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2011, ISBN 019957040X, xvii, 424
Isaac Newton's Scientific Method examines Newton's argument for universal gravity and his application of it to resolve the problem of deciding between geocentric and heliocentric world systems... 
Cosmology | Gravitation | Newton, Isaac, 1642-1727 | Gravity | Physics | history of Western philosophy | 1642-1727 | Sir | Newton, Isaac | Einstein | Scientific progress | Newton | Empirical success | Prediction | Theory-mediated measurement
Book
International journal of machine tools & manufacture, ISSN 0890-6955, 2015, Volume 94, pp. 88 - 99
A shear-thickening polishing (STP) method utilizing the shear thickening mechanism of non-Newtonian power-law fluid based slurry is proposed for curved surface polishing... 
Polishing | Shear-thickening effect | Curved surface | STP | Material removal model | Non-Newtonian fluid | FORM | VISCOSITY | ENGINEERING, MECHANICAL | FLUID | MODELS | MATERIAL REMOVAL RATE | ENGINEERING, MANUFACTURING | Newton's laws of motion | Analysis | Methods | Grain size | Computational fluid dynamics | Newtonian fluids | Fluid flow | Surface roughness | Abrasives | Slurries
Journal Article
Journal of Engineering Mechanics, ISSN 0733-9399, 06/2019, Volume 145, Issue 6, p. 4019036
AbstractThis work aims at the unconstrained optimization of laminate plate problems by introducing a methodology that uses a decomposition method along with regularized Newton method... 
Technical Papers | SANDWICH PLATES | FINITE-ELEMENTS | COMPOSITE PLATES | VIBRATION | SEARCH | LINEAR ELASTIC SYMMETRIES | RECURSIVE METHODOLOGY | DIFFERENTIAL-EQUATIONS | PROOF | FORMULATION | ENGINEERING, MECHANICAL | Rayleigh-Ritz method | Solution space | Mathematical analysis | Newton methods | Fiber orientation | Product design | Decomposition | Thin plates | Optimization
Journal Article
Computers & mathematics with applications (1987), ISSN 0898-1221, 2005, Volume 50, Issue 10-12, pp. 1559 - 1568
In this paper, we present a sequence of iterative methods improving Newton's method for solving nonlinear equations... 
Order of convergence | Newton's method | Nonlinear equations | Iterative methods | Adomian decomposition method | iterative methods | nonlinear equations | MATHEMATICS, APPLIED | adomian decomposition method | EQUATIONS | CONVERGENCE | order of convergence | VARIANT
Journal Article
2013, ISBN 9780199921850, xv, 177
...? This book proposes and defends several objective concepts of evidence. It then explores the question of whether a scientific method, such as that represented in the four... 
Science | Newton, Isaac, 1642-1727 | Methodology | History | Maxwell, James Clerk, 1831-1879 | Verification (Empiricism) | philosophy of science | Newton, Isaac,-1642-1727 | Science-Methodology-History-18th century | Maxwell, James Clerk,-1831-1879 | Science-Methodology-History-19th century
Book
SIAM journal on optimization, ISSN 1095-7189, 2009, Volume 20, Issue 2, pp. 602 - 626
Journal Article
Astronomy and Astrophysics, ISSN 0004-6361, 02/2011, Volume 526, Issue 10, p. A79
.... We quantify this effect in the case of a well-known cluster sample, HIFLUGCS. Methods. We simulate a population of X-ray clusters with various surface-brightness profiles, and use the instrumental characteristics of the ROSAT All-Sky Survey (RASS... 
galaxies: clusters: intracluster medium | X-rays: galaxies: clusters | galaxies: clusters: general | ROSAT | PROFILES | T RELATION | FLUX-LIMITED SAMPLE | LUMINOSITY FUNCTION | INTRACLUSTER MEDIUM | ASTRONOMY & ASTROPHYSICS | GAS | XMM-NEWTON OBSERVATIONS | DARK-MATTER | ENTROPY
Journal Article
Applied mathematics letters, ISSN 0893-9659, 2014, Volume 29, pp. 20 - 25
A simple modification to the standard Newton method for approximating the root of a univariate function is described and analyzed... 
Newton’s method | Non-linear equations | Root-finding | Iterative methods | Newton's method | Newton-Raphson method | Approximation | Mathematical analysis | Newton methods | Mathematical models | Derivatives | Standards | Convergence
Journal Article
Mathematical programming, ISSN 1436-4646, 2018, Volume 174, Issue 1-2, pp. 293 - 326
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2013, Volume 35, Issue 2, pp. B401 - B437
Journal Article
Journal Article