scholarly journals A Highly Efficient Computer Method for Solving Polynomial Equations Appearing in Engineering Problems

2021 ◽  
Vol 2021 ◽  
pp. 1-22
Author(s):  
Naila Rafiq ◽  
Mudassir Shams ◽  
Nazir Ahmad Mir ◽  
Yaé Ulrich Gaba
Keyword(s):  
Computer Method ◽  
Polynomial Equations ◽  
Literature Analysis ◽  
Complex Polynomials ◽  
Highly Efficient ◽  
Engineering Problems ◽  
Numerical Performance ◽  
And Performance ◽  
Very High ◽  
High Computational Efficiency

A highly efficient two-step simultaneous iterative computer method is established here for solving polynomial equations. A suitable special type of correction helps us to achieve a very high computational efficiency as compared to the existing methods so far in the literature. Analysis of simultaneous scheme proves that its convergence order is 14. Residual graphs are also provided to demonstrate the efficiency and performance of the newly constructed simultaneous computer method in comparison with the methods given in the literature. In the end, some engineering problems and some higher degree complex polynomials are solved numerically to validate its numerical performance.

scholarly journals Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Mudassir Shams ◽  
Naila Rafiq ◽  
Nasreen Kausar ◽  
Praveen Agarwal ◽  
Choonkil Park ◽  
...  
Keyword(s):  
Iterative Methods ◽  
Computational Efficiency ◽  
Numerical Test ◽  
Polynomial Equation ◽  
Multiple Roots ◽  
Simultaneous Methods ◽  
Numerical Performance ◽  
Very High ◽  
High Computational Efficiency

AbstractTwo new iterative methods for the simultaneous determination of all multiple as well as distinct roots of nonlinear polynomial equation are established, using two suitable corrections to achieve a very high computational efficiency as compared to the existing methods in the literature. Convergence analysis shows that the orders of convergence of the newly constructed simultaneous methods are 10 and 12. At the end, numerical test examples are given to check the efficiency and numerical performance of these simultaneous methods.

Noise Reduction by Using Composite Plate

2008 ◽  
Vol 47-50 ◽  
pp. 1229-1232
Author(s):  
C.W. Chau ◽  
Y.S. Choy ◽  
Kin Tak Lau ◽  
Yang Liu
Keyword(s):  
Noise Reduction ◽  
Carbon Fibers ◽  
Side Branch ◽  
Bending Stiffness ◽  
Composite Panel ◽  
Expansion Chamber ◽  
Noise Abatement ◽  
High Tension ◽  
And Performance ◽  
Very High

The plate silencer1 which consists of an expansion chamber with two side branch cavities covered by a light panel can achieve a desirable noise reduction in broadband theoretically. The concept is similar to drum silencer2. To attain optimal noise reduction, either the membrane should be of minimal weight while retaining very high tension or the panel should be kept with very high bending stiffness that is dependent on its geometry and mechanical properties. To achieve such goal, various kinds of composite system such as carbon fibers or aluminum were mounted on light core foam. A design of the composite panel which can provide a reduction in panel weight as well as enhance the bending stiffness, is introduced in this project. Predictions of the new model are to be compared with the normal foam plate in the aspects of noise reflection capability and performance of noise abatement apart from the material properties.

Phosphate removal in real anaerobic supernatants: modelling and performance of a fluidized bed reactor

1998 ◽  
Vol 38 (1) ◽  
pp. 275-283 ◽  
Author(s):  
P. Battistoni ◽  
P. Pavan ◽  
F. Cecchi ◽  
J. Mata-Alvarez
Keyword(s):  
Fluidized Bed ◽  
Contact Time ◽  
Fluidized Bed Reactor ◽  
Phosphate Removal ◽  
Plant Design ◽  
Air Stripping ◽  
And Performance ◽  
Ph Range ◽  
Very High ◽  
A2o Process

Phosphate removal in anaerobic supernatant coming from a centrifugation sludge station of an A2O process is studied. A fluidized bed reactor is employed to crystallize phosphate as hydroxyapatite or struvite using only air stripping to reach the supersaturation pH. The classic composition of supernatant (alkalinity 3550 mgCaCO3/l, PO4 139 mg/l, Mg 24 mg/l) does not require any addition of chemicals for phosphate removal. Seventeen runs are performed in a bench scale FBR obtaining very high conversion and removal efficiency and phosphate loss in the effluent ≤3.5%. The use of Ca or Mg enriched supernatant has no meaningful influence on efficiency, but it determines the prevalent salt formed between MAP or HAP. Efficiency can be related to pH and sand contact time in a double saturational model. The half efficiency constants: 0.075 h for t and 7.75 pH, have an important role in the process knowledge and optimization of plant design. Exhaust sand analysis indicates the same composition at the top, bottom and mean of the sand bed (39% mol MAP and 61% mol HAP). This result together with the high half efficiency constant for contact time indicate that the phosphate growth on the bed is not competitive. Finally, the phosphate release from the plant is studied. Results show a weak release rate, equivalent to 2.8-10% d−1 phosphate as MAP, obtained at an operative pH range of 8.1-8.4.

