Mathematical modelling and simulation lie at the heart of Quintessa, whose core competence is in the formulation, development and application of innovative mathematical and statistical models and associated scientific software.
In the 21st century, mathematical modelling and simulation have emerged as key industrial technologies in support of improved decision making, design, manufacturing and environmental impact assessment. This has been facilitated by the increasing power of successive generations of computers, which has allowed scientists and engineers to focus upon problems of increasing size and complexity.
At Quintessa, we have a team of mathematicians and scientists who are experienced in solving problems using techniques from diverse fields, drawing on extensive research experience in both academia and industry. We aim to work in partnership with our clients at all stages of the process, from defining the problem to harnessing results.
A key element of our role as mathematical consultants is to provide an interface between cutting edge research from universities and research institutes, and clients requiring quality solutions on time and budget. By communicating effectively with both academia and industry we are able to provide effective solutions to our clients which address the real-world business needs. We have expertise in using off-the-shelf computer packages such as COMSOL Multiphysics® and GoldSim, as well as using our own in-house packages such as QPAC and AMBER , and developing bespoke custom software.
While each project is tailored to client needs, elements of the following are common to many projects:
- client liaison and project planning;
- problem formulation;
- information gathering and interpretation;
- conceptual and mathematical model formulation;
- mathematical and numerical analysis;
- software development;
- testing, verification and validation;
- application and assessment;
- synthesis and presentation;
- project review; and
- training.
In recent years mathematical and numerical techniques applied by Quintessa employees have included:
- differential and algebraic equations;
- probabilistic analysis;
- statistics;
- pattern recognition;
- non-linear mathematics;
- optimisation;
- operational research;
- fuzzy logic;
- rough sets;
- genetic algorithms;
- artificial intelligence;
- machine learning;
- cluster analysis;
- time-series analysis;
- finite-element,finite-difference and finite-volume analysis;
- sensitivity and uncertainty analysis; and
- agent-based modelling.