Numerical solution of a nonlinear PDE model for pricing Renewable Energy Certificates (RECs)

作者：

Highlights：

• A new PDE model for Green certificates is posed.

• PDE model includes a semilinear equation with maximal monotone operator.

• Appropriate numerical methods for nonlinear term and discretization are proposed.

• An academic and a real case validate the numerical methods and model.

摘要

•A new PDE model for Green certificates is posed.•PDE model includes a semilinear equation with maximal monotone operator.•Appropriate numerical methods for nonlinear term and discretization are proposed.•An academic and a real case validate the numerical methods and model.

论文关键词：Renewable energy certificates,Non-linear PDE,Semi-Lagrangian method,Finite differences,Maximal monotone operator,Duality method

论文评审过程：Received 10 November 2020, Revised 3 March 2021, Accepted 14 March 2021, Available online 28 March 2021, Version of Record 28 March 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126199