Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case - researchr publication related

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Winfried Auzinger, Harald Hofstätter, Othmar Koch, Mechthild Thalhammer. Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case. J. Computational Applied Mathematics, 273:182-204, 2015. [doi]

The following publications are possibly variants of this publication:

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear caseWinfried Auzinger, Othmar Koch, Mechthild Thalhammer. jcam, 236(10):2643-2659, 2012. [doi]

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part II. Higher-order methods for linear problemsWinfried Auzinger, Othmar Koch, Mechthild Thalhammer. jcam, 255:384-403, 2014. [doi]

Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part II: Comparisons of local error estimation and step-selection strategies for nonlinear Schrödinger and wave equationsWinfried Auzinger, Iva Brezinová, Harald Hofstätter, Othmar Koch, Michael Quell. cphysics, 234:55-71, 2019. [doi]

Defect-based local error estimators for high-order splitting methods involving three linear operatorsWinfried Auzinger, Othmar Koch, Mechthild Thalhammer. na, 70(1):61-91, 2015. [doi]

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