Abstract
In mathematics, a common approach to solving a new problem is to break down the problem into sub-problems that you know how to solve and then try to glue the pieces together to yield a solution of the new problem. This approach is also very useful in software development; well-tested pieces of software can be glued together in order to obtain solutions to a wider class of problems. Operator splitting is a technique that illustrates this principle very well. Rather complex equations can be broken down into more familiar problems and solved individually. It’s a miracle that it works, but it does. And it’s no miracle because there are proofs of convergence. Anyway, we will illustrate operator splitting with two examples and then come back to this technique when the equations become more challenging.
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Horgmo Jæger, K., Tveito, A. (2023). Operator Splitting. In: Differential Equations for Studies in Computational Electrophysiology. Simula SpringerBriefs on Computing(), vol 14. Springer, Cham. https://doi.org/10.1007/978-3-031-30852-9_7
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DOI: https://doi.org/10.1007/978-3-031-30852-9_7
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Publisher Name: Springer, Cham
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