numerical-methods

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Neural Networks with Local Converging Inputs for Efficient Options Pricing Models

arXiv cs.LG · 2026-08-05 Cached

This paper introduces Neural Networks with Local Converging Inputs (NNLCI) to accelerate PDE-based option pricing, combining coarse and refined mesh solutions to reduce RMSE by 4–12x in multi-asset Black–Scholes and Heston models.

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#numerical-methods

Walk on Decomposed Subdomains

Hacker News Top · 2026-07-28 Cached

A technical blog post introducing Walk on Decomposed Subdomains (WODS), a grid-free Monte Carlo method for solving elliptic PDEs with complex geometries, contrasted with finite differences and finite elements.

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#numerical-methods

AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies

arXiv cs.AI · 2026-06-10 Cached

AutoPDE is a code agent that explicitly represents solver strategies for partial differential equations, improving pass rate by 14.2% over baselines on the PDE Agent Bench.

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Approximating Hyperbolic Tangent

Hacker News Top · 2026-04-22 Cached

Blog post surveys fast hyperbolic tangent approximations—Taylor, Padé, splines, and bit-level tricks—for neural-network and real-time audio use.

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