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Tutorial on Computational Astrophysics

Introduction

Basics

Floating Point and Numerical Error
- Numerical Errors: Roundoff and Truncation
Differentiation and Integration
Root finding
Ordinary Differential Equations
Linear Algebra
- Linear Algebra

Advection and Hydrodynamics

Linear Advection Equation
Burgers’ Equation
- Burgers’ equation
- Exercises
Euler Equations
Practice Projects

Elliptic Problems and Multigrid

Poisson problem
Relaxation
Multigrid

Stars

Stars
Lane-Emden polytrope equation

Integrating Stiff Reaction Networks

Nuclear Reactions
Integrating Stiff ODEs
Integration Example

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Linear Advection Equation

Linear Advection Equation#

The linear advection equation is a model equation for understanding the core algorithms we will use for hydrodynamics.

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Linear Advection

By Michael Zingale

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