Higher order commutators in the real method of interpolation

1995 ◽  
Vol 66 (1) ◽  
pp. 37-55 ◽  
Author(s):  
Mario Milman
Keyword(s):  
Higher Order ◽  
The Real ◽  
Real Method

scholarly journals EFEKTIVITAS PEMBELAJARAN BENTUK MOLEKUL DENGAN PEMODELAN REAL BERBASIS PENEMUAN TERBIMBING UNTUK MELATIHKAN KETERAMPILAN BERPIKIR TINGKAT TINGGI SISWA

2017 ◽  
Vol 3 (2) ◽  
pp. 332
Author(s):  
Sutrisno Sutrisno ◽  
Sri Poedjiastoeti ◽  
I Gusti Made Sanjaya
Keyword(s):  
Higher Order Thinking ◽  
Thinking Skills ◽  
Higher Order ◽  
Lesson Plans ◽  
Average Score ◽  
Learning Materials ◽  
Guided Discovery ◽  
Gain Score ◽  
The Real ◽  
Learning And Teaching

This study aimed to describe the effectiveness of learning materials on shape of the molecule with the real modeling supported by PhET media-based on guided discovery to facilitate the students’ high-order-thinking skills at odd semester XI class of SMAN 10. This research is developmental research using 4D models. Thetest of the learning materials use one group pretest-posttest design. The results of validity syllabus (3.87), lesson plans (3.71), students’ book (3.35), work sheet (3.63), and test of products (3.58) are categorized very good and reliability syllabus (99%), lesson plans (100%), students’ book (89%), work sheet (100%), and test of products (100%) are categorized reliable. The Achievement test of higher-order thinking skills showed that the individuals completeness an average score of 82.79, the average sensitivity of items was 0.74 and the average individual gain score of 0.82. Students' response to the learning and teaching activities in average were well-categorized. Based on the findings of the study, it can be concluded that the shape of molecule with the real modeling supported by PhET media based on guided discovery–was effective to train the students' higher-order thinking skills.Penelitian ini bertujuan untukmendeskripsikan efektivitas perangkat pembelajaran bentuk molekul dengan pemodelan real ditunjang media PhET berbasis penemuan terbimbinguntuk melatihkan keterampilan berpikir tingkat tinggi siswa kelas XI semester ganjil SMAN 10 Samarinda pada materi bentuk molekul.Perangkat pembelajaran yang digunakan dikembangkan dengan model 4D. Perangkatpembelajaran di uji cobakan menggunakan one group pretest-posttest design. Validitas Silabus (3,87), RPP (3,71), BAS (3,35), LKS (3,63), dan LP Produk (3,58) berkategori sangat baik dan reliabilitas Silabus (99%), RPP (100%), BAS (89), LKS (100%), LP Produk (100%) berkategori reliabel. Tes hasil belajar keterampilan berpikir tingkat tinggi menunjukkan ketuntasan individual rata-rata 82,79, sensitivitas butir soal rata-rata 0,74 dan gain score individual rata-rata 0,82. Respon siswa terhadap perangkat pembelajaran dan kegiatan pembelajaran rata-rata baik.Berdasarkan temuan hasil penelitian dapat disimpulkan bahwa perangkat pembelajaran bentuk molekul dengan pemodelan real ditunjang media PhET berbasis model penemuan terbimbingefektif untuk melatihkan keterampilan berpikir tingkat tinggi siswa.

scholarly journals Interpolation between L∞and H1, the real method

1973 ◽  
Vol 14 (4) ◽  
pp. 401-409 ◽  
Author(s):  
N.M Riviere ◽  
Y Sagher
Keyword(s):  
The Real ◽  
Real Method

The real method

1986 ◽  
pp. 18-32
Author(s):  
Sten Kaijser ◽  
Joan Wick Pelletier
Keyword(s):  
The Real ◽  
Real Method

scholarly journals Impact on Stability by the Use of Memory in Traub-Type Schemes

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 274
Author(s):  
Francisco I. Chicharro ◽  
Alicia Cordero ◽  
Neus Garrido ◽  
Juan R. Torregrosa
Keyword(s):  
Order Of Convergence ◽  
Nonlinear Problems ◽  
Higher Order ◽  
Lower Number ◽  
Dynamical Analysis ◽  
The Real ◽  
Original Scheme ◽  
Interpolation Polynomials ◽  
With Memory ◽  
Number Of Iterations

In this work, two Traub-type methods with memory are introduced using accelerating parameters. To obtain schemes with memory, after the inclusion of these parameters in Traub’s method, they have been designed using linear approximations or the Newton’s interpolation polynomials. In both cases, the parameters use information from the current and the previous iterations, so they define a method with memory. Moreover, they achieve higher order of convergence than Traub’s scheme without any additional functional evaluations. The real dynamical analysis verifies that the proposed methods with memory not only converge faster, but they are also more stable than the original scheme. The methods selected by means of this analysis can be applied for solving nonlinear problems with a wider set of initial estimations than their original partners. This fact also involves a lower number of iterations in the process.

scholarly journals Causality and passivity in elastodynamics

2015 ◽  
Vol 471 (2180) ◽  
pp. 20150256 ◽  
Author(s):  
Ankit Srivastava
Keyword(s):  
Fourier Transforms ◽  
Constitutive Relations ◽  
Higher Order ◽  
Causal Effects ◽  
Passive System ◽  
One Dimensional ◽  
The Real ◽  
Analogous Question ◽  
Derivatives Of ◽  
Special Case

What are the constraints placed on the constitutive tensors of elastodynamics by the requirements that the linear elastodynamic system under consideration be both causal (effects succeed causes) and passive (system does not produce energy)? The analogous question has been tackled in other areas but in the case of elastodynamics its treatment is complicated by the higher order tensorial nature of its constitutive relations. In this paper, we clarify the effect of these constraints on highly general forms of the elastodynamic constitutive relations. We show that the satisfaction of passivity (and causality) directly requires that the hermitian parts of the transforms (Fourier and Laplace) of the time derivatives of the constitutive tensors be positive semi-definite. Additionally, the conditions require that the non-hermitian parts of the Fourier transforms of the constitutive tensors be positive semi-definite for positive values of frequency. When major symmetries are assumed these definiteness relations apply simply to the real and imaginary parts of the relevant tensors. For diagonal and one-dimensional problems, these positive semi-definiteness relationships reduce to simple inequality relations over the real and imaginary parts, as they should. Finally, we extend the results to highly general constitutive relations which include the Willis inhomogeneous relations as a special case.

Extreme Estimates for Interpolated Operators by the Real Method

1999 ◽  
Vol 60 (3) ◽  
pp. 860-870 ◽  
Author(s):  
Fernando Cobos ◽  
Antón Martínez
Keyword(s):  
The Real ◽  
Real Method
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