Topic: agents
2,643 skills in this topic.
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nonlinear-solvers
Select and configure nonlinear solvers for root-finding f(x)=0, optimization min F(x), and least-squares problems — choose among Newton, Newton-Krylov, quasi-Newton (BFGS, L-BFGS), Broyden, Anderson acceleration, and Levenberg-Marquardt methods, configure line search or trust-region globalization, diagnose convergence rate (quadratic, linear, stagnated), and assess Jacobian quality and conditioning. Use when a Newton solver converges slowly or diverges, choosing between line search and trust region, debugging nonlinear iteration failures in FEM or phase-field codes, or selecting a solver for large-scale unconstrained optimization, even if the user only says "my Newton iterations aren't converging."
HeshamFS/materials-simulation-skills 29
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mesh-generation
Plan and evaluate mesh generation for numerical simulations — estimate grid resolution from physics scales (interface width, boundary layers, wavelengths), check aspect ratios and skewness against quality thresholds, choose between structured, unstructured, and adaptive mesh refinement strategies, and compute grid sizing for 1D/2D/3D domains. Use when setting up a new mesh, diagnosing poor solver convergence caused by mesh quality, deciding how many points to place across a phase-field interface or boundary layer, or preparing a mesh convergence study, even if the user only asks "what resolution do I need" or "why is my solver failing."
HeshamFS/materials-simulation-skills 29
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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
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arcanea-game-development
frankxai/arcanea 3
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arcanea-design-system
The complete Arcanean Design System - cosmic visual language, academy themes, component patterns, and design tokens for magical interfaces
frankxai/arcanea 3
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Design System Architecture
Build consistent, scalable design systems with proper token architecture
frankxai/arcanea 3
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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
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Development Workflows
Modern development process patterns for shipping faster with higher quality
frankxai/arcanea 3
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arcanea-scene-craft
Master scene construction - the building blocks of story. Openings that hook, middles that build, endings that propel. Turn every scene into a compelling unit of narrative.
frankxai/arcanea 3
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arcanea-performance-tuning
Master the art of making systems fast. Profiling, optimization, caching, and the wisdom to know when performance matters and when it doesn't. Measure twice, optimize once.
frankxai/arcanea 3
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Arcanea Design System
Complete visual design language for Arcanea - cosmic theme tokens, component patterns, animation standards, and Academy-specific aesthetics
frankxai/arcanea 3
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arcanea-world-build
The Arcanean World Architecture System - create internally consistent universes using the Seven Pillars framework, from geography to magic systems to cultures, ensuring rich worlds that feel lived-in
frankxai/arcanea 3
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next-best-practices
frankxai/arcanea 3
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Arcanea Creator Academy
The integration of Teacher Team with Arcanea's creator education mission
frankxai/arcanea 3
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arcanea-world-build
The Arcanean World Architecture System - create internally consistent universes using the Seven Pillars framework, from geography to magic systems to cultures, ensuring rich worlds that feel lived-in
frankxai/arcanea 3
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V3 DDD Architecture
Domain-Driven Design architecture for claude-flow v3. Implements modular, bounded context architecture with clean separation of concerns and microkernel pattern.
frankxai/arcanea 3
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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
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arcanea-code-review
Conduct thorough, constructive code reviews that improve code quality and team knowledge. Focuses on what matters - architecture, logic, security, maintainability - while avoiding bikeshedding.
frankxai/arcanea 3
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Arcanea Voice Guide
Brand voice and terminology guide for all Arcanea content - ensures consistent, magical communication across UI, marketing, and narrative
frankxai/arcanea 3
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arcanea-character-forge
Create living, breathing characters using the Arcanean Character System - psychological depth, authentic voice, compelling arcs, and the Character Diamond framework for protagonists, antagonists, and ensemble casts
frankxai/arcanea 3
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typescript-expert
frankxai/arcanea 3
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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
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arcanea-story-weave
Master narrative craft using the Arcanean Story System - structure, pacing, scene architecture, dialogue, and the art of weaving compelling stories that resonate with timeless human truths
frankxai/arcanea 3
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arcanea-skill-mastery
The meta-skill of using skills effectively. Learn when to invoke which skill, how to chain them together, and how to develop your own. Master the Arcanea skill system itself.
frankxai/arcanea 3