This is mostly theory:
A fundamental protein property, thermodynamic stability, revealed solely from large-scale measurements of protein function
https://depts.washington.edu/sfields/pdf/araya_pnas.pdf
See the list of different tools in chapter 14 here:
Advances in Protein Thermodynamics, 14.
Computational Approach-Computer Simulation of Proteins for Thermodynamics and Structure Prediction
http://www.esciencecentral.org/ebooks/advances-in-protein-chemistry/advances-in-protein-thermodynamics.php
See this article for another approach:
Robust and convenient analysis of protein thermal and chemical stability
http://sci-hub.cc/10.1002/pro.2809
These sites may be useful as well:
COREX/BEST server: a web browser-based program that calculates regional stability variations within protein structures
http://bioinformatics.oxfordjournals.org/content/21/15/3318.full
Web-server for the estimation of protein stability changes upon mutation and sequence optimality
Something unexpected...
http://bmcbioinformatics.biomedcentral.com/articles/10.1186/1471-2105-12-151
are interested in the program name, as at this time the level of knowledge of programming languages does not allow to work with code