Books Quote by Inna K. Shingareva
““One of the ideas of this book is to give the reader a possibility to develop problem-solving skills using both systems, to solve various nonlinear PDEs in both systems. To achieve equal results in both systems, it is not sufficient simply “to translate” one code to another code. There are numerous examples, where there exists some predefined function in one system and does not exist in another. Therefore, to get equal results in both systems, it is necessary to define new functions knowing the method or algorithm of calculation.””
About This Quote
Source Book: Numerical Methods for Nonlinear PDEs, 2021
Balancing two computational platforms requires creating custom functions when direct translation fails, ensuring consistent problem‑solving outcomes.
In simple terms: You must build new tools to match results across systems.
Key Takeaway
Create missing functions before comparing outputs.
Themes
computational mathematics
software engineering
numerical analysis
Mood
analytical
practical
Type
technical
instructional
When to use this quote
- multiphysics simulations
- academic research
- software migration
- teaching computational methods
Key Concepts
algorithm design
cross‑platform compatibility
function implementation
Questions to Reflect On
- How can you verify that a newly defined function truly mirrors the original?
- When is it better to redesign the algorithm instead of adding functions?
A Different Perspective
If the underlying algorithms differ, custom functions may still produce divergent results.
