Mikel Antoñana

• Professor at the University of the Basque Country - UPV/EHU
• Department: Computer Science and Artificial Intelligence
• Email: mikel.antonana@ehu.eus

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Research Area

I am a computer scientist and my research focuses on analysis and implementation of advanced methods for the numerical integration of problems modeled by ordinary differential equations.

• Numerical integration of the solar system
• Methods for propagation of satellite orbits
• Gauss-Legendre methods
• DifferentialEquations.jl a suite for numerically solving differential equations written in Julia

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Publications and Software

• Research Group: Applied Mathematical Modeling, Statistics, and Optimization (MATHMODE)
• Project Group: Geometric Numerical Integration and Applications
• Publications (ORCID)

• Software

  • IRK-FixedPoint. C language code of implicit Runge-Kutta method with fixed point iterations

  • IRK-Newton. C language code of implicit Runge-Kutta method with simplified Newton iterations

  • FCIRK. Flow-Composed Implicit Runge-Kutta 16th order (implementation in C language)
  • IRKGaussLegendre.jl. Julia package of a 16th order Implicit Runge-Kutta integrator IRKGL16 (a 8-stage IRK scheme based on Gauss-Legendre nodes) for high accuracy numerical integration of non-stiff ODE systems
  • IRKGL_SIMD.jl. SIMD-vectorized implementation of the sixteenth order 8-stage implicit Runge-Kutta integrator
  • NbodyIRKGL16.jl. few-body integrator with time-reversible adaptivity in Julia

 

*Evolution of semi-major axis of the earth.*

Published

June 27, 2024