Numerical Methods

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AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies

馃幆AI AgentsContent type: Academic
arxiv.org

A higher order numerical method for singularly perturbed elliptic problems with characteristic boundary layers

馃LLMContent type: Academic
arxiv.org

Arbitrary high order shaped stencils for time domain finite difference schemes in seismic wave propagation

鈿欙笍Program SynthesisContent type: Academic
arxiv.org

Evaluating Operators for Acoustic Wave Simulation Correction

馃敩Formal MethodsContent type: Academic
arxiv.org

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities

馃敩eBPFContent type: Academic
arxiv.org

Stable and Scalable Probabilistic Numerical Solvers for Stiff and High-Dimensional ODEs

馃LLM InferenceContent type: Academic
arxiv.org

Conformal Prediction for Neural Operators: Distribution-Free Uncertainty Quantification in Physics Simulation

馃LLM InferenceContent type: Academic
arxiv.org

Overcoming the Limits of Finite Difference Method; Physics-Informed Neural Network for Noisy High-Dimensional Heat Diffusion

馃帹Generative AIContent type: Academic
arxiv.org

Optimizing Irreversible Perturbations of the Unadjusted Langevin Algorithm

馃幉Bayesian InferenceContent type: Academic
arxiv.org

A space-time sparse-grid method for the wave equation

馃幉Procedural GenerationContent type: Academic
arxiv.org

Justification and structure- and asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation

馃幉Procedural GenerationContent type: Academic
arxiv.org

A decoupled energy-stable mixed finite element method for Poisson-Nernst-Planck-Navier-Stokes equations

馃敘Homomorphic EncryptionContent type: Academic
arxiv.org

A Divergence-Free Scott-Vogelius Finite Element Method for the Surface Stokes Problem

馃敘Homomorphic EncryptionContent type: Academic
arxiv.org

Boundary-compatible interacting approximations of quasilinear PDEs on bounded domains

馃敩eBPFContent type: Academic
arxiv.org

Novel physical property preserved methods for stochastic Schr\"{o}dinger--KdV equation

馃敩eBPFContent type: Academic
arxiv.org

MPC for nonlinear systems: a comparative review of discretization methods

馃幃Reinforcement LearningContent type: Academic
arxiv.org

An Energy-Stable Implicit Convex-Splitting BDF2 Scheme for the Cahn-Hilliard-Navier-Stokes Equations

馃敘Homomorphic EncryptionContent type: Academic
arxiv.org

Second-order bulk-surface splitting for the wave equation with kinetic boundary conditions

馃敩eBPFContent type: Academic
arxiv.org

Numerical Approximation of the stochastic Cahn--Hilliard equation with singular potential

馃幉Bayesian InferenceContent type: Academic
arxiv.org

Exponential Time Differencing Schemes for a Phase-Field Model of Multicomponent Membranes

馃摗DSPContent type: Academic
arxiv.org

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