ranocha/Dispersive-wave-error-growth-notebooks

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Created almost 4 years ago
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ranocha/Dispersive-wave-error-growth-notebooks

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On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations

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 Julia

HyperbolicDiffEq.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 Equations

Jupyter Notebook

2023-RSE_in_Julia

Repository supporting the course "Research Software Engineering in Julia" at Johannes Gutenberg University Mainz in the winter term 2023/2024

Julia_User_Group_Mainz

Collecting material from talks at the Julia User Group in Mainz, Germany

2023_modeling_matters

Reproducibility repository for the article "Modeling still matters: a surprising instance of catastrophic floating point errors in mathematical biology and numerical methods for ODEs" by Cordula Reisch and Hendrik Ranocha

Hamiltonian-RRK-notebooks

Relaxation Runge-Kutta Methods for Hamiltonian Problems

Jupyter Notebook

StrongStabilityExplicitRungeKuttaForNonlinearOperators

On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators

2023_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 Problems

Optimized-RK-CFD

Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics