boundary-value-problems
Problem-solving strategies for boundary value problems in odes pdes
Profile →npx skills add parcadei/Continuous-Claude-v3 --skill boundary-value-problems --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# Boundary Value Problems ## When to Use Use this skill when working on boundary-value-problems problems in odes pdes. ## Decision Tree 1. **Problem Classification** - Two-point BVP: conditions at x=a and x=b? - Sturm-Liouville: eigenvalue problem? - Mixed conditions: Dirichlet, Neumann, Robin? 2. **Shooting Method** - Convert BVP to IVP - Guess missing initial conditions - Iterate to satisfy boundary conditions - `scipy.integrate.solve_ivp` + root finding 3. **Finite Difference Method** - Discretize domain: x_i = a + i*h - Replace derivatives with differences: y'' ~ (y_{i+1} - 2y_i + y_{i-1})/h^2 - Solve resulting linear system - `sympy_compute.py linsolve "tridiagonal_matrix" "boundary_vector"` 4. **Collocation/BVP Solver** - `scipy.integrate.solve_bvp(ode, bc, x, y_init)` - Provide initial mesh and guess - Check residual for accuracy 5. **Eigenvalue Problems** - Sturm-Liouville form: -(p(x)y')' + q(x)y = lambda*w(x)*y - Eigenvalues are real if p, w > 0 - Eigenfunctions orthogonal with weight w - `sympy_compute.py eigenvalues "sturm_liouville_matrix"` ## Tool Commands ### Scipy_Solve_Bvp ```bash uv run python -c "from scipy.integrate import solve_bvp; import numpy as np; ode = la
- When to Use
- Decision Tree
- Tool Commands
- ScipySolveBvp
- SympyLinsolve
- Z3SturmLiouville
- Key Techniques
- Cognitive Tools Reference
uv run python -m runtime.harness scripts/sympy_compute.py linsolve "tridiagonal_matrix" "boundary_vector" uv run python -m runtime.harness scripts/z3_solve.py prove "eigenvalue_real"
What does the boundary-value-problems skill do?
Problem-solving strategies for boundary value problems in odes pdes
How do I install it?
Run `npx skills add parcadei/Continuous-Claude-v3 --skill boundary-value-problems --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From parcadei/Continuous-Claude-v3, a repository with 3,879 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.