Publication: Arbitrary high-order, conservative and positivity preserving Patankar-type deferred correction schemes
Arbitrary high-order, conservative and positivity preserving Patankar-type deferred correction schemes
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Öffner, P., & Torlo, D. (2020). Arbitrary high-order, conservative and positivity preserving Patankar-type deferred correction schemes. Applied Numerical Mathematics, 153, 15–34. https://doi.org/10.1016/j.apnum.2020.01.025
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Production-destruction systems (PDS) of ordinary differential equations (ODEs) are used to describe physical and biological reactions in nature. The considered quantities are subject to natural laws. Therefore, they preserve positivity and conservation of mass at the analytical level. In order to maintain these properties at the discrete level, the so-called modified Patankar-Runge-Kutta (MPRK) schemes are often used in this context. However, up to our knowledge, the family of MPRK has been only developed up to third order of accuracy
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- Öffner, Philipp
- Torlo, Davide
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Öffner, P., & Torlo, D. (2020). Arbitrary high-order, conservative and positivity preserving Patankar-type deferred correction schemes. Applied Numerical Mathematics, 153, 15–34. https://doi.org/10.1016/j.apnum.2020.01.025