… To formulate the semantics of our new language constructs and to illustrate their use in the
implementation of a stepper, we present a small model and study its properties. The model …

… occurs exponentially in time, it occurs only algebraically fast in the one-dimensional model.
An unusual sublinear increase is also found in the variance of the spatially averaged allele …

… model, we built an algebraic stepperÐa tool for visualizing the evaluation of Source ğ2 programs
according to the model. As … on a stepper for this language. We formalize the substitution …

… of the algebraic variables by applying a Newton-type procedure to the model's algebraic …
use a validated form of our model in the form of an existing time stepper. Although the two-tiered …

… sively or a static debugger and an algebraic stepper which help in understanding the meaning
… The first is a symbolic stepper. It models the execution of Scheme programs as algebraic …

We present in this paper the development of a class of time-stepping algorithms for … model
problems. Namely, we consider a nonlinear elastic spring/mass system and a simplified model …

… coupled ordinary differential or differential algebraic equations. The same is true for microscopic
… either coarse model (discretized PDE) time-steppers or microscopic time-steppers. This …

… are systems of nonlinear algebraic equations for the nodal … stepping is employed in
conjunction with standard or lumped storage matrices. This is also true for the new time-stepping …

… model coupling and is described in Sec. 5 and a kinematic coupling as well as a differential
algebraic stepper is … intend to use this feature for the ME stepper so that it can process DAEs. …

… time-stepping technique will be developed based on the energy variation, which is an important
physical quantity in the MBE growth model. … schemes for solving MBE models. The linear …