Nonlinear Solvers

Q: What is a Claude Code skill and how does the Nonlinear Solvers skill fit in?

A Claude Code skill is a SKILL.md file that lives under ~/.claude/skills/<name>/ and tells the Claude Code CLI agent how to perform a specific task (instructions, prompts, allowed tools). Skills are auto-discovered at session start. Nonlinear Solvers is one of 67,000+ skills indexed in the open ClaudSkills catalog, classified under the Dev Tools category. Learn more at https://claudskills.com/learn/what-is-skill-md/.

Category: Dev Tools · Sub-category: tools-misc · Last updated: 2026-05-21

lang:rust type:debug

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."

About this skill (catalog notes)

Nonlinear Solvers includes pricing or quota commentary; at least one code block. The SKILL.md runs to about 1,146 words, in the catalog's typical mid-range.

Original author: FreedomIntelligence
Indexed lastmod: 2026-05-21
Catalog position: Dev Tools · tools-misc
Indexed related skills: 10

How Nonlinear Solvers fits the catalog

Nonlinear Solvers sits in the Dev Tools category under the tools-misc sub-topic in the ClaudSkills catalog. There are 10 related skills indexed alongside it; comparing a few before installing usually reveals which fits your workflow best.

These notes are auto-generated from features detected in the SKILL.md file and from this catalog's structure — they aren't part of the source repository.

What this skill does

Nonlinear Solvers is a community-contributed Claude Code skill in the tools-misc sub-category. It ships as a SKILL.md file that Claude Code auto-discovers under ~/.claude/skills/nonlinear-solvers/ and loads when your prompt matches the skill's trigger.

When to invoke it: 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.

Who uses this skill

The Nonlinear Solvers Claude Code skill is built for developers, power users, and teams automating repetitive workflows and improving developer experience. It's part of ClaudSkills (also referred to as Claude Skills or Claude Code Skills) — the open community-curated registry of 116,000+ SKILL.md files for Anthropic's Claude Code agent and the wider Claude ecosystem (Claude API, Claude Agent SDK).

How to install

Free

Manual install (2 steps)

mkdir -p ~/.claude/skills/nonlinear-solvers
curl -L https://claudskills.com/skills/nonlinear-solvers/SKILL.md \
  -o ~/.claude/skills/nonlinear-solvers/SKILL.md

Or just download SKILL.md directly and drop it into ~/.claude/skills/nonlinear-solvers/. Claude Code auto-discovers it on next session.

Skills live at ~/.claude/skills/nonlinear-solvers/SKILL.md on macOS/Linux, or %USERPROFILE%\.claude\skills\nonlinear-solvers\SKILL.md on Windows. See the full install guide for step-by-step instructions.

📱 Install from your phone or desktop Telegram

Open @claudskills_bot on Telegram, tap Open Desktop App, and the desktop app installs this skill for you. Or share the bot link with a colleague — they get the same one-tap install. Learn more →

Pro

One-click install via the desktop app

The ClaudSkills desktop app installs any skill directly into ~/.claude/skills/ with one click — no terminal required. Pro starts at $9/mo or $149 lifetime.

Pro

For the full experience including quality scoring and one-click install features for each skill — upgrade to Pro.

See pricing → Download desktop app

Frequently asked questions

How do I install the Nonlinear Solvers Claude Code skill?

Install via the ClaudSkills desktop app (one click) or copy SKILL.md from the source repository to ~/.claude/skills/nonlinear-solvers/SKILL.md and restart Claude Code. Both flows are detailed at claudskills.com/install/.

What does the Nonlinear Solvers skill do?

Is this skill free to install?

Yes. ClaudSkills is an open registry — every skill keeps its source repository's license, and manual install via copy is free. ClaudSkills Pro ($9/mo, $79/yr, or $149 one-time) adds one-click install via the desktop app and a multi-signal Quality Score.

When should I use the Nonlinear Solvers skill?

Use Nonlinear Solvers when your Claude Code task falls under the Dev Tools category — specifically in the tools misc area. Claude Code auto-discovers installed skills and invokes the right one based on the task description, so you can also ask Claude directly (e.g. "use Nonlinear Solvers" or describe the task and let Claude pick). Browse related skills at /category/tools/.

What is a Claude Code skill and how does the Nonlinear Solvers skill fit in?

A Claude Code skill is a SKILL.md file that lives under ~/.claude/skills/<name>/ and tells the Claude Code CLI agent how to perform a specific task (instructions, prompts, allowed tools). Skills are auto-discovered at session start. Nonlinear Solvers is one of 67,000+ skills indexed in the open ClaudSkills catalog, classified under the Dev Tools category. Learn more at /learn/what-is-a-claude-skill/.

Attribution & license

Source: https://github.com/FreedomIntelligence/OpenClaw-Medical-Skills/blob/HEAD/skills/nonlinear-solvers/SKILL.md
Author: FreedomIntelligence

Cite this skill

If you reference this skill in a blog post, paper, or documentation, you can cite it as:

APA

FreedomIntelligence. (2026). Nonlinear Solvers [Claude Code skill]. ClaudSkills. https://claudskills.com/skills/nonlinear-solvers/

BibTeX

@misc{nonlinear-solvers-2026,
  author    = {FreedomIntelligence},
  title     = {Nonlinear Solvers [Claude Code skill]},
  year      = {2026},
  publisher = {ClaudSkills},
  url       = {https://claudskills.com/skills/nonlinear-solvers/}
}

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