Peter Deuflhard

11.2k citations
212 papers · 8.4k · 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

    • Numerical methods for differential equations 39
    • Iterative Methods for Nonlinear Equations 15
    • Advanced Numerical Methods in Computational Mathematics 34
    • 3D Shape Modeling and Analysis 12

Peter Deuflhard

196 papers receiving 7.6k citations

Peter Deuflhard's Hit Papers

Newton Methods for Nonlinear Problems 2011 · 311 citations
3110+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 321
  • Statistical and Nonlinear Physics 809
Replace Roland Z. Bulirsch with:
Roland Z. Bulirsch Germany
ENDRE E. SÜLI United Kingdom
C. T. Kelley United States
C. William Gear United States
Uri M. Ascher Canada
Josef Stoer Germany
Kazufumi Ito United States
Herbert B. Keller United States
George J. Fix United States
Lawrence F. Shampine United States
Peter Deuflhard relative to Roland Z. Bulirsch Germany Roland Z. Bulirsch's profile →
Citations per field
00.5×1.7×
Roland Z. 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 212 papers — load more, or switch the sort, to bring in the rest.

#Work
1 1987405
2 2004395
3
Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms
Hit paper breakdown →
2011383
4 1974380
5
Newton Methods for Nonlinear Problems
Hit paper breakdown →
2011311
6 1999308
7 2000259
8 1983255
9 1999227
10 1985215
11 1979197
12 1981186
13 1989179
14 1996177
15 1987174
16 1983168
17 1983158
18 2003157
19 2002136
20 1996134

About Peter Deuflhard

Peter Deuflhard is a scholar working on Numerical Analysis, Computational Mechanics, Computational Theory and Mathematics, Statistical and Nonlinear Physics and Mechanics of Materials, having authored 212 papers that have together received 8.4k 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), 3D Shape Modeling and Analysis (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 (321 citations) and Statistical and Nonlinear Physics (809 citations). Peter Deuflhard has collaborated with scholars based in Germany, United States and Italy. Frequent co-authors include Ernst Hairer, Marcus Weber, Folkmar A. 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 Journal of Theoretical Biology.

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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