Melvyn S. Berger

2.1k total citations
66 papers, 1.4k citations indexed

About

Melvyn S. Berger is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Numerical Analysis. According to data from OpenAlex, Melvyn S. Berger has authored 66 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Applied Mathematics, 23 papers in Computational Theory and Mathematics and 16 papers in Numerical Analysis. Recurrent topics in Melvyn S. Berger's work include Advanced Mathematical Modeling in Engineering (18 papers), Differential Equations and Numerical Methods (10 papers) and Differential Equations and Boundary Problems (9 papers). Melvyn S. Berger is often cited by papers focused on Advanced Mathematical Modeling in Engineering (18 papers), Differential Equations and Numerical Methods (10 papers) and Differential Equations and Boundary Problems (9 papers). Melvyn S. Berger collaborates with scholars based in United States, United Kingdom and Germany. Melvyn S. Berger's co-authors include L. E. Fraenkel, Martin Schechter, Paul C. Fife, P. T. Church, K. H. Phua, Tamar Schlick, Xiaolei Zou, François‐Xavier Le Dimet, I. M. Navon and J. G. Timourian and has published in prestigious journals such as Proceedings of the National Academy of Sciences, IEEE Transactions on Electron Devices and Communications in Mathematical Physics.

In The Last Decade

Melvyn S. Berger

62 papers receiving 1.1k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Melvyn S. Berger United States 20 707 547 343 256 190 66 1.4k
M. M. Vaĭnberg United States 6 385 0.5× 463 0.8× 325 0.9× 298 1.2× 191 1.0× 8 1.2k
L. E. Fraenkel United Kingdom 19 669 0.9× 354 0.6× 263 0.8× 195 0.8× 756 4.0× 62 1.7k
E. H. Rothe United States 10 1.2k 1.7× 941 1.7× 525 1.5× 542 2.1× 182 1.0× 22 2.2k
Walter Littman United States 20 681 1.0× 735 1.3× 698 2.0× 153 0.6× 107 0.6× 49 1.4k
Marvin Shinbrot Canada 21 882 1.2× 357 0.7× 575 1.7× 142 0.6× 369 1.9× 72 1.7k
Giovanni Alberti Italy 23 796 1.1× 564 1.0× 406 1.2× 69 0.3× 222 1.2× 86 1.7k
Klaus Kirchgässner Germany 16 229 0.3× 166 0.3× 237 0.7× 144 0.6× 198 1.0× 39 1.1k
C. J. Amick United States 22 611 0.9× 267 0.5× 592 1.7× 223 0.9× 241 1.3× 42 1.6k
G. F. Roach United Kingdom 16 180 0.3× 477 0.9× 529 1.5× 220 0.9× 189 1.0× 85 1.5k
Carlo Miranda Italy 9 662 0.9× 575 1.1× 454 1.3× 180 0.7× 137 0.7× 18 1.1k

Countries citing papers authored by Melvyn S. Berger

Since Specialization
Citations

This map shows the geographic impact of Melvyn S. Berger'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 Melvyn S. Berger with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Melvyn S. Berger more than expected).

Fields of papers citing papers by Melvyn S. Berger

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Melvyn S. Berger. 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 Melvyn S. Berger. The network helps show where Melvyn S. Berger may publish in the future.

