Parker-Sochacki method for solving systems of ordinary differential equations using graphics processors-Reference-Cited by-同舟云学术

Parker-Sochacki method for solving systems of ordinary differential equations using graphics processors

Published:2011-07 Issue:3 Volume:4 Page:223-233
ISSN:1995-4239
Container-title:Numerical Analysis and Applications
language:en
Short-container-title:Numer. Analys. Appl.

Author:

Nurminskii E. A.,Buryi A. A.

Publisher

Pleiades Publishing Ltd

Subject

Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1134/S1995423911030049.pdf

Reference12 articles.

1. Pruett, C.D., Rudmin, J.W., and Lacy, J.M., An Adaptive N-Body Algorithm of Optimal Order; http://www.sciencedirect.com/science/article/B6WHY-484SHBH-2/2/00e4db5cd90f5a49c9347cfa8b60308a .

2. Stewart, R. and Bair, W., Spiking Neural Network Simulation: Numerical Integration with the Parker-Sochacki Method, J. Comput. Neurosci., 2009, vol. 27, no. 1, pp. 115–133; http://dx.doi.org/10.1007/s10827-008-0131-5 .

3. Parker, G.E. and Sochacki, J.S., Implementing the Picard Iteration, Neural, Parallel Sci. Comput., 1996, vol. 4, no. 1, pp. 97–112.

4. Arnold, V.I., Obyknovennye differentsial’nye uravneniya (Ordinary Differential Equations), Izhevsk: Izhevsk. Respubl. Tipograf., 2000.

5. Pruett, C.D., Rudmin, J.W., and Lacy, J.M., An Adaptive N-Body Algorithm of Optimal Order, J. Comput. Phys., 2003, vol. 187, no. 1, pp. 298–317.

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Kashuri Fundo Decomposition Method for Solving Michaelis-Menten Nonlinear Biochemical Reaction Model;Match Communications in Mathematical and in Computer Chemistry;2023-04

2. A New Analytic Approximation of Luminosity Distance in Cosmology Using the Parker–Sochacki Method;Universe;2022-05-26

3. Egg 10: Newton’s N-Body Problem;Applying Power Series to Differential Equations;2022

4. A PDE method for estimation of implied volatility;Quantitative Finance;2019-11-18

5. A PDE Method for Estimation of Implied Volatility;SSRN Electronic Journal;2018