A novel and simple a posteriori error estimator for LMS methods under the umbrella of GSSSS framework: Adaptive time stepping in second-order dynamical systems

A novel general purpose a posteriori error estimator that is agnostic to selection of time integration schemes arising under the umbrella of ”Generalized Single Step Single Solve” (GSSSS) framework and family of algorithms is proposed to foster adaptive time stepping; it encompasses the entire class of LMS methods for second order dynamical systems. Unlike several error estimators that have been applied to a limited selection of known time...