Book on Riemann solvers
An interactive book about Riemann problems and approximate solvers for hyperbolic PDEs, implemented in Jupyter notebooks.
What is Book on Riemann solvers?
Riemann Problems and Jupyter Solutions is an interactive book that teaches Riemann problems and approximate solvers for hyperbolic partial differential equations through executable Jupyter notebooks. It provides both theoretical explanations and practical implementations, allowing readers to experiment with numerical methods for equations like advection, acoustics, Burgers', shallow water, and Euler equations. The project solves the problem of making advanced numerical analysis concepts accessible and engaging through hands-on computational examples.
Students, researchers, and practitioners in computational science, applied mathematics, and engineering who want to learn about hyperbolic PDEs and numerical methods. It's particularly valuable for those who prefer interactive, code-driven learning over static textbooks.
Developers choose this project because it combines authoritative textbook content with executable code in a unified environment, enabling active learning through modification and experimentation. Unlike traditional PDE textbooks, it provides immediate visual feedback and practical implementation details while being freely accessible and runnable locally or in the cloud.
Overview
An interactive book about the Riemann problem for hyperbolic PDEs, using Jupyter notebooks.
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