Co-authorship network of co-authors of Melvyn S. Berger

This figure shows the co-authorship network connecting the top 25 collaborators of Melvyn S. Berger. A scholar is included among the top collaborators of Melvyn S. Berger 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 Melvyn S. Berger. Melvyn S. Berger 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.
Berger, Melvyn S., et al.. (1989). Symmetric vortices for the Ginzberg-Landau equations of superconductivity and the nonlinear desingularization phenomenon. Journal of Functional Analysis. 82(2). 259–295. 67 indexed citations
2.
Berger, Melvyn S., P. T. Church, & J. G. Timourian. (1988). Folds and cusps in Banach spaces with applications to nonlinear partial differential equations. II. Transactions of the American Mathematical Society. 307(1). 225–244. 11 indexed citations
3.
Berger, Melvyn S.. (1985). Geometrical Methods of Nonlinear Analysis (M. A. Krasnosel’skii and P. P. Zabreiko). SIAM Review. 27(2). 261–262. 28 indexed citations
4.
Berger, Melvyn S. & Enrico Bombieri. (1981). On Poincaré's isoperimetric problem for simple closed geodesics. Journal of Functional Analysis. 42(3). 274–298. 11 indexed citations
5.
Berger, Melvyn S., et al.. (1980). On the singularities of nonlinear Fredholm operators of positive index. Proceedings of the American Mathematical Society. 79(2). 217–221. 5 indexed citations
6.
Berger, Melvyn S. & Martin Schechter. (1977). On the solvability of semilinear gradient operator equations. Advances in Mathematics. 25(2). 97–132. 88 indexed citations
7.
Berger, Melvyn S., et al.. (1973). A convergent iteration scheme for bifurcation theory in Banach spaces. Journal of Mathematical Analysis and Applications. 43(1). 136–144. 6 indexed citations
8.
Berger, Melvyn S.. (1973). Critical point theory for nonlinear eigenvalue problems with indefinite principal part. Transactions of the American Mathematical Society. 186. 151–151. 3 indexed citations
9.
Fraenkel, L. E. & Melvyn S. Berger. (1973). A global theory of steady vortex rings in an ideal fluid. Bulletin of the American Mathematical Society. 79(4). 806–810. 10 indexed citations
10.
Berger, Melvyn S.. (1972). On the existence and structure of stationary states for a nonlinear Klein-Gordan equation. Journal of Functional Analysis. 9(3). 249–261. 69 indexed citations
11.
Berger, Melvyn S. & Martin Schechter. (1972). Embedding theorems and quasi-linear elliptic boundary value problems for unbounded domains. Transactions of the American Mathematical Society. 172. 261–261. 57 indexed citations
12.
Berger, Melvyn S.. (1971). On a family of periodic solutions of Hamiltonian systems. Journal of Differential Equations. 10(1). 17–26. 6 indexed citations
13.
Berger, Melvyn S.. (1970). On periodic solutions of second order Hamiltonian systems (I). Journal of Mathematical Analysis and Applications. 29(3). 512–522. 19 indexed citations
14.
Berger, Melvyn S. & Martin Schechter. (1970). 𝐿_{𝑝} embedding and nonlinear eigenvalue problems for unbounded domains. Bulletin of the American Mathematical Society. 76(6). 1299–1302. 4 indexed citations
15.
Berger, Melvyn S.. (1970). Stationary States for a Nonlinear Wave Equation. Journal of Mathematical Physics. 11(9). 2906–2912. 8 indexed citations
16.
Berger, Melvyn S.. (1969). On the Conformal Equivalence of Compact 2-Dimensional Manifolds. Indiana University Mathematics Journal. 19(1). 13–18. 5 indexed citations
17.
Berger, Melvyn S., et al.. (1968). Perspectives in nonlinearity : an introduction to nonlinear analysis. CERN Document Server (European Organization for Nuclear Research). 32 indexed citations
18.
Berger, Melvyn S.. (1966). A Sturm-Liouville theorem for nonlinear elliptic partial differential equations. Europe PMC (PubMed Central). 20(3). 543–582. 18 indexed citations
19.
Berger, Melvyn S.. (1965). An Eigenvalue Problem for Nonlinear Elliptic Partial Differential Equations. Transactions of the American Mathematical Society. 120(1). 145–145. 6 indexed citations
20.
Berger, Melvyn S.. (1965). An eigenvalue problem for nonlinear elliptic partial differential equations. Transactions of the American Mathematical Society. 120(1). 145–184. 20 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by M. M. Vaĭnberg Breakdown of academic impact, for papers by L. E. Fraenkel Breakdown of academic impact, for papers by E. H. Rothe Breakdown of academic impact, for papers by Walter Littman Breakdown of academic impact, for papers by Marvin Shinbrot Breakdown of academic impact, for papers by Giovanni Alberti Breakdown of academic impact, for papers by Klaus Kirchgässner Breakdown of academic impact, for papers by C. J. Amick Breakdown of academic impact, for papers by G. F. Roach Breakdown of academic impact, for papers by Carlo Miranda
Rankless by CCL
2026