asymptotics 0.1.0

A Python library for perturbation and asymptotic methods

asymptotics

A Python library for perturbation and asymptotic methods.

Built on SymPy, asymptotics automates classical perturbation theory for algebraic equations and ODEs — providing symbolic, order-by-order expansions with LaTeX display and numerical verification.

Full library coming soon. This is a name reservation. The complete package is under active development.

Methods

• Regular perturbation (algebraic equations and ODEs)
• Lindstedt–Poincaré
• Method of multiple scales
• Matched asymptotic expansions (boundary layers)
• Coupled ODE systems

Planned API

import asymptotics as asym
from asymptotics import ODE, AlgebraicEquation

eq  = AlgebraicEquation("x**3 + eps*x - 1", dependent="x", small_param="eps")
sol = eq.expand_regular(order=3)
sol.show()
# x(ε) = 1 - ε/3 - ε³/81 + O(ε⁴)

Author

Tony Saad — University of Utah

License

MIT