Charles G. Lange

1.2k total citations
26 papers, 904 citations indexed

About

Charles G. Lange is a scholar working on Numerical Analysis, Mechanics of Materials and Computational Theory and Mathematics. According to data from OpenAlex, Charles G. Lange has authored 26 papers receiving a total of 904 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Numerical Analysis, 6 papers in Mechanics of Materials and 6 papers in Computational Theory and Mathematics. Recurrent topics in Charles G. Lange's work include Differential Equations and Numerical Methods (16 papers), Numerical methods for differential equations (8 papers) and Advanced Mathematical Modeling in Engineering (6 papers). Charles G. Lange is often cited by papers focused on Differential Equations and Numerical Methods (16 papers), Numerical methods for differential equations (8 papers) and Advanced Mathematical Modeling in Engineering (6 papers). Charles G. Lange collaborates with scholars based in United States, Germany and Canada. Charles G. Lange's co-authors include Robert M. Miura, Alan C. Newell, Donald R. Smith, Robert R. Archer, Gregory A. Kriegsmann, H. J. Weinitschke and D. J. Benney and has published in prestigious journals such as Journal of Fluid Mechanics, Journal of Applied Mechanics and AIAA Journal.

In The Last Decade

Charles G. Lange

24 papers receiving 799 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Charles G. Lange United States 14 631 293 211 120 94 26 904
Арлен Михайлович Ильин Russia 10 437 0.7× 556 1.9× 388 1.8× 208 1.7× 96 1.0× 48 1.1k
В. Ф. Бутузов Russia 14 716 1.1× 416 1.4× 393 1.9× 68 0.6× 305 3.2× 105 959
V. A. Trenogin Russia 6 127 0.2× 120 0.4× 114 0.5× 60 0.5× 42 0.4× 19 447
Lutz Recke Germany 12 177 0.3× 261 0.9× 195 0.9× 42 0.3× 49 0.5× 71 500
Nicholas D. Alikakos United States 15 122 0.2× 415 1.4× 332 1.6× 134 1.1× 28 0.3× 21 855
Yongzhong Song China 18 621 1.0× 423 1.4× 52 0.2× 168 1.4× 32 0.3× 85 907
Eduardo L. Ortiz United Kingdom 17 584 0.9× 183 0.6× 229 1.1× 98 0.8× 26 0.3× 81 887
Tassilo Küpper Germany 20 132 0.2× 186 0.6× 266 1.3× 42 0.3× 42 0.4× 56 984
В. А. Ильин Russia 12 154 0.2× 298 1.0× 330 1.6× 59 0.5× 26 0.3× 125 749
Roger