A Stoner-inspired preconditioner based on non-interacting susceptibility that neglects orbital variations reduces SCF iterations in magnetic KS-DFT near phase transitions.
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Gmres: A generalized minimal residual algorithm for solving nonsymmetric linear systems
13 Pith papers cite this work. Polarity classification is still indexing.
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Diffusion-based generative emulators enable training-free optimal particle filtering that scales Bayesian state estimation to high-dimensional nonlinear chaotic systems including atmospheric dynamics.
A plug-and-play differentiable model bridging ray and wave optics for hybrid systems that enables end-to-end optimization of planar and conformal diffractive elements.
Forward-mode automatic differentiation replaces finite-difference approximations for Jacobian-vector products in JFNK solvers, delivering 2-3 orders of magnitude speedup and lifting minimum solver completion from 42% to 95% across Burgers, radiation diffusion, reaction-diffusion, and nonlinear time-
NSPOD is a multigrid-like preconditioner using DeepONet-learned POD subspaces that dramatically cuts Krylov solver iterations for solid mechanics PDEs on unstructured CAD geometries, outperforming algebraic multigrid.
A JAX-based differentiable BEM solver matches traditional BEM accuracy on benchmarks and supports gradient-driven acoustic geometry optimization.
Two generalizations of reduced rank extrapolation are derived for low-rank matrix sequences and iteration-dependent mapping functions, with numerical tests on Lyapunov and Riccati equations.
MUDRA extends FLDA to multivariate time series with missing data via an ECM algorithm and shows improved classification over prior methods on the Articulary Word Recognition dataset.
An analytic continuation method builds Bethe-Salpeter spectra in selected energy ranges from polarizability tensors sampled at a few complex frequencies via matrix-valued continued fractions.
A new preparedness metric for ambulance fleet operations under uncertainty enables optimized selection and reassignment decisions and outperforms nine existing methods on real emergency medical service data.
Low-rank structure in HBVM stage equations is exploited via Krylov projection for linear cases and Newton-Krylov with adaptive time-stepping for nonlinear cases, shown efficient on semi-discretized wave equations.
Integrating RACE into Trilinos applies algebraic temporal blocking to MPK in s-step GMRES, polynomial preconditioners, and AMG, yielding up to 3x speedups on multi-core CPUs for MPK-dominated algorithms.
This is an introductory review of the linear algebraic subproblems and contemporary solvers in variational data assimilation for geophysical applications.
citing papers explorer
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Preconditioning Magnetic Systems in Kohn-Sham Density Functional Theory
A Stoner-inspired preconditioner based on non-interacting susceptibility that neglects orbital variations reduces SCF iterations in magnetic KS-DFT near phase transitions.
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Training-Free Bayesian Filtering with Generative Emulators
Diffusion-based generative emulators enable training-free optimal particle filtering that scales Bayesian state estimation to high-dimensional nonlinear chaotic systems including atmospheric dynamics.
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A General Differentiable Ray-Wave Framework for Hybrid Refractive-Diffractive System Modeling and Optimization
A plug-and-play differentiable model bridging ray and wave optics for hybrid systems that enables end-to-end optimization of planar and conformal diffractive elements.
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Robust Matrix-Free Newton-Krylov Solvers via Automatic Differentiation
Forward-mode automatic differentiation replaces finite-difference approximations for Jacobian-vector products in JFNK solvers, delivering 2-3 orders of magnitude speedup and lifting minimum solver completion from 42% to 95% across Burgers, radiation diffusion, reaction-diffusion, and nonlinear time-
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NSPOD: Accelerating Krylov solvers via DeepONet-learned POD subspaces
NSPOD is a multigrid-like preconditioner using DeepONet-learned POD subspaces that dramatically cuts Krylov solver iterations for solid mechanics PDEs on unstructured CAD geometries, outperforming algebraic multigrid.
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JAX-BEM: Gradient-Based Acoustic Shape Optimisation via a Differentiable Boundary Element Method
A JAX-based differentiable BEM solver matches traditional BEM accuracy on benchmarks and supports gradient-driven acoustic geometry optimization.
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Generalizing Reduced Rank Extrapolation to Low-Rank Matrix Sequences
Two generalizations of reduced rank extrapolation are derived for low-rank matrix sequences and iteration-dependent mapping functions, with numerical tests on Lyapunov and Riccati equations.
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Multivariate Functional Linear Discriminant Analysis for the Classification of Short Time Series with Missing Data
MUDRA extends FLDA to multivariate time series with missing data via an ECM algorithm and shows improved classification over prior methods on the Articulary Word Recognition dataset.
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Efficient analytic continuation approach to Bethe-Salpeter excitation spectra in selected energy windows
An analytic continuation method builds Bethe-Salpeter spectra in selected energy ranges from polarizability tensors sampled at a few complex frequencies via matrix-valued continued fractions.
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Policies for the Operation of an Ambulance Fleet under Uncertainty based on a New Preparedness Metric
A new preparedness metric for ambulance fleet operations under uncertainty enables optimized selection and reassignment decisions and outperforms nine existing methods on real emergency medical service data.
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Low-Rank Solvers for Energy-Conserving Hamiltonian Boundary Value Methods
Low-rank structure in HBVM stage equations is exploited via Krylov projection for linear cases and Newton-Krylov with adaptive time-stepping for nonlinear cases, shown efficient on semi-discretized wave equations.
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Algebraic Temporal Blocking for Sparse Iterative Solvers on Multi-Core CPUs
Integrating RACE into Trilinos applies algebraic temporal blocking to MPK in s-step GMRES, polynomial preconditioners, and AMG, yielding up to 3x speedups on multi-core CPUs for MPK-dominated algorithms.
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An Introduction to Solving the Least-Squares Problem in Variational Data Assimilation
This is an introductory review of the linear algebraic subproblems and contemporary solvers in variational data assimilation for geophysical applications.