Symplectic Partitioned Runge Kutta Algorithm - Articles

Predictive Mathematical and Statistical Modeling of the Dynamic Poverty Problem in Burundi: Case of an Innovative Economic Optimization System (Articles)

Fulgence Nahayo, Ancille Bagorizamba, Marc Bigirimana, Irene Irakoze

Open Journal of Optimization Vol.10 No.4，December 30, 2021

DOI: 10.4236/ojop.2021.104008 337 Downloads 1,386 Views Citations
Study on the Synergetic Mechanism for the Dynamic Evaluation of Electricity Market Operational Efficiency (Articles)

Chunjie Li, Li Yan, Huiru Zhao

Energy and Power Engineering Vol.3 No.3，July 29, 2011

DOI: 10.4236/epe.2011.33046 5,224 Downloads 8,052 Views Citations
On the Derivation and Implementation of a Four Stage Harmonic Explicit Runge-Kutta Method* (Articles)

Ashiribo Senapon Wusu, Moses Adebowale Akanbi, Bakre Omolara Fatimah

Applied Mathematics Vol.6 No.4，April 23, 2015

DOI: 10.4236/am.2015.64064 4,184 Downloads 5,498 Views Citations
An Algorithm to Optimize the Calculation of the Fourth Order Runge-Kutta Method Applied to the Numerical Integration of Kinetics Coupled Differential Equations (Articles)

Sadao Isotani, Walter Maigon Pontuschka, Seiji Isotani

Applied Mathematics Vol.3 No.11，November 7, 2012

DOI: 10.4236/am.2012.311218 8,004 Downloads 13,670 Views Citations
Stress Function of a Rotating Variable-Thickness Annular Disk Using Exact and Numerical Methods (Articles)

Ashraf M. Zenkour, Daoud S. Mashat

Engineering Vol.3 No.4，April 8, 2011

DOI: 10.4236/eng.2011.34048 6,906 Downloads 11,970 Views Citations
Stepsize Selection in Explicit Runge-Kutta Methods for Moderately Stiff Problems (Articles)

Justin Steven Calder Prentice

Applied Mathematics Vol.2 No.6，June 21, 2011

DOI: 10.4236/am.2011.26094 8,854 Downloads 15,244 Views Citations
Comparison between Analytical Solution and Experimental Setup of a Short Long Ytterbium Doped Fiber Laser (Articles)

M. R. A. Moghaddam, S. W. Harun, H. Ahmad

Optics and Photonics Journal Vol.2 No.2，June 28, 2012

DOI: 10.4236/opj.2012.22010 7,848 Downloads 13,324 Views Citations
Two Implicit Runge-Kutta Methods for Stochastic Differential Equation (Articles)

Fuwen Lu, Zhiyong Wang

Applied Mathematics Vol.3 No.10，October 12, 2012

DOI: 10.4236/am.2012.310162 5,483 Downloads 9,074 Views Citations
Runge-Kutta Schemes Coefficients Simulation for Comparison and Visual Effects (Articles)

Tajudeen Abiola Ogunniyi Salau, Olusegun Olufemi Ajide

Engineering Vol.5 No.5，May 23, 2013

DOI: 10.4236/eng.2013.55063 4,243 Downloads 6,070 Views Citations
The Differential Quadrature Solution of Reaction-Diffusion Equation Using Explicit and Implicit Numerical Schemes (Articles)

Mohamed Salah, R. M. Amer, M. S. Matbuly

Applied Mathematics Vol.5 No.3，February 7, 2014

DOI: 10.4236/am.2014.53033 5,688 Downloads 9,969 Views Citations
Numerical Simulation of Two-Dimensional Dendritic Growth Using Phase-Field Model (Articles)

Abdullah Shah, Ali Haider, Said Karim Shah

World Journal of Mechanics Vol.4 No.5，May 26, 2014

DOI: 10.4236/wjm.2014.45015 6,624 Downloads 9,274 Views Citations
Unconditionally Explicit Stable Difference Schemes for Solving Some Linear and Non-Linear Parabolic Differential Equation (Articles)

Masaharu Nakashima

Journal of Applied Mathematics and Physics Vol.3 No.11，November 27, 2015

DOI: 10.4236/jamp.2015.311176 2,680 Downloads 3,560 Views Citations
Design and Analysis of Some Third Order Explicit Almost Runge-Kutta Methods (Articles)

Abdulrahman Ndanusa, Khadeejah James Audu

Applied Mathematics Vol.7 No.1，January 14, 2016

DOI: 10.4236/am.2016.71002 4,868 Downloads 6,387 Views Citations
Comparison of Mathematical Methods to Obtain Concentration and Temperature of Newtonian Fluids in Tubular Reactors (Articles)

Diego Alves de Miranda, Renato Cristofolini, Emerson José Corazza, Gilson João dos Santos, Claiton Emilio do Amaral

Open Access Library Journal Vol.5 No.2，February 12, 2018

DOI: 10.4236/oalib.1104329 777 Downloads 1,652 Views Citations
The Pressure Control Strategy Adjustment of High-Pressure Oil Pipe (Articles)

Yeping Liang, Zhezhi Jin

Open Access Library Journal Vol.7 No.5，May 18, 2020

DOI: 10.4236/oalib.1106369 216 Downloads 949 Views Citations
Pressure Control of High Pressure Tubing (Articles)

Shilin Hu, Yu Quan

Open Access Library Journal Vol.7 No.5，May 19, 2020

DOI: 10.4236/oalib.1106351 253 Downloads 997 Views Citations
A New Mathematical Modeling of the COVID-19 Pandemic Including the Vaccination Campaign (Articles)

Mehmet Yavuz, Fatma Özlem Coşar, Fatma Günay, Feyza Nur Özdemir

Open Journal of Modelling and Simulation Vol.9 No.3，July 20, 2021

DOI: 10.4236/ojmsi.2021.93020 1,087 Downloads 5,748 Views Citations
Production of the Reduction Formula of Seventh Order Runge-Kutta Method with Step Size Control of an Ordinary Differential Equation (Articles)

Georgios D. Trikkaliotis, Maria Ch. Gousidou-Koutita

Applied Mathematics Vol.13 No.4，April 27, 2022

DOI: 10.4236/am.2022.134023 298 Downloads 1,797 Views Citations
Derivation of the Reduction Formula of Sixth Order and Seven Stages Runge-Kutta Method for the Solution of an Ordinary Differential Equation (Articles)

Georgios D. Trikkaliotis, Maria Ch. Gousidou-Koutita

Applied Mathematics Vol.13 No.4，April 27, 2022

DOI: 10.4236/am.2022.134024 380 Downloads 3,122 Views Citations
New Algorithms for Solving Bordered k-Tridiagonal Linear Systems (Articles)

Moawwad El-Mikkawy, Faiz Atlan

Journal of Applied Mathematics and Physics Vol.3 No.7，July 15, 2015

DOI: 10.4236/jamp.2015.37107 3,479 Downloads 4,506 Views Citations

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