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Topic: agents

2,643 skills in this topic.

linear-solvers Select and configure linear solvers for Ax=b systems arising in numerical simulations — choose between direct (LU, Cholesky) and iterative (CG, GMRES, BiCGSTAB, MINRES) methods, analyze sparsity patterns and matrix conditioning, recommend preconditioners (AMG, ILU, IC), apply row/column scaling, and diagnose convergence stagnation from residual histories. Use when setting up a linear solve for FEM/FVM assembly, debugging slow or stalled Krylov iterations, choosing a preconditioner for SPD or nonsymmetric systems, or investigating ill-conditioning, even if the user only says "my solver is slow" or "GMRES won't converge."
HeshamFS/materials-simulation-skills 29
differentiation-schemes Select and apply numerical differentiation schemes for PDE and ODE discretization — generate finite-difference stencils at arbitrary order and accuracy, choose between central, upwind, compact (Pade), and spectral methods, handle boundary stencils, and estimate truncation error scaling. Use when discretizing spatial derivatives, picking a scheme for advection- or diffusion-dominated problems, building custom stencils for nonstandard operators, or comparing dispersion and dissipation properties of candidate schemes, even if the user just says "how do I approximate this derivative" or "my solution is too diffusive."
HeshamFS/materials-simulation-skills 29
convergence-study Perform spatial and temporal convergence analysis for solution verification — compute observed convergence orders from grid or timestep refinement studies, apply Richardson extrapolation to estimate discretization error, and calculate the Grid Convergence Index (GCI) per ASME V&V 20 standards. Use when verifying that a numerical solution converges at the expected rate, estimating the error on the finest mesh, checking whether grids are in the asymptotic range, or preparing formal verification reports, even if the user only asks "is my mesh fine enough" or "how accurate is my solution."
HeshamFS/materials-simulation-skills 29
Arcanea Lore Master Maintains consistency in Arcanea world-building, including academy systems, magical mechanics, character lore, and narrative coherence across the fantasy multiverse platform
frankxai/arcanea 3
Arcanea Design System Complete visual design language for Arcanea - cosmic theme tokens, component patterns, animation standards, and Academy-specific aesthetics
frankxai/arcanea 3
Arcanea Creator Academy The integration of Teacher Team with Arcanea's creator education mission
frankxai/arcanea 3
Arcanea Canon Guardian Canon consistency enforcement for Arcanea universe - tracks facts, prevents contradictions, maintains timeline, ensures lore integrity
frankxai/arcanea 3
arcanea-game-development
frankxai/arcanea 3
Arcanea Voice Guide Brand voice and terminology guide for all Arcanea content - ensures consistent, magical communication across UI, marketing, and narrative
frankxai/arcanea 3
Design System Architecture Build consistent, scalable design systems with proper token architecture
frankxai/arcanea 3
Creative Writing Frameworks Story structure, voice development, and narrative craft for AI-assisted writing
frankxai/arcanea 3
Agent Orchestration Patterns Multi-agent coordination patterns for building effective AI teams
frankxai/arcanea 3
arcanea-prompt-craft Master the Arcanean Prompt Language - advanced prompt engineering using mythological frameworks, constraint architecture, and the Centaur Principle for human-AI co-creation
frankxai/arcanea 3
premium-visual
frankxai/arcanea 3
arcanea-luminor-wisdom Channel the Seven Luminors - archetypal guides for creative challenges including Valora (courage), Sophron (wisdom), Kardia (heart), Poiesis (creation), Enduran (endurance), Orakis (vision), and Eudaira (joy)
frankxai/arcanea 3
arcanea-luminor-rituals Sacred practices for invoking and channeling the Seven Luminors. Daily rituals, crisis protocols, and celebration ceremonies for the creative life.
frankxai/arcanea 3
arcanea-design-system The complete Arcanean Design System - cosmic visual language, academy themes, component patterns, and design tokens for magical interfaces
frankxai/arcanea 3
arcanea-centaur-mode Advanced human-AI co-creation methodology - the Centaur Principle in practice. Master the art of combining human creativity with AI capability for results neither could achieve alone.
frankxai/arcanea 3
arcanea-bestiary-nav Navigate creative blocks using the Arcanean Bestiary - a taxonomy of psychological obstacles every creator faces, with naming rituals and navigation protocols for each creature type
frankxai/arcanea 3
Testing Strategies Comprehensive testing approaches for reliable software
frankxai/arcanea 3
Documentation Patterns Technical writing frameworks for clear, maintainable documentation
frankxai/arcanea 3
Development Workflows Modern development process patterns for shipping faster with higher quality
frankxai/arcanea 3
arcanea-revision-ritual Transform rough drafts into polished work through systematic revision. Multiple passes, specific focus, and the discipline to kill your darlings. The alchemical process of making good work great.
frankxai/arcanea 3
arcanea-dialogue-mastery Master the art of dialogue - subtext, voice differentiation, conflict in conversation, and the unspoken that speaks loudest. Turn flat exchanges into crackling scenes.
frankxai/arcanea 3