Skill description
Creating, analysing, implementing, testing and improving algorithms for numerically solving mathematical problems.
Guidance notes
Numerical analysis is the area of mathematics and computer science that creates, analyses and implements algorithms for numerically solving mathematical problems. Numerical analysis is required for applications including, but not limited to:
- simulations of physical systems.
- machine learning.
- data analytics .
Numerical analysis is concerned with:
- floating-point arithmetic and the resulting accumulation of rounding errors (integer arithmetic which has different considerations).
- consideration of the numerical stability, condition numbers, accuracy, computational complexity and usability of algorithms that solve mathematical problems.
Activities may include, but are not limited to:
- developing and implementing numerical algorithms.
- analysing and optimising the efficiency of numerical methods.
- evaluating and improving the accuracy of computational results.
- collaborating with domain experts to apply numerical solutions to real-world problems.
- documenting and communicating complex numerical concepts to non-specialists.
Level 4Enable
Creates moderately complex algorithms using a range of mathematical techniques and with sensitivity to the limitations of the techniques.
Uses sophisticated scientific computing and visualisation environments.
Assesses the stability, accuracy and efficiency of algorithms and makes or recommends improvements to them.
Iterates and improves models using feedback from experts as appropriate.
Level 5Ensure, advise
Creates, tests and improves complex algorithms that numerically solve real-world problems.
Develops mathematical and computational techniques to assist with numerical analysis.
Communicates limitations such as uncertainty and systematic errors.
Reviews algorithms for their conformance to design and performance standards.
Level 6Initiate, influence
Initiates the creation, testing, improvement and application of numerical algorithms that solve real-world mathematical problems.
Sets standards and strategies for the application of numerical analysis.
Leads the implementation of numerical analyses capabilities to ensure appropriate, consistent and effective usage across the organisation.
Level 7Set strategy, inspire, mobilise
Directs the creation and review of a cross-functional, enterprise-wide approach and culture for numerical analysis.
Leads the development of the organisation's numerical analysis capabilities and champions its use in solving real-world problems.
No notes added yet.
Comments
0 comments
Please sign in to leave a comment.