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SummationByPartsOperators.jl
A Julia library of summation-by-parts (SBP) operators used in finite difference, Fourier pseudospectral, continuous Galerkin, and discontinuous Galerkin methods to get provably stable semidiscretizations, paying special attention to boundary conditions.BSeries.jl
Computing with B-series in JuliaHyperbolicDiffEq.jl
Numerical methods for hyperbolic differential equations.PolynomialBases.jl
Polynomial bases for spectral element methods.Dispersive-wave-schemes-notebooks
A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations2023-RSE_in_Julia
Repository supporting the course "Research Software Engineering in Julia" at Johannes Gutenberg University Mainz in the winter term 2023/2024Julia_User_Group_Mainz
Collecting material from talks at the Julia User Group in Mainz, GermanyHamiltonian-RRK-notebooks
Relaxation Runge-Kutta Methods for Hamiltonian ProblemsDispersive-wave-error-growth-notebooks
On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave EquationsStrongStabilityExplicitRungeKuttaForNonlinearOperators
On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators2023_RK_error_estimate
Reproducibility repository for "Stability of step size control based on a posteriori error estimates"2023_multiderivative_relaxation
Reproducibility repository for the paper "Multiderivative time integration methods preserving nonlinear functionals via relaxation"2024-talk-m3odel
This repository contains the source code for the hands-on introduction to adaptive meshes with T8code.jl given by Hendrik Ranocha at the M3ODEL Lunch Talk Seminar on March 28, 2024.EnergyStabilityExplicitRungeKuttaNonlinearNonautonomous
Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear ProblemsOptimized-RK-CFD
Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid DynamicsLove Open Source and this site? Check out how you can help us