Randolph Rach

4.8k total citations
138 papers, 4.0k citations indexed

About

Randolph Rach is a scholar working on Modeling and Simulation, Numerical Analysis and Statistical and Nonlinear Physics. According to data from OpenAlex, Randolph Rach has authored 138 papers receiving a total of 4.0k indexed citations (citations by other indexed papers that have themselves been cited), including 63 papers in Modeling and Simulation, 60 papers in Numerical Analysis and 39 papers in Statistical and Nonlinear Physics. Recurrent topics in Randolph Rach's work include Fractional Differential Equations Solutions (63 papers), Numerical methods for differential equations (32 papers) and Nonlinear Waves and Solitons (25 papers). Randolph Rach is often cited by papers focused on Fractional Differential Equations Solutions (63 papers), Numerical methods for differential equations (32 papers) and Nonlinear Waves and Solitons (25 papers). Randolph Rach collaborates with scholars based in United States, China and Saudi Arabia. Randolph Rach's co-authors include G. Adomian, Jun‐Sheng Duan, Abdul–Majid Wazwaz, Hooman Fatoorehchi, Lazhar Bougoffa, Hossein Abolghasemi, Ronald E. Meyers, Temuer Chaolu, Amin Farrokhabadi and Y. Cherruault and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Applied Physics and International Journal of Solids and Structures.

In The Last Decade

Randolph Rach

137 papers receiving 3.7k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Randolph Rach United States 36 2.7k 2.1k 1.1k 549 546 138 4.0k
George Adomian United States 8 2.5k 0.9× 1.8k 0.9× 1.2k 1.1× 459 0.8× 477 0.9× 11 3.5k
Li-Lian Wang China 30 1.6k 0.6× 2.0k 1.0× 460 0.4× 797 1.5× 851 1.6× 111 4.4k
Jafar Biazar Iran 34 3.1k 1.2× 2.3k 1.1× 1000 0.9× 595 1.1× 535 1.0× 184 3.8k
Jun‐Sheng Duan China 23 1.5k 0.6× 1.0k 0.5× 532 0.5× 371 0.7× 261 0.5× 93 2.0k
S. Saha Ray India 38 3.8k 1.4× 1.9k 0.9× 2.9k 2.6× 656 1.2× 525 1.0× 269 5.0k
R. K. Saxena India 25 1.8k 0.7× 778 0.4× 599 0.5× 1.4k 2.6× 243 0.4× 116 3.4k
Ben‐yu Guo China 25 1.1k 0.4× 1.6k 0.8× 405 0.4× 461 0.8× 561 1.0× 90 2.6k
Frank Stenger United States 29 673 0.3× 1.2k 0.6× 251 0.2× 754 1.4× 420 0.8× 114 3.9k
Р. Р. Нигматуллин Russia 28 1.3k 0.5× 491 0.2× 640 0.6× 335 0.6× 423 0.8× 188 3.1k
J.I. Ramos Spain 24 769 0.3× 990 0.5× 592 0.5× 157 0.3× 202 0.4× 253 3.0k

Countries citing papers authored by Randolph Rach

Since Specialization
Citations

This map shows the geographic impact of Randolph Rach's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Randolph Rach with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Randolph Rach more than expected).

Fields of papers citing papers by Randolph Rach

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Randolph Rach. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Randolph Rach. The network helps show where Randolph Rach may publish in the future.

Co-authorship network of co-authors of Randolph Rach

This figure shows the co-authorship network connecting the top 25 collaborators of Randolph Rach. A scholar is included among the top collaborators of Randolph Rach based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Randolph Rach. Randolph Rach is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Rach, Randolph, et al.. (2014). Solving the Lane–Emden–Fowler Type Equations ofHigher Orders by the Adomian Decomposition Method. Computer Modeling in Engineering & Sciences. 100(6). 507–529. 2 indexed citations
2.
Duan, Jun‐Sheng, et al.. (2013). A New Modified Adomian Decomposition Method forHigher-Order Nonlinear Dynamical Systems. Computer Modeling in Engineering & Sciences. 94(1). 77–118. 3 indexed citations
3.
Wazwaz, Abdul–Majid, Randolph Rach, & Jun‐Sheng Duan. (2013). The modified Adomian decomposition method and the noise terms phenomenon for solving nonlinear weakly-singular Volterra and Fredholm integral equations. Open Engineering. 3(4). 669–678. 16 indexed citations
4.
Adomian, G. & Randolph Rach. (1996). Modified Adomian Polynomials. Mathematical and Computer Modelling. 24(11). 39–46. 81 indexed citations
5.
Adomian, G. & Randolph Rach. (1992). Nonlinear transformation of series—part II. Computers & Mathematics with Applications. 23(10). 79–83. 30 indexed citations
6.
Adomian, G. & Randolph Rach. (1992). Noise terms in decomposition solution series. Computers & Mathematics with Applications. 24(11). 61–64. 148 indexed citations
7.
Adomian, G. & Randolph Rach. (1992). Generalization of adomian polynomials to functions of several variables. Computers & Mathematics with Applications. 24(5-6). 11–24. 35 indexed citations
8.
Adomian, G., Randolph Rach, & Ronald E. Meyers. (1991). Numerical algorithms and decomposition. Computers & Mathematics with Applications. 22(8). 57–61. 17 indexed citations
9.
Rach, Randolph, et al.. (1990). On approximate solution of a nonlinear differential equation. Applied Mathematics Letters. 3(3). 101–102. 1 indexed citations
10.
Adomian, G., M. K. Elrod, & Randolph Rach. (1989). A new approach to boundary value equations and application to a generalization of Airy's equation. Journal of Mathematical Analysis and Applications. 140(2). 554–568. 15 indexed citations
11.
Adomian, G. & Randolph Rach. (1988). Evaluation of integrals by decomposition. Journal of Computational and Applied Mathematics. 23(1). 99–101. 2 indexed citations
12.
Rach, Randolph. (1987). On the Adomian (decomposition) method and comparisons with Picard's method. Journal of Mathematical Analysis and Applications. 128(2). 480–483. 70 indexed citations
13.
Adomian, G. & Randolph Rach. (1986). Solving nonlinear differential equations with decimal power nonlinearities. Journal of Mathematical Analysis and Applications. 114(2). 423–425. 13 indexed citations
14.
Adomian, G. & Randolph Rach. (1986). On composite nonlinearities and the decomposition method. Journal of Mathematical Analysis and Applications. 113(2). 504–509. 36 indexed citations
15.
Adomian, G. & Randolph Rach. (1986). On the solution of nonlinear differential equations with convolution product nonlinearities. Journal of Mathematical Analysis and Applications. 114(1). 171–175. 25 indexed citations
16.
Adomian, G. & Randolph Rach. (1985). An algorithm for transient dynamic analysis. 2(4). 321–327. 1 indexed citations
17.
Adomian, G. & Randolph Rach. (1985). Algebraic equations with exponential terms. Journal of Mathematical Analysis and Applications. 112(1). 136–140. 17 indexed citations
18.
Adomian, G. & Randolph Rach. (1983). A nonlinear differential delay equation. Journal of Mathematical Analysis and Applications. 91(2). 301–304. 18 indexed citations
19.
Adomian, G. & Randolph Rach. (1983). Nonlinear stochastic differential delay equations. Journal of Mathematical Analysis and Applications. 91(1). 94–101. 52 indexed citations
20.
Adomian, G. & Randolph Rach. (1983). Inversion of nonlinear stochastic operators. Journal of Mathematical Analysis and Applications. 91(1). 39–46. 160 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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