Werner C. Rheinboldt
Impact in
- Numerical Analysis top 0.02%
- Advanced Optimization Algorithms Research
- Iterative Methods for Nonlinear Equations
- Numerical methods for differential equations
- Computational Theory and Mathematics top 0.02%
- Matrix Theory and Algorithms
Papers in
-
- Matrix Theory and Algorithms 34
- Modeling and Simulation Systems 9
-
- Numerical methods for differential equations 35
- Iterative Methods for Nonlinear Equations 16
- Advanced Optimization Algorithms Research 13
- Co-authors
- Ivo Babuška (11 shared papers)L. J. Slater (1 shared paper)J.A. Abildskov (1 shared paper)Gordon K. Moe (1 shared paper)Patrick J. Rabier (14 shared papers)John Burkardt (5 shared papers)J. L. Synge (1 shared paper)Alexander B. Morgan (1 shared paper)
- Journals
- Mathematics of Computation (21 papers)SIAM Journal on Numerical Analysis (20 papers)Computers & Structures (5 papers)ACM Transactions on Mathematical Software (4 papers)International Journal for Numerical Methods in Engineering (4 papers)
- Partner nations
- United StatesGermanyCanada
In The Last Decade
Werner C. Rheinboldt
129 papers receiving 13.8k citations
Werner C. Rheinboldt's Hit Papers
Peers
Comparison fields: 5 of 184
- Numerical Analysis 5.7k
- Computational Theory and Mathematics 5.3k
- Computational Mechanics 4.4k
- Modeling and Simulation 930
- Computational Mathematics 77
Countries citing papers authored by Werner C. Rheinboldt
This map shows the geographic impact of Werner C. Rheinboldt'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 C. Rheinboldt with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Werner C. Rheinboldt more than expected).
Fields of papers citing papers by Werner C. Rheinboldt
This network shows the impact of papers produced by Werner C. Rheinboldt. 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 C. Rheinboldt. The network helps show where Werner C. Rheinboldt may publish in the future.
Co-authors
The 25 scholars most cited alongside Werner C. Rheinboldt, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 132 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Iterative Solution of Nonlinear Equations in Several Variables Hit paper breakdown → | 1971 | 3321 |
| 2 | Iterative Solution of Nonlinear Equations in Several Variables Hit paper breakdown → | 2000 | 3042 |
| 3 | Generalized Hypergeometric Functions Hit paper breakdown → | 1967 | 1138 |
| 4 | Error Estimates for Adaptive Finite Element Computations Hit paper breakdown → | 1978 | 1025 |
| 5 | A computer model of atrial fibrillation Hit paper breakdown → | 1964 | 959 |
| 6 | A‐posteriori error estimates for the finite element method Hit paper breakdown → | 1978 | 866 |
| 7 | 1968 | 308 | |
| 8 | 1957 | 258 | |
| 9 | 1983 | 214 | |
| 10 | 1988 | 189 | |
| 11 | 1978 | 177 | |
| 12 | 1983 | 172 | |
| 13 | 1968 | 145 | |
| 14 | 1998 | 139 | |
| 15 | 1973 | 127 | |
| 16 | 1984 | 125 | |
| 17 | 1980 | 119 | |
| 18 | 1979 | 119 | |
| 19 | 1986 | 107 | |
| 20 | 2002 | 102 |
About Werner C. Rheinboldt
Werner C. Rheinboldt is a scholar working on Computational Theory and Mathematics, Numerical Analysis, Computational Mechanics, Mechanics of Materials and Mathematical Physics, having authored 132 papers that have together received 15.7k indexed citations. Recurring topics across this work include Numerical methods for differential equations (35 papers), Matrix Theory and Algorithms (34 papers), Advanced Numerical Methods in Computational Mathematics (31 papers), Numerical methods in engineering (18 papers), Iterative Methods for Nonlinear Equations (16 papers), Advanced Optimization Algorithms Research (13 papers), Modeling and Simulation Systems (9 papers) and Advanced Numerical Analysis Techniques (9 papers). The work is most often cited by research in Numerical Analysis (5.7k citations), Computational Theory and Mathematics (5.3k citations), Computational Mechanics (4.4k citations), Modeling and Simulation (930 citations) and Computational Mathematics (77 citations). Werner C. Rheinboldt has collaborated with scholars based in United States, Germany and Canada. Frequent co-authors include Ivo Babuška, L. J. Slater, J.A. Abildskov, Gordon K. Moe, Patrick J. Rabier, John Burkardt, J. L. Synge, Alexander B. Morgan, James P. Fink and James M. Ortega. Their work appears in journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis, Computers & Structures, ACM Transactions on Mathematical Software and International Journal for Numerical Methods in Engineering.
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.