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I am a masters student and a student-researcher at the Technical University of Munich. My research falls at the intersection of applied mathematics, scientific computing and statistics.

I have an eclectic mix of experiences in systems simulation, product design, computational fluid dynamics, quantum computing, waveform inversion and quantum chemistry.

I am an active proponent of John Tukey’s – “getting to play in everyone’s backyard”. Promptly, I am interested in all things manifold learning and its applications to Many Body Physics, Non-linear Model Order Reduction and other surrogates for Partial Differential Equations.

Rahul Manavalan's Projects

hptn icon hptn

TCL library - TN (bench code)

lineax icon lineax

Linear solvers in JAX and Equinox. https://docs.kidger.site/lineax

lowrankintegrators.jl icon lowrankintegrators.jl

Package for approximation of solutions to matrix differential equations or time-dependent matrices via dynamically evolving low rank decomposition.

oceananigans.jl icon oceananigans.jl

🌊 Julia software for fast, friendly, flexible, ocean-flavored fluid dynamics on CPUs and GPUs

ordinarydiffeq.jl icon ordinarydiffeq.jl

High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

pdesystemlibrary.jl icon pdesystemlibrary.jl

A library of systems of partial differential equations, as defined with ModelingToolkit.jl in Julia

potentiallearning.jl icon potentiallearning.jl

An open source Julia library for active learning of interatomic potentials in atomistic simulations of materials. It incorporates elements of bayesian inference, machine learning, differentiable programming, software composability, and high-performance computing.

probnumdiffeq.jl icon probnumdiffeq.jl

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

stochasticdiffeq.jl icon stochasticdiffeq.jl

Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

surrogates.jl icon surrogates.jl

Surrogate modeling and optimization for scientific machine learning (SciML)

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