Peter Deuflhard

10.9k citations
213 papers · 8.3k · 2 hit papers · h-index 45

Impact in

    • Numerical methods for differential equations
    • Advanced Optimization Algorithms Research
    • Iterative Methods for Nonlinear Equations
    • Advanced Numerical Methods in Computational Mathematics

Papers in

Peter Deuflhard

195 papers receiving 7.4k citations

Peter Deuflhard's Hit Papers

Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms 2011 · 387 citations
3870+5+10Years since publication100200300

Peers

Peter Deuflhard
Comparison fields: 5 of 186
  • Numerical Analysis 1.8k
  • Computational Mechanics 2.2k
  • Computational Theory and Mathematics 1.7k
  • Modeling and Simulation 310
  • Statistical and Nonlinear Physics 782
Replace Roland Bulirsch with:
Roland Bulirsch Germany
Endre Süli United Kingdom
C. T. Kelley United States
Uri M. Ascher Canada
Josef Stoer Germany
C. W. Gear United States
Kazufumi Ito United States
Claude Brezinski France
Herbert B. Keller United States
L. F. Shampine United States
Peter Deuflhard relative to Roland Bulirsch Germany Roland Bulirsch's profile →
Citations per field
00.5×1.5×
Roland Bulirsch · 1×
Citations per year

Countries citing papers authored by Peter Deuflhard

Since Specialization
Citations

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

Fields of papers citing papers by Peter Deuflhard

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 25 scholars most cited alongside Peter Deuflhard, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Peter Deuflhard Line = papers co-authored together Peter Deuflhard links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 213 papers — load more, or switch the sort, to bring in the rest.

#Work
1 1987410
2
Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms
Hit paper breakdown →
2011387
3 2004385
4 1974383
5
Newton Methods for Nonlinear Problems
Hit paper breakdown →
2011304
6 1999302
7 2000257
8 1983251
9 1999225
10 1985216
11 1979201
12 1981188
13 1989178
14 1987173
15 1996171
16 1983169
17 1983161
18 1996137
19 2002135
20 2003117

About Peter Deuflhard

Peter Deuflhard is a scholar working on Computational Mechanics, Numerical Analysis, Computational Theory and Mathematics, Biomedical Engineering and Mechanics of Materials, having authored 213 papers that have together received 8.3k indexed citations. Recurring topics across this work include Numerical methods for differential equations (39 papers), Advanced Numerical Methods in Computational Mathematics (34 papers), Matrix Theory and Algorithms (22 papers), Electromagnetic Simulation and Numerical Methods (16 papers), Iterative Methods for Nonlinear Equations (15 papers), Protein Structure and Dynamics (13 papers), Advanced Mathematical Modeling in Engineering (12 papers) and Elasticity and Material Modeling (12 papers). The work is most often cited by research in Numerical Analysis (1.8k citations), Computational Mechanics (2.2k citations), Computational Theory and Mathematics (1.7k citations), Modeling and Simulation (310 citations) and Statistical and Nonlinear Physics (782 citations). Peter Deuflhard has collaborated with scholars based in Germany, United States and Switzerland. Frequent co-authors include Ernst Hairer, Marcus Weber, Folkmar Bornemann, Wilhelm Huisinga, Ch. Schütte, G. Bader, Alexander Fischer, U. Nowak, Martin Weiser and Martin Seebaß. Their work appears in journals such as Numerische Mathematik, Lecture notes in computational science and engineering, Computing and Visualization in Science, SIAM Journal on Numerical Analysis and Lecture notes in mathematics.

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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