Werner Balser

1.6k total citations
58 papers, 881 citations indexed

About

Werner Balser is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Applied Mathematics. According to data from OpenAlex, Werner Balser has authored 58 papers receiving a total of 881 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Computational Theory and Mathematics, 21 papers in Numerical Analysis and 17 papers in Applied Mathematics. Recurrent topics in Werner Balser's work include Polynomial and algebraic computation (18 papers), Advanced Differential Equations and Dynamical Systems (12 papers) and Numerical methods for differential equations (11 papers). Werner Balser is often cited by papers focused on Polynomial and algebraic computation (18 papers), Advanced Differential Equations and Dynamical Systems (12 papers) and Numerical methods for differential equations (11 papers). Werner Balser collaborates with scholars based in Germany, United States and France. Werner Balser's co-authors include Donald A. Lutz, W. B. Jurkat, Yasutaka Sibuya, B. L. J. Braaksma, Jaume Ramis, Masafumi Yoshino, Vladimir Petrov Kostov, Stéphane Malek, Alexander Tovbis and Galina Filipuk and has published in prestigious journals such as Lecture notes in mathematics, Journal of Mathematical Analysis and Applications and SAE technical papers on CD-ROM/SAE technical paper series.

In The Last Decade

Werner Balser

52 papers receiving 760 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Werner Balser Germany 13 368 313 266 252 249 58 881
Donald A. Lutz United States 16 320 0.9× 205 0.7× 237 0.9× 270 1.1× 151 0.6× 40 752
Yasutaka Sibuya United States 18 286 0.8× 259 0.8× 257 1.0× 291 1.2× 193 0.8× 55 832
Herbert Stahl Germany 14 958 2.6× 211 0.7× 175 0.7× 401 1.6× 128 0.5× 41 1.2k
E. B. Saff United States 14 499 1.4× 133 0.4× 150 0.6× 294 1.2× 60 0.2× 58 782
Stanisław Łojasiewicz Poland 13 494 1.3× 589 1.9× 385 1.4× 144 0.6× 82 0.3× 34 1.2k
A. D. Bruno Russia 14 125 0.3× 392 1.3× 256 1.0× 198 0.8× 489 2.0× 124 999
Th. M. Rassias Greece 14 779 2.1× 417 1.3× 590 2.2× 503 2.0× 52 0.2× 38 1.4k
Valentin Lychagin Russia 13 267 0.7× 448 1.4× 55 0.2× 114 0.5× 453 1.8× 111 938
Reinhard Schäfke France 11 168 0.5× 162 0.5× 114 0.4× 163 0.6× 177 0.7× 48 460
Frank Smithies United States 10 646 1.8× 161 0.5× 434 1.6× 139 0.6× 80 0.3× 28 1.1k

Countries citing papers authored by Werner Balser

Since Specialization
Citations

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

Fields of papers citing papers by Werner Balser

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Werner Balser. 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 Werner Balser. The network helps show where Werner Balser may publish in the future.

Co-authorship network of co-authors of Werner Balser

This figure shows the co-authorship network connecting the top 25 collaborators of Werner Balser. A scholar is included among the top collaborators of Werner Balser 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 Werner Balser. Werner Balser 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.
Balser, Werner, et al.. (2009). Summability of solutions of the heat equation with inhomogeneous thermal conductivity in two variables. HAL (Le Centre pour la Communication Scientifique Directe). 1 indexed citations
2.
Balser, Werner, et al.. (2009). Solving the hypergeometric system of Okubo type in terms of a certain generalized hypergeometric function. Journal of Differential Equations. 247(9). 2485–2494. 3 indexed citations
3.
Balser, Werner. (2005). Power series solutions of the inhomogeneous heat equation (Recent Trends in Microlocal Analysis). Kyoto University Research Information Repository (Kyoto University). 1412. 151–159. 5 indexed citations
4.
Balser, Werner. (2004). Power series and moment summability methods of finite order (複素領域における微分方程式の大域解析と漸近解析). 数理解析研究所講究録. 1367. 87–94. 1 indexed citations
5.
Balser, Werner. (2004). Multisummability of formal power series solutions of partial differential equations with constant coefficients. Journal of Differential Equations. 201(1). 63–74. 46 indexed citations
6.
Balser, Werner & Stéphane Malek. (2003). Formal Solutions of the Complex Heat Equation in Higher Spatial Dimensions. SSRN Electronic Journal. 2003(8). 43–52. 6 indexed citations
7.
Balser, Werner. (2003). Power Series Solutions of the Inhomogeneous Heat Equation. SSRN Electronic Journal. 7 indexed citations
8.
Balser, Werner, et al.. (2002). Multisummability of Formal Solutions of Singular Perturbation Problems. Journal of Differential Equations. 183(2). 526–545. 22 indexed citations
9.
Balser, Werner, et al.. (2002). Singular Perturbation of Linear Systems with a Regular Singularity. Journal of Dynamical and Control Systems. 8(3). 313–322. 11 indexed citations
10.
Balser, Werner, Donald A. Lutz, & Reinhard Schäfke. (1999). On the convergence of Borel approximants. 1999(4). 81–106. 2 indexed citations
11.
Balser, Werner. (1999). Computation of formal fundamental solutions. Linear Algebra and its Applications. 288. 293–312. 2 indexed citations
12.
Balser, Werner. (1997). Moment methods and formal power series. Journal de Mathématiques Pures et Appliquées. 76(3). 289–305. 1 indexed citations
13.
Balser, Werner, B. L. J. Braaksma, Jaume Ramis, & Yasutaka Sibuya. (1991). Multisummability of formal power series solutions of linear ordinary differential equations. Asymptotic Analysis. 5(1). 27–45. 53 indexed citations
14.
Balser, Werner. (1989). Meromorphic transformation to Birkhoff standard form in dimension three. 36(2). 233–246. 7 indexed citations
15.
Balser, Werner. (1985). CONVERGENT POWER SERIES EXPANSIONS FOR THE BIRKHOFF INVARIANTS OF MEROMORPHIC DIFFERENTIAL EQUATIONS : Part II: A closer study of the coefficients. The Yokohama mathematical journal = 横濱市立大學紀要. D部門, 数学. 33(1). 5–19. 1 indexed citations
16.
Balser, Werner. (1985). A constructive existence proof for first level formal solutions of meromorphic differential equations. Hiroshima Mathematical Journal. 15(2). 2 indexed citations
17.
Balser, Werner. (1984). CONVERGENT POWER SERIES EXPANSIONS FOR THE BIRKHOFF INVARIANTS OF MEROMORPHIC DIFFERENTIAL EQUATIONS : Part I. Definition of the coefficient functions. The Yokohama mathematical journal = 横濱市立大學紀要. D部門, 数学. 32(1). 15–29. 5 indexed citations
18.
Balser, Werner, W. B. Jurkat, & Donald A. Lutz. (1984). Characterization of first level formal solutions by means of the growth of their coefficients. Journal of Differential Equations. 51(1). 48–77. 2 indexed citations
19.
Balser, Werner, W. B. Jurkat, & Donald A. Lutz. (1982). Transfer of connection problems for meromorphic differential equations of rank r ⩾ 2 and representations of solutions. Journal of Mathematical Analysis and Applications. 85(2). 488–542. 9 indexed citations
20.
Balser, Werner. (1982). Solutions of first level of meromorphic differential equations. Proceedings of the Edinburgh Mathematical Society. 25(2). 183–207. 6 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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