Shiva DARSHAN

Shiva DARSHAN

Post-Doc ESSEC

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Pages

Posts

Future Blog Post

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Blog Post number 4

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This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 3

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Blog Post number 2

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This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 1

Published:

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

portfolio

publications

Sticky coupling as a control variate for sensitivity analysis

Published in , 2024

We present and analyze a control variate strategy based on couplings to reduce the variance of finite difference estimators of sensitivity coefficients, called transport coefficients in the physics literature. We study the bias and variance of a sticky-coupling and a synchronous-coupling based estimator as the finite difference parameter $\eta$ goes to zero.

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Periodically forced pinned anharmonic atom chains

Published in , 2025

Recent works proved a hydrodynamic limit for periodically forced atom chains with harmonic interaction and pinning, together with momentum flip. When energy is the only conserved quantity, one would expect similar results in the anharmonic case, as conjectured for the temperature profile and energy flux. However, outside the harmonic case, explicit computations are generally no longer possible, thus making a rigorous proof of this hydrodynamic limit difficult. Consequently, we numerically investigate the plausibility of this limit for the particular case of a chain with $\beta$-FPUT interactions and harmonic pinning.

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talks

teaching

École nationale des ponts et chaussées

École d'ingenieurs, ENPC, 2022

  • Statistiques numériques (numerical statistics)
    • Chargé du PC (section teacher)
    • Fall 2022 (given in English)
    • Elective course for second year école d’ingenieurs students (equivalent to first year of scientific masters) not specializing in a mathematics heavy subject.
  • Equations aux Derivees Partielles: Approches Variationnelles (Variational Methods for PDEs)
    • Chargé du PC (section teacher)
    • Spring 2023 (given in English), Spring 2024 (given in French), Spring 2025 (given in French)
    • Elective course for first year école d’ingenieurs students (equivalent to last year of scientific bachelors)
  • Introduction à la science des données (Intoduction to data science)
    • Remplaçant (floating replacement/subsitute teacher)
    • Spring 2023 (given in French), Spring 2024 (given in French)
    • Common core (tronc commun) course for first year école d’ingenieurs students (equivalent to last year of scientific bachelors)
  • Mathématiques en Action
    • Chargé du PC (section teacher)
    • Fall 2023 (given in French)
    • Stage de rentrée de première année (Short course for entering first year students before the start their normal courses)
  • Probabilités (Probability)
    • Chargé du PC (section teacher)
    • Fall 2023 (given in English)
    • Common core (tronc commun) course for first year école d’ingenieurs students (equivalent to last year of scientific bachelors)
  • Pratique du calcul scientifique (practical scientifique computing)
    • Chargé du PC (section teacher)
    • Spring 2024 (given in French)
    • Elective course for first year école d’ingenieurs students (equivalent to last year of scientific bachelors)

ESSEC

École de commerce, ENPC, 2026

  • Business Statistics
    • Chargé du PC (section teacher)
    • Winter 2026 (given in French)
    • Mandatory course for first year école de commerce students (equivalent to last year of business bachelors)