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For such problems, to achieve given accuracy, it takes much less computational time to use an implicit method with larger time steps, even taking into account that one needs to solve an equation of the form (1) at each time step. That said, whether one should use an explicit or implicit method depends upon the problem to be solved.
She emphasized that implicit knowledge underpins fluent communication, while explicit knowledge plays a secondary, monitoring role. Rod Ellis significantly advanced the study of implicit and explicit knowledge in SLA through a systematic psychometric approach aimed at operationalizing and validating these constructs. Ellis emphasized the ...
Tacit knowledge or implicit knowledge is knowledge that is difficult to extract or articulate—as opposed to conceptualized, formalized, codified, or explicit knowledge—and is therefore more difficult to convey to others through verbalization or writing.
Austin variously opposes different categories of utterance in order to analyze the differences, or lack thereof, between them: explicit vs. implicit or inexplicit performatives; explicit performatives vs. primitive or primary utterances or performatives; and pure performatives vs. half-descriptive vs. descriptive utterances.
All are implicit methods, have order 2s − 2 and they all have c 1 = 0 and c s = 1. Unlike any explicit method, it's possible for these methods to have the order greater than the number of stages. Lobatto lived before the classic fourth-order method was popularized by Runge and Kutta.
An implicit function is a function that is defined by an implicit equation, that relates one of the variables, considered as the value of the function, with the others considered as the arguments. [ 1 ] : 204–206 For example, the equation x 2 + y 2 − 1 = 0 {\displaystyle x^{2}+y^{2}-1=0} of the unit circle defines y as an implicit function ...
For larger time steps, the implicit scheme works better since it is less computationally demanding. The explicit scheme is the least accurate and can be unstable, but is also the easiest to implement and the least numerically intensive. Here is an example.
Measures such as carbon taxes or emissions trading schemes put an explicit price on GHG emissions. [1] The sum of implicit and explicit carbon prices is referred to as the effective carbon price. [1] [3] [4] Considering both the implicit and explicit carbon prices can contribute to a better understanding of a country's progress on tackling ...