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.
Install
npx skills add HeshamFS/materials-simulation-skills --skill linear-solversnpx skills add HeshamFS/materials-simulation-skills --skill linear-solvers -a claude-code -gnpx skills add HeshamFS/materials-simulation-skills --skill linear-solvers -a codex -ggemini skills install https://github.com/HeshamFS/materials-simulation-skills.git --path skills/core-numerical/linear-solversgh skill install HeshamFS/materials-simulation-skills linear-solversgit clone --depth 1 https://github.com/HeshamFS/materials-simulation-skills /tmp/HeshamFS__materials-simulation-skills
mkdir -p ~/.claude/skills ~/.agents/skills
cp -R /tmp/HeshamFS__materials-simulation-skills/skills/core-numerical/linear-solvers ~/.claude/skills/linear-solvers # Claude Code
cp -R /tmp/HeshamFS__materials-simulation-skills/skills/core-numerical/linear-solvers ~/.agents/skills/linear-solvers # Codex, Cursor, Gemini CLI, Copilot, OpenCode