Improved Rosenbrock method with error estimator and Jacobian approximation using complex step

This paper proposes an A-stable one-stage Rosenbrock method for the solution of Ordinary Differential Equations (ODEs). In this method, Jacobians are approximated via complex step finite differences. An asymptotically accurate estimator of the truncation error is also provided. This error estimator...

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Bibliographic Details
Main Authors: Juan Diego Pulgarín Rivera, Daniel Turizo, Elias D. Nino-Ruiz, Oscar Danilo Montoya
Format: Article
Language:English
Published: Elsevier 2025-08-01
Series:Results in Applied Mathematics
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Online Access:http://www.sciencedirect.com/science/article/pii/S2590037425000937
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