Viterbi Decoder in Hardware

2018 ◽  
pp. 6307-6318
Author(s):  
Mário Pereira Véstias
Keyword(s):  
Maximum Likelihood ◽  
Viterbi Algorithm ◽  
Viterbi Decoder ◽  
Maximum Likelihood Decoding ◽  
High Data ◽  
Design Requirements ◽  
Trellis Decoding ◽  
And Performance ◽  
Viterbi Decoders ◽  
Very High

Trellis decoding is used to recover encoded information that was corrupted during transmission over a noisy channel. The Viterbi algorithm is the most well known trellis-based maximum likelihood decoding algorithm. The Viterbi algorithm is executed by a Viterbi decoder. Different hardware solutions may be considered to implement a Viterbi decoder with different design requirements in terms of area, performance, power consumption, among others. The most appropriate solution depends on the metric requirements of the application as well as on the target technology. Properties of the Viterbi algorithm are used to simplify and improve the architecture of the Viterbi decoder. In particular, statistical properties of the Viterbi algorithm are used to design parallel Viterbi decoders with very high data decoding rates. The article focuses on the implementation of a Viterbi decoder in hardware, including optimizations to improve the area and performance.

Hot Isostatic Processing

2004 ◽  
pp. 55-60
Keyword(s):  
Aluminum Alloy ◽  
Hot Isostatic Pressing ◽  
High Quality ◽  
Advantages And Disadvantages ◽  
Radiographic Inspection ◽  
Hot Isostatic Processing ◽  
Alloy Castings ◽  
And Performance ◽  
Hip Process ◽  
Very High

Abstract Hot isostatic pressing (HIP) is a process refinement available to address internal porosity in castings. The HIP process may be used, in particular, for applications requiring very high quality and performance. This chapter discusses the principles, advantages, and disadvantages of HIP. It describes the effect of HIP on tensile properties and on the fatigue performance of aluminum alloy castings. In addition, the chapter discusses the processes involved in radiographic inspection of HIP-processed castings.

Genetic variation of rectal temperature and its relationship to milk production in Holstein dairy cows

2009 ◽  
Vol 2009 ◽  
pp. 63-63
Author(s):  
S Khalajzade ◽  
N Emam Jomeh ◽  
A Salehi ◽  
A Moghimi Esfandabadi
Keyword(s):  
Heat Stress ◽  
Dairy Cows ◽  
Milk Production ◽  
Heat Tolerance ◽  
Rectal Temperature ◽  
Weather Factors ◽  
And Performance ◽  
Very High ◽  
Selection Of ◽  
Holstein Dairy Cows

Milk production is significantly decreased by thermal stress. The survival and performance of an animal during heat stress periods depend on several weather factors, especially temperature and humidity. Researchers reported dramatic decreases in milk production as temperature rose above 30 degree of centigrade. Very high environmental temperature is common during the summer months in Iran. Rectal temperature is as indicator of heat tolerance and has been the most frequently used physiological variable for estimating heat tolerance in cattle. Some dairy cows are more heat tolerant and productive when subjected to heat stress. Identification and selection of heat stress resistant cattle offers the potential to increase milk yield in tropical environment. The aim of the present study was to estimate genetic parameters of heat tolerance and its relationship to milk production in Holstein Dairy Cows in Iran.

A Method for Computation of Wave Propagation in Heterogeneous Solids: Implementation and Performance

2013 ◽  
Author(s):  
S. S. Cho ◽  
K. C. Park ◽  
R. Kolman
Keyword(s):  
Wave Propagation ◽  
Plane Stress ◽  
Three Dimensional ◽  
High Fidelity ◽  
Computer Implementation ◽  
Heterogeneous Solids ◽  
Computational Performance ◽  
Numerical Performance ◽  
And Performance ◽  
Present Algorithm

Computer implementation of the new algorithm developed in [1, 2, 3] and its numerical performance is presented, with detailed discussions of the element-by-element decomposition of the extensional and shear components and step-by-step algorithmic procedures. Numerical results as applied to wave propagating through cracked plane stress problems, three-dimensional problems and elasto-plastic problems illustrate high-fidelity of the present algorithm compared with existing ones, and the new algorithm is implemented into an open source research code TAHOE[4] code along with the further computational performance.

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