Construction of explicit and implicit symmetric TVD schemes and their applications

Construction of Explicit and Implicit Symmetric TVD Schemes and Their Applications

Explicit and Implicit TVD Schemes for Conservation Laws with Caputo Derivatives

In this paper, we investigate numerical approximations of the scalar conservation law with the Caputo derivative, which introduces the memory effect. We construct the first order and the second order explicit upwind schemes for such equations, which are shown to be conditionally 1 contracting and TVD. However, the Caputo derivative leads to the modified CFL-type stability condition, ( t) = O( x...

Measuring the Effectiveness of Explicit and Implicit Instruction through Explicit and Implicit Measures

Many studies have examined the effect of different approaches to teaching grammar including explicit and implicit instruction. However, research in this area is limited in a number of respects. One such limitation pertains to the issue of construct validity of the measures, i.e. the knowledge developed through implicit instruction has been measured through instruments which favor th...

Evaluating the Effectiveness of Explicit and Implicit Form-Focused Instruction on Explicit and Implicit Knowledge of EFL Learners

Although explicit and implicit knowledge of language learners are essential to theoretical and pedagogical debates in second language acquisition (SLA), little research has addressed the effects of instructional interventions on the two knowledge types (R. Ellis, 2005).This study examined the relative effectiveness of explicit and implicit types of form-focused instruction (FFI) on the acquisit...

architecture and engineering of nanoscale sculptured thin films and determination of their properties

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