefinite elliptic problems
A correction adaptive two-grid finite element method for nonselfadjoint or indefinite elliptic problems
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Cross-section scaling speeds MF-PINN training for neutron diffusion
On Physics-Based Loss Scaling for MF-PINNs applied to the neutron diffusion equation
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Tamed Euler scheme converges strongly for superlinear Lévy SDEs
Strong convergence and temporal-spatial regularity for tamed Euler approximations of L\'evy-driven SDEs
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Quantum integration costs O(1/ε) for linear-angle integrands
On the complexity of quantum numerical integration: an angle-structure characterization
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Kernel embedding solves continuum optimal transport without meshes
Continuum-marginal optimal transport: a mesh-free kernel method
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Hankel matrices simplify random digital nets for QMC
Quasi-Monte Carlo with a Hankel random digital net
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Complex n-by-2 matrices always contain a 2-by-2 submatrix with bounded inverse
Submatrices with the best-bounded inverses: an asymptotically tight upper bound for $\mathbb{C}^{n \times 2}$
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MHD energy evolution depends on variable fractional orders at fixed Reynolds
Numerical Analysis of a Variable-Order Time-Fractional Incompressible Magnetohydrodynamics System
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The paper introduces Adaptive-Distribution Randomized Neural Networks (AD-RaNN) that…
Adaptive-Distribution Randomized Neural Networks for PDEs: A Low-Dimensional Distribution-Learning Framework
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Nodal DG scheme achieves positivity
A positivity preserving and entropy stable nodal discontinuous Galerkin scheme for ideal MHD equations
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Shallow water scheme drops penalization while keeping accuracy
Asymptotic preserving scheme for the shallow water equations with non-flat bottom topography and Manning friction term
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Interface conditions stabilize evaporation models for two-phase flows
A well posed and stable canonical evaporation model problem for phase-change in two-phase flows
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Realigned POD modes cut parametric ROM cost while keeping accuracy
Mode-realigned pointwise interpolation (MRPWI) for efficient POD-Galerkin parametric reduced-order models
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Conformal maps turn tube surfaces into 3D tubes and tori
Conformal tubular parameterization and toroidal bending of tube-like surfaces
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The paper proposes a residual-based a posteriori error estimator for the incompressible…
A robust a posteriori error estimator for the Oseen problem
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New flow matching cuts 3D aero errors to 0.0215 RRMSE
GeoFunFlow-3D: A Physics-Guided Generative Flow Matching Framework for High-Fidelity 3D Aerodynamic Inference over Complex Geometries
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Generalized Gauss-Lobatto rules minimize SBP operator size
Summation-by-parts operators for general function spaces: optimal nodes