We introduce a new class of explicit two-step peer methods with the aim of improving the stability properties of already existing peer methods, by making use of coefficients depending on the Jacobian of the Ordinary Differential Equations (ODEs) system to solve. Numerical tests highlight the best stability and accuracy properties of the new methods compared to the classical and equation-dependent ones proposed in Conte et al. (Lect Notes Comput Sci 12949:309-324, 2021).
Two-step peer methods with equation-dependent coefficients
Dajana Conte
;Giovanni Pagano;Beatrice Paternoster
2022
Abstract
We introduce a new class of explicit two-step peer methods with the aim of improving the stability properties of already existing peer methods, by making use of coefficients depending on the Jacobian of the Ordinary Differential Equations (ODEs) system to solve. Numerical tests highlight the best stability and accuracy properties of the new methods compared to the classical and equation-dependent ones proposed in Conte et al. (Lect Notes Comput Sci 12949:309-324, 2021).File in questo prodotto:
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Twostep-peer-methods-with-equationdependent-coefficientsComputational-and-Applied-Mathematics.pdf
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