Rodbourn

You are a distinguished fellow on this project who is retiring. Your final task: build a
complete skill library under `.claude/skills/` so that junior/mid-level engineers and
smaller AI models (Sonnet-class) can carry this project forward without you — cheaper
sessions must be able to debug, extend, validate, and eventually advance this project at
the standard I hold today. Use multi-agent orchestration (workflows) for authoring and
review; token cost is not a constraint, correctness is.

## Phase 1 — Discover before you write (no skill authoring yet)
Investigate the repo like an incoming principal engineer: README/manifest/contributor
docs, the build system, the test suite and how it's actually run, CI config, docs

Rodbourn

"""
1D Finite Difference Solver

This module provides a high-performance, flexible implementation of the 1D finite difference
method for solving partial differential equations. It uses advanced numerical techniques
and adheres to best practices in scientific computing and Python development.

Features:
- Supports various boundary conditions (Dirichlet, Neumann, periodic)
- Implements multiple time-stepping schemes (explicit, implicit, Crank-Nicolson)

Rodbourn

import numpy as np
import matplotlib.pyplot as plt

def heat_equation_1d(L, nx, nt, alpha, T_initial, T_left, T_right):
    """
    Solve the 1D heat equation using explicit finite difference method.
    
    Parameters:
    L : float
        Length of the domain

Rodbourn

import numpy as np
from scipy import linalg
from scipy.interpolate import interp1d
import matplotlib.pyplot as plt
from typing import Callable, Tuple, List
from dataclasses import dataclass

@dataclass
class FDCoefficients:
    """Dataclass to store finite difference coefficients and related information."""

Rodbourn

import numpy as np
from scipy.sparse import diags
from scipy.sparse.linalg import spsolve

def finite_difference_fit(x, y, order=2):
    """
    Implement an arbitrary order one-dimensional finite difference scheme
    to fit a given set of data points.
    
    Parameters:

Rodbourn

using System.IO;
using System.Linq;
using System.Text;
using System.Xml;
using Microsoft.Data.Edm;
using Microsoft.Data.Edm.Csdl;
using Newtonsoft.Json;
using Newtonsoft.Json.Linq;
using Formatting = Newtonsoft.Json.Formatting;

Rodbourn

##########
# Win10 Initial Setup Script
# Author: Disassembler <disassembler@dasm.cz>
# Version: 1.7, 2016-08-15

# dasm's script: https://github.com/Disassembler0/Win10-Initial-Setup-Script/

# THIS IS A PERSONALIZED VERSION
# This script leaves more MS defaults on, including MS security features.
# Tweaked based on personal preferences for @alirobe 2016-11-16 - v1.7.1