RL Aerodynamics, Inc.

  • Linear Algebra Problems
  • We designed new generation of algorithms to solve extremely large dense systems of linear equations with 10 million (and more) unknowns. The algorithms are accurate and insensitive to condition number of the main matrix. They work well on current parallel architectures, including clusters of multi-cores and Graphics Processing Units (GPUs).
  • Integral Equation-Based Electromagnetic Problems
  • The discretization of integral equation-based electromagnetic problems, including antenna design, leads to dense system of linear equations. The algorithm to solve such systems of linear equations essentially utilizes the new generation of algorithms mentioned above. It can solve electromagnetic problems with 10 million (and more) unknowns. Due to compact nature of computer resources required by the new algorithms, only computer memory for a few vectors is required.
  • Statistical machine learning (SML)
  • SML is one of the topics of artificial intelligence. SML deals with the design and development of algorithms and techniques that allow computers to "learn". The major focus of machine learning research is to extract information from data automatically, by computational and statistical methods. We investigate the use of statistical machine learning methods within the framework of Bayesian statistics and apply them to engineering and scientific problems of interest to aircraft design community. We offer environments satysfying customer modeling requirements, including innovative techniques with highly optimized algorithms on current and future computer platforms.
  • Selecting Low Discrepancy Sequences for computational problems
  • The term Low Discrepancy Sequences (LDS) has a precise mathematical definition. Intuitively, we can say it is a sequence of N points which are more uniform than any pseudo-randomly generated sequence. There are mathematical algorithms developed to avoid clustering as observed with pseudo-random number generators. The LDS are applicable to a wide range of scientific and engineering areas, including:
    • Operations Research
    • Design trade studies with performance and support impact assessment, aircraft configuration optimization, verification studies.
    • Micro-electromechanical systems (MEMS)
    • Automotive, aerospace, biology, chemistry, computer science, medicine, optics, and telecommunications.
    • Computer simulations for all aspects of MEMS design
    • Aerodynamic, electro-magnetic, mechanical, optical, structural, and thermal.