Person
Giacomo Rosilho De Souza
This person is no longer with EPFL
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Courses taught by this person (1)
MATH-452: Numerical integration of dynamical systems
In this course we will introduce and study numerical integrators for multi-scale (or stiff) differential equations and dynamical systems with special geometric structures (symplecticity, reversibility
Related publications (11)
Please note that this is not a complete list of this person’s publications. It includes only semantically relevant works. For a full list, please refer to Infoscience.
Mixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equations
Giacomo Rosilho De Souza, Matteo Croci
Mixed-precision algorithms combine low-and high-precision computations in order to benefit from the performance gains of reduced-precision without sacrificing accuracy. In this work, we design mixed-precision Runge-Kutta-Chebyshev (RKC) methods, where high ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2022Explicit Stabilized Multirate Method For Stiff Differential Equations
Assyr Abdulle, Giacomo Rosilho De Souza
Stabilized Runge???Kutta methods are especially efficient for the numerical solution of large systems of stiff nonlinear differential equations because they are fully explicit. For semi-discrete parabolic problems, for instance, stabilized Runge???Kutta me ...
AMER MATHEMATICAL SOC2022Explicit Stabilized Multirate Method For Stiff Stochastic Differential Equations
Assyr Abdulle, Giacomo Rosilho De Souza
Stabilized explicit methods are particularly efficient, for large systems of stiff stochastic differential equations (SDEs) due to their extended stability domain. However, they lose their efficiency when a severe stiffness is induced by very few "fast" de ...
SIAM PUBLICATIONS2022