Newton; Principia; Newton’s Inductive Argument; Three Criticisms; Duhem; Popper; Metaphysical Presuppositions of Scientific Method; Theoretical Unity; New Conception of Science - Articles

Three Criticisms of Newton’s Inductive Argument in the Principia (Articles)

Nicholas Maxwell

Advances in Historical Studies Vol.3 No.1，February 28, 2014

DOI: 10.4236/ahs.2014.31002 4,968 Downloads 7,189 Views Citations
This article belongs to the Special Issue on Newton: History and Historical Epistemology of Science
An Efficient Algorithm for the Numerical Computation of the Complex Eigenpair of a Matrix (Articles)

R. O. Akinola, K. Musa, I. A. Nyam, S. Y. Kutchin, K. V. Joshua

Journal of Applied Mathematics and Physics Vol.5 No.3，March 24, 2017

DOI: 10.4236/jamp.2017.53057 1,318 Downloads 2,173 Views Citations
The Formulas to Compare the Convergences of Newton’s Method and the Extended Newton’s Method (Tsuchikura-Horiguchi Method) and the Numerical Calculations (Articles)

Shunji Horiguchi

Applied Mathematics Vol.7 No.1，January 20, 2016

DOI: 10.4236/am.2016.71004 5,268 Downloads 9,549 Views Citations
On Relations between the General Recurrence Formula of the Extension of Murase-Newton’s Method (the Extension of Tsuchikura*-Horiguchi’s Method) and Horner’s Method (Articles)

Shunji Horiguchi

Applied Mathematics Vol.5 No.4，March 18, 2014

DOI: 10.4236/am.2014.54074 3,910 Downloads 5,792 Views Citations
A New Modification of Newton Method with Cubic Convergence (Articles)

Aurelien Goudjo, Louis Kouye

Advances in Pure Mathematics Vol.11 No.1，January 13, 2021

DOI: 10.4236/apm.2021.111001 473 Downloads 2,117 Views Citations
This article belongs to the Special Issue on Number Theory
A New Family of Nonlinear Fifth-Order Solvers for Finding Simple Roots (Articles)

Behzad Ghanbari

Applied Mathematics Vol.3 No.6，June 26, 2012

DOI: 10.4236/am.2012.36088 4,060 Downloads 6,945 Views Citations
Elusive Zeros under Newton’s Method (Articles)

Trevor M. O’Brien, Gareth E. Roberts

Applied Mathematics Vol.5 No.15，August 19, 2014

DOI: 10.4236/am.2014.515231 4,284 Downloads 5,090 Views Citations
Solution of Delay Differential Equations Using a Modified Power Series Method (Articles)

Oladotun Matthew Ogunlaran, Adeyemi Sunday Olagunju

Applied Mathematics Vol.6 No.4，April 17, 2015

DOI: 10.4236/am.2015.64061 4,077 Downloads 6,362 Views Citations
A Numerical Approach to the Customer Lifetime Value (Articles)

Darkhijav Bayanjargal, Batsukh Davaasuren, Rentsen Enkhbat

iBusiness Vol.10 No.2，June 7, 2018

DOI: 10.4236/ib.2018.102005 1,185 Downloads 3,762 Views Citations
Stability Control of Stretch-Twist-Fold Flow by Using Numerical Methods (Articles)

Shahab Ud-Din Khan, Yonglu Shu, Salah Ud-Din Khan

World Journal of Mechanics Vol.2 No.6，December 31, 2012

DOI: 10.4236/wjm.2012.26039 3,677 Downloads 5,710 Views Citations
The Convergences Comparison between the Halley’s Method and Its Extended One Based on Formulas Derivation and Numerical Calculations (Articles)

Shunji Horiguchi

Applied Mathematics Vol.7 No.18，December 27, 2016

DOI: 10.4236/am.2016.718188 2,862 Downloads 4,804 Views Citations
Gravitational Model of the Three Elements Theory: Mathematical Explanations (Articles)

Frederic Lassiaille

Journal of Modern Physics Vol.4 No.7，July 18, 2013

DOI: 10.4236/jmp.2013.47138 3,282 Downloads 5,247 Views Citations
Steffensen-Type Method of Super Third-Order Convergence for Solving Nonlinear Equations (Articles)

Zhongli Liu, Hong Zhang

Journal of Applied Mathematics and Physics Vol.2 No.7，June 13, 2014

DOI: 10.4236/jamp.2014.27064 5,027 Downloads 6,842 Views Citations
New Fourth Order Iterative Methods Second Derivative Free (Articles)

Osama Y. Ababneh

Journal of Applied Mathematics and Physics Vol.4 No.3，March 23, 2016

DOI: 10.4236/jamp.2016.43058 2,611 Downloads 3,853 Views Citations
New Variants of Newton’s Method for Nonlinear Unconstrained Optimization Problems (Articles)

V. KANWAR, Kapil K. SHARMA, Ramandeep BEHL

Intelligent Information Management Vol.2 No.1，January 27, 2010

DOI: 10.4236/iim.2010.21005 5,490 Downloads 10,387 Views Citations
Solving Large Scale Nonlinear Equations by a New ODE Numerical Integration Method (Articles)

Tianmin Han, Yuhuan Han

Applied Mathematics Vol.1 No.3，September 29, 2010

DOI: 10.4236/am.2010.13027 8,922 Downloads 17,739 Views Citations
A Discrete Newton's Method for Gain Based Predistorter (Articles)

Xiaochen LIN, Minglu JIN, Aifei LIU

Int'l J. of Communications, Network and System Sciences Vol.1 No.1，June 4, 2008

DOI: 10.4236/ijcns.2008.11003 5,287 Downloads 10,463 Views Citations
The Continuous Analogy of Newton’s Method for Solving a System of Linear Algebraic Equations (Articles)

Tugal Zhanlav, Ochbadrakh Chuluunbaatar, Gantumur Ankhbayar

Applied Mathematics Vol.4 No.1A，January 30, 2013

DOI: 10.4236/am.2013.41A032 3,188 Downloads 5,819 Views Citations
This article belongs to the Special Issue on Numerical Analysis
Computational Solutions of Two Dimensional Convection Diffusion Equation Using Crank-Nicolson and Time Efficient ADI (Articles)

Muhammad Saqib, Shahid Hasnain, Daoud Suleiman Mashat

American Journal of Computational Mathematics Vol.7 No.3，August 3, 2017

DOI: 10.4236/ajcm.2017.73019 1,943 Downloads 5,599 Views Citations
Hybrid Steffensen’s Method for Solving Nonlinear Equation (Articles)

Hamideh Eskandari

Applied Mathematics Vol.13 No.9，September 2, 2022

DOI: 10.4236/am.2022.139046 169 Downloads 949 Views Citations

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