Quadratic

class otp.quadratic.QuadraticProblem

Bases: otp.Problem

Parameters

class otp.quadratic.QuadraticParameters

Bases: otp.Parameters

Parameters for the quadratic problem.

Constructor Summary

QuadraticParameters(varargin)

Create an Allen–Cahn parameters object.

Parameters:

varargin – A variable number of name-value pairs. A name can be any property of this class, and the subsequent value initializes that property.

Property Summary

A

A is the translation term (degree 0)

B

B is the linear term (degree 1)

C

C is the quadratic term (degree 2)

Presets

class otp.quadratic.presets.QuasiGeostrophicROM

Bases: otp.quadratic.QuadraticProblem

QUASIGEOSTROPHICROM a quadratic reduced order model for the QG equations

See:

Popov, A. A., Mou, C., Sandu, A., & Iliescu, T. (2021). A multifidelity ensemble Kalman filter with reduced order control variates. SIAM Journal on Scientific Computing, 43(2), A1134-A1162.

class otp.quadratic.presets.Lorenz96PODROM

Bases: otp.quadratic.QuadraticProblem

LORENZ96PODROM a quadratic reduced order model of the L96 equations

See

Popov, A. A., & Sandu, A. (2021). Multifidelity ensemble Kalman filtering using surrogate models defined by physics-informed autoencoders. arXiv preprint arXiv:2102.13025.