Burgers' equation

Burgers' equation is a fundamental partial differential equation used to model the evolution of velocity fields in fluid dynamics, and it serves as a benchmark for evaluating quantum algorithms in simulating statistical properties of these fields.

Papers using Burgers' equation (5)

Computing Statistical Properties of Velocity Fields on Current Quantum Hardware2026Real and Fourier space readout methods: Comparison of complexity and applications to CFD problems2025Partitioned Hybrid Quantum Fourier Neural Operators For Scientific Quantum Machine Learning2025Quantum homotopy analysis method with quantum-compatible linearization for nonlinear partial differential equations2024Quantum DeepONet: Neural operators accelerated by quantum computing2024