190 research outputs found
Teaching Ways and Learning Ways Revisited
In learning and teaching of languages, numerous theories have been put forward. These theories, normally influenced by developments in the fields of linguistics and psychology, have inspired several approaches to the teaching of second and foreign languages. This paper revisits English language teaching approaches, both traditional and modern, as well as learning styles and teaching styles. Such learning style models as The Myers-Briggs Type Indicator (MBTI); Kolb’s Experiential Learning Model; the Felder-Silverman Learning Styles Model are explored in-depth in this paper. Keywords: teaching approach; learning style; teaching styl
On the regularization of solution of an inverse ultraparabolic equation associated with perturbed final data
In this paper, we study the inverse problem for a class of abstract
ultraparabolic equations which is well-known to be ill-posed. We employ some
elementary results of semi-group theory to present the formula of solution,
then show the instability cause. Since the solution exhibits unstable
dependence on the given data functions, we propose a new regularization method
to stabilize the solution. then obtain the error estimate. A numerical example
shows that the method is efficient and feasible. This work slightly extends to
the earlier results in Zouyed et al. \cite{key-9} (2014).Comment: 19 pages, 4 figures, 1 tabl
A new stability results for the backward heat equation
In this paper, we regularize the nonlinear inverse time heat problem in the
unbounded region by Fourier method. Some new convergence rates are obtained.
Meanwhile, some quite sharp error estimates between the approximate solution
and exact solution are provided. Especially, the optimal convergence of the
approximate solution at t = 0 is also proved. This work extends to many earlier
results in (f2,f3, hao1,Quan,tau1, tau2, Trong3,x1).Comment: 13 page
On Perfect Order Subsets in Finite groups
Abstract If G is a finite group and x ∈ G then the set of all elements of G having the same order as x is called an order subset of G determined by x (se
Approximation of mild solutions of the linear and nonlinear elliptic equations
In this paper, we investigate the Cauchy problem for both linear and
semi-linear elliptic equations. In general, the equations have the form
where is a positive-definite, self-adjoint operator with
compact inverse. As we know, these problems are well-known to be ill-posed. On
account of the orthonormal eigenbasis and the corresponding eigenvalues related
to the operator, the method of separation of variables is used to show the
solution in series representation. Thereby, we propose a modified method and
show error estimations in many accepted cases. For illustration, two numerical
examples, a modified Helmholtz equation and an elliptic sine-Gordon equation,
are constructed to demonstrate the feasibility and efficiency of the proposed
method.Comment: 29 pages, 16 figures, July 201
- …