Complete guide for numerical mathematical investigations. Conducts structured interview to understand background, designs implementation and tests, creates detailed plan, then executes code, testing, and reporting.
Guide users through complete numerical investigations from problem understanding to final report.
Ask clarifying questions to understand the problem:
1. Core Question
2. Mathematical Setup
3. Scenarios to Test
4. Background Reading
5. Success Criteria
Interview style: Conversational, use user's terminology, ask follow-ups.
After understanding the problem, design the investigation:
1. Reading (if needed)
2. Implementation Strategy
3. Test Design
4. Output/Report Design
5. Code Organization
Then: Create detailed plan, iterate with user until approval.
After plan approval:
1. Implementation
2. Testing
3. Full Run
4. Report Generation
Use agents/subtasks for long computations, parallel testing, visualizations.
references/interview-guide.md - Detailed Phase 1 questionsreferences/design-guide.md - Phase 2 decision frameworkreferences/plan-template.md - Plan structure templatereferences/execution-checklist.md - Phase 3 checklist