scholarly journals Finding the Zeros of a High-Degree Polynomial Sequence

2021 ◽  
Vol 29 (2) ◽  
pp. 119
Author(s):  
Vladimir L. Borsch ◽  
Peter I. Kogut
Keyword(s):  
Degree Polynomial ◽  
Polynomial Sequence ◽  
High Degree

scholarly journals Efficient high degree polynomial root finding using GPU

2017 ◽  
Vol 18 ◽  
pp. 46-56 ◽  
Author(s):  
Kahina Ghidouche ◽  
Abderrahmane Sider ◽  
Raphaël Couturier ◽  
Christophe Guyeux
Keyword(s):  
Degree Polynomial ◽  
Root Finding ◽  
High Degree ◽  
Polynomial Root Finding

A subdivision algorithm to reason on high-degree polynomial constraints over finite domains

2019 ◽  
Vol 87 (4) ◽  
pp. 343-360
Author(s):  
Federico Bergenti ◽  
Stefania Monica
Keyword(s):  
Degree Polynomial ◽  
Subdivision Algorithm ◽  
High Degree ◽  
Finite Domains ◽  
Polynomial Constraints

High Degree Polynomial Interpolation in Newton Form

1991 ◽  
Vol 12 (3) ◽  
pp. 648-667 ◽  
Author(s):  
Hillel Tal-Ezer
Keyword(s):  
Polynomial Interpolation ◽  
Degree Polynomial ◽  
High Degree

Polynomial Surface Representation of Arbitrary Ship Forms

1960 ◽  
Vol 4 (02) ◽  
pp. 12-21 ◽  
Author(s):  
J. E. Kerwin
Keyword(s):  
Degree Polynomial ◽  
Surface Representation ◽  
Numerical Examples ◽  
Hydrodynamic Calculations ◽  
Analytic Expression ◽  
Hull Forms ◽  
High Degree ◽  
Polynomial Surface

This paper is concerned with the approximation of an arbitrary hull shape by an analytic expression to be used primarily for hydrodynamic calculations. A method is described which permits high-degree polynomial surface equations to be used as approximations of a wide variety of hull shapes. Numerical examples obtained with an IBM 704 computer show that the procedure produces hull forms which are sufficiently accurate for most hydrodynamic calculations.

scholarly journals Oblivious Sketching of High-Degree Polynomial Kernels

2020 ◽  
pp. 141-160 ◽  
Author(s):  
Thomas D. Ahle ◽  
Michael Kapralov ◽  
Jakob B. T. Knudsen ◽  
Rasmus Pagh ◽  
Ameya Velingker ◽  
...  
Keyword(s):  
Degree Polynomial ◽  
High Degree ◽  
Polynomial Kernels

High-degree polynomial models for CT simulation

2012 ◽  
Vol 20 (4) ◽  
pp. 447-457
Author(s):  
Yingkang Hu ◽  
Jiehua Zhu
Keyword(s):  
Degree Polynomial ◽  
Ct Simulation ◽  
Polynomial Models ◽  
High Degree

Some Remarks on High Degree Polynomial Integrals of the Magnetic Geodesic Flow on the Two-Dimensional Torus

2021 ◽  
Vol 62 (4) ◽  
pp. 581-585
Author(s):  
S. V. Agapov ◽  
A. A. Valyuzhenich ◽  
V. V. Shubin
Keyword(s):  
Geodesic Flow ◽  
Two Dimensional ◽  
Dimensional Torus ◽  
Degree Polynomial ◽  
High Degree

scholarly journals New Possibilities and Applications of the Least Squares Collocation Method

2018 ◽  
Vol 173 ◽  
pp. 01012 ◽  
Author(s):  
Vasiliy Shapeev ◽  
Vasiliy Belyaev ◽  
Sergey Golushko ◽  
Semyon Idimeshev
Keyword(s):  
Least Squares ◽  
Numerical Method ◽  
Present Article ◽  
Collocation Method ◽  
Numerical Experiments ◽  
High Accuracy ◽  
Least Squares Collocation ◽  
Degree Polynomial ◽  
Anisotropic Plates ◽  
High Degree

Least squares collocation method (LSC) is a versatile numerical method for solving boundary value problems for PDE. The present article demonstrates the abilities of LSC to solve various problems – in particular, calculations of bending of isotropic irregular shaped plates and multi-layered anisotropic plates. In order to achieve higher accuracy, new versions of the method utilize high-degree polynomial spaces. The numerical experiments demonstrate high accuracy of the solutions.

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