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<LumusMaximaAI>

2D Wave Equation Solver

Deterministic numerical simulation as a reference.

Python

OVERVIEW

A deterministic 2D wave equation solver written in Python. Starting from a single disturbance on a two-dimensional grid, it calculates step by step how the wave propagates across the surface. Rather than relying on a physics engine, the simulation evolves through mathematical calculations, producing identical results for identical inputs, using explicit finite differences, leapfrog integration and periodic boundaries. It monitors stability and energy conservation to help verify correctness, and is intended as a deterministic reference for learning, experimentation and further development.

MIT

KEY POINTS

  • Explicit finite-difference method;
  • Leapfrog integration, periodic boundaries;
  •  Stability and energy-conservation checks;
  • Reproducible reference implementation.

USE CASES

Reliable, auditable sales/CRM lead intake.

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