A French start-up developing technology for solving complex equations and modeling complex physical phenomena is looking for industrial partners or scientific software editors

French innovative start-up created in 2015 with expertise in physics, mathematics and scientific computing developed a technology based on the 19th century Chebyshev approximation mathematical theory. Resulting from a 50-year experience, the technology is based on a unique and optimal resolution method, enriched by a library of generic technological bricks for industrial and academic purposes. The company has created the only math equation solvers that provide guaranteed results at the precision demanded by the user. The company creates innovative mathematical equation solvers, mathematical modeling upon users' requests, and scientific computation applied to the users' applications (mono/multi-scale physics). The technology developed by the company is dedicated to research, development and innovation challenges: design, optimization, predictive simulation with extensive use of numerical tools. The technology can be encapsulated into any simulation tools. The technology guarantees a numerical description which is predictive, and 100% reliable, of the multi-scale behaviors (simultaneously macro/micro/nano) in heat transfer, fluidics, acoustics, vibration mechanics, electromagnetics, chemistry, electrochemistry. The technology is based on a numerical image of the continuous mathematical model which guarantees 100% fidelity to this model. The technology is mathematically proven as it relies on the mathematical Theory of Approximation (Chebyshev, 19th Century), a unique method, while taking advantage of the whole power of the 21st-Century computer technologies. The technology guarantees the exponential improvement of the results with the mesh refinement (grid), a mesh whose structure is unique as compared with all traditional methods (finite elements, finite volumes, finite differences). The technology is suitable for both non-periodic and periodic function : Space-time polynomial expansion transforms a derivative into a full and ill-conditioned matrix. This leads to extremely efficient differential solvers thanks to know-how polynomial transposition. The company is interested in technical or research cooperation agreements with industrial partners which have challenging research and development programs with extensive use of numerical tools, and/or with scientific software editors willing to consider embedded breakthrough methods to solve mathematical equations in their software suite.