In contrast to stiff deterministic systems of ordinary differential equations, in general, the implicit Euler method for stiff stochastic differential equations is not effective. This paper introduces a new numerical method for stiff differential equations which consists of interlacing large implicit Euler time steps with a sequence of small explicit Euler time steps. We emphasize that uniform ...

BACKGROUND Pediatric physical therapy seems to reduce skull deformation in infants with positional preference. However, not all infants show improvement. OBJECTIVE The study objective was to determine which infant and parent characteristics were related to responses to pediatric physical therapy in infants who were 2 to 4 months old and had positional preference, skull deformation, or both. ...

We present and analyze a new damping approach called backward step control for the globalization of the convergence of Newton-type methods for the numerical solution of nonlinear root-finding problems. We provide and discuss reasonable assumptions that imply convergence of backward step control on the basis of generalized Newton paths in conjunction with a backward analysis argument. In particu...

the built up layer thickness in secondary deformation zone is one of the important parameters in metal cutting process. the built up layer (bul) is formed in second deformation zone near the tool-chip interface in the back of the chip. this parameter influences the tool life and machined surface quality. this bul should not be confused with the built up edge (bue). the deformation of the bul in...

superplastic materials show a very high ductility. this is due to both peculiar process conditions and material intrinsic characteristics. however, a number of superplastic materials are subjected to cavitation during superplastic deformation. evidently, extensive cavitation imposes significant limitations on their commercial application. the deformation and failure of superplastic sheet metals...

this study was conducted in order to investigate the influence of plastic deformation on the transformation of retained austenite in a trip steel with a high content of al and a low content of si. to the aim, appropriate treatments were used to produce the starting material (trip steel). the microstructure of the obtained steel was composed of bainite and phases including ferrite and retained a...

concrete deformation due to temperature and moisture condition will always develop simultaneously and interactively. the environmentally (hygral and thermally) induced stress and deformation are essential to concrete durability. to simulate the deformation of concrete caused by the coupling effect of temperature and moisture, a numerical simulation approach is proposed comprising analytical pro...

The present paper describes implementation details of a new implementation of a BDF solver within MATLAB R . It is tuned to be most efficient when applied as a solver within FEMLAB R . The present code aims at a predictable and efficient performance for index-2 differential-algebraic equations arising within the method of lines. The main novelty is the consequent implementation of a predictive ...

Within an epistemic model for two-player extensive games, we formalize the event that each player believes that his opponent chooses rationally at all information sets. Letting this event be common certain belief yields the concept of sequential rationalizability. Adding preference for cautious behavior to this event likewise yields the concept of quasi-perfect rationalizability. These concepts...