We discuss a new approach for the numerical computation of self-similar blow-up solutions of certain nonlinear partial differential equations.
An adaptive multidomain Chebyshev collocation method for handling nonlinear eigenvalue problems, such as those arising in the computation of self-similar solutions, is presented.
Although self-tuning controller is one of the control methods for systems with uncertainty, there is a problem that the computation of self-tuning GPC increases as design engineer takes long prediction horizon in the design parameters.
A vectorized formulation facilitates the solution in two alternative ways: (i) in the time domain for arbitrary response via implicit integration using readily available routines; and (ii) in the frequency domain for the direct computation of self-excited periodic response via a novel Harmonic Balance (HB) method.
It is therefore possible that the particular combination of visual and tactile signals that were present in the experimental conditions in study 1 may have affected the visuo-tactile integration involved in the computation of self-location.
In addition to this direct assessment of daily steps, we also administered the short form of the International Physical Activity Questionnaire (last 7 days) which allowed for computation of self-reported total physical activity (metabolic equivalent-minutes/week) [ 20].
Computations of self-similar solutions of the compressible Euler equations as a boundary value problem in similarity coordinates (ξ =x/t, η =y/t) are presented.
The Pulay density mixing method was used in the computations of self-consistent field, and the self-consistent accuracy was set to the degree that every atomic energy converges to 2.0 × 10-6 eV.
More details about exact solutions, fully discretizations, and numerical computations of self-adaptive moving mesh schemes for the coupled SP equation, the complex SP equation, and their generalized equations will be discussed in our forthcoming papers.
This study aimed to relate two different forms of survey-based representations encoded after real-world route learning to the differential use of allocentric and egocentric frames of reference, and a navigation strategy of egocentric spatial updating that focuses on the computations of self-to-object relations.
For the model we consider here, the problem of the computation of the self-similar solution profile reduces to a nonlinear, second-order ordinary differential equation on an unbounded domain, which is given in implicit form.
