Herbert C. Kranzer

899 total citations
15 papers, 553 citations indexed

About

Herbert C. Kranzer is a scholar working on Applied Mathematics, Mathematical Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, Herbert C. Kranzer has authored 15 papers receiving a total of 553 indexed citations (citations by other indexed papers that have themselves been cited), including 7 papers in Applied Mathematics, 6 papers in Mathematical Physics and 3 papers in Statistical and Nonlinear Physics. Recurrent topics in Herbert C. Kranzer's work include Navier-Stokes equation solutions (5 papers), Advanced Mathematical Physics Problems (4 papers) and Spectral Theory in Mathematical Physics (2 papers). Herbert C. Kranzer is often cited by papers focused on Navier-Stokes equation solutions (5 papers), Advanced Mathematical Physics Problems (4 papers) and Spectral Theory in Mathematical Physics (2 papers). Herbert C. Kranzer collaborates with scholars based in United States. Herbert C. Kranzer's co-authors include Barbara Lee Keyfitz, Joseph B. Keller, F. M. Tangerman, D.C. Tan, James Glimm and Kurt Friedrichs and has published in prestigious journals such as Journal of Applied Physics, Communications in Mathematical Physics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Herbert C. Kranzer

15 papers receiving 460 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Herbert C. Kranzer United States 8 360 251 215 60 60 15 553
Pedro Embid United States 10 248 0.7× 332 1.3× 101 0.5× 41 0.7× 38 0.6× 12 564
R. E. Grundy United Kingdom 13 120 0.3× 166 0.7× 51 0.2× 21 0.3× 50 0.8× 50 506
Michael Westdickenberg Germany 12 302 0.8× 212 0.8× 147 0.7× 51 0.8× 35 0.6× 19 523
B. L. Rozhdestvenskii 4 150 0.4× 117 0.5× 87 0.4× 34 0.6× 103 1.7× 18 335
Alexander Lifschitz United States 12 142 0.4× 373 1.5× 93 0.4× 18 0.3× 66 1.1× 30 694
V. I. Yudovich Russia 14 442 1.2× 389 1.5× 210 1.0× 111 1.9× 164 2.7× 54 841
A. Harten Israel 14 467 1.3× 929 3.7× 43 0.2× 11 0.2× 30 0.5× 31 1.2k
Heinrich Freistühler Germany 15 393 1.1× 349 1.4× 185 0.9× 56 0.9× 32 0.5× 52 590
Richard Sanders United States 13 372 1.0× 623 2.5× 84 0.4× 17 0.3× 15 0.3× 25 766
Tsutomu Kambe Japan 14 85 0.2× 321 1.3× 39 0.2× 24 0.4× 118 2.0× 47 592

Countries citing papers authored by Herbert C. Kranzer

Since Specialization
Citations

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

Fields of papers citing papers by Herbert C. Kranzer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Herbert C. Kranzer. 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 Herbert C. Kranzer. The network helps show where Herbert C. Kranzer may publish in the future.

Co-authorship network of co-authors of Herbert C. Kranzer

This figure shows the co-authorship network connecting the top 25 collaborators of Herbert C. Kranzer. A scholar is included among the top collaborators of Herbert C. Kranzer 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 Herbert C. Kranzer. Herbert C. Kranzer is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

15 of 15 papers shown
1.
Glimm, James, Herbert C. Kranzer, D.C. Tan, & F. M. Tangerman. (1997). Wave Fronts for Hamilton-Jacobi Equations:¶The General Theory for Riemann Solutions in $\calR^n$. Communications in Mathematical Physics. 187(3). 647–677. 10 indexed citations
2.
Keyfitz, Barbara Lee & Herbert C. Kranzer. (1995). Spaces of Weighted Measures for Conservation Laws with Singular Shock Solutions. Journal of Differential Equations. 118(2). 420–451. 121 indexed citations
3.
Keyfitz, Barbara Lee, et al.. (1987). Nonstrictly hperbolic conservation laws. Contemporary mathematics - American Mathematical Society. 6 indexed citations
4.
Keyfitz, Barbara Lee & Herbert C. Kranzer. (1983). The Riemann problem for a class of hyperbolic conservation laws exhibiting a parabolic degeneracy. Journal of Differential Equations. 47(1). 35–65. 35 indexed citations
5.
Keyfitz, Barbara Lee & Herbert C. Kranzer. (1980). A system of non-strictly hyperbolic conservation laws arising in elasticity theory. Archive for Rational Mechanics and Analysis. 72(3). 219–241. 218 indexed citations
6.
Keyfitz, Barbara Lee & Herbert C. Kranzer. (1978). Existence and uniqueness of entropy solutions to the Riemann problem for hyperbolic systems of two nonlinear conservation laws. Journal of Differential Equations. 27(3). 444–476. 38 indexed citations
7.
Kranzer, Herbert C., et al.. (1976). An extension of the Kreiss stability theorem to families of matrices of unbounded order. Linear Algebra and its Applications. 14(3). 237–255. 4 indexed citations
8.
Kranzer, Herbert C.. (1967). Asymptotic Factorization in Nondissipative Wiener-Hopf Problems. Indiana University Mathematics Journal. 17(6). 577–600. 4 indexed citations
9.
Kranzer, Herbert C., et al.. (1965). . Indiana University Mathematics Journal. 14(1). 41–41. 1 indexed citations
10.
Kranzer, Herbert C.. (1963). An error formula for numerical differentiation. Numerische Mathematik. 5(1). 439–442. 6 indexed citations
11.
Kranzer, Herbert C., et al.. (1962). Asymptotic factorization for perturbed Wiener-Hopf problems. Journal of Mathematical Analysis and Applications. 4(2). 240–256. 14 indexed citations
12.
Kranzer, Herbert C.. (1961). Thermalization of a Fast Ion in a Plasma. The Physics of Fluids. 4(2). 214–220. 19 indexed citations
13.
Kranzer, Herbert C. & Joseph B. Keller. (1959). Water Waves Produced by Explosions. Journal of Applied Physics. 30(3). 398–407. 72 indexed citations
14.
Friedrichs, Kurt & Herbert C. Kranzer. (1958). Nonlinear wave motion. 3 indexed citations
15.
Friedrichs, Kurt & Herbert C. Kranzer. (1958). NONLINEAR WAVE MOTION. Magneto-Hydrodynamics Note No. VIII. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information). 2 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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