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math.NA2026
Splitting Schemes for ODEs with Goal-Oriented Error Estimation
Erik Weyl, Andreas Bartel, Manuel Schaller
We present a hybrid a-priori/a-posteriori goal oriented error estimator for a combination of dynamic iteration-based solution of ordinary differential equations discretized by fini…
math.NA2026
Structure-Preserving Operator Splitting via JR-Decomposition for Circuit Models
Andreas Bartel, Malak Diab
We investigate circuit models, namely, modified nodal analysis (MNA) in the port-Hamiltonian framework. Based on this, the JR-decomposition for the numerical treatment would offer…
math.NA2026
Goal-Oriented Time Adaptivity for Linear Port-Hamiltonian Differential-Algebraic Equations of Index~1
Aashutosh Sharma, Andreas Bartel, Manuel Schaller
Port-Hamiltonian systems provide a highly-structured framework for modeling of physical systems. By definition, they encode a balance equation relating energy changes to supplied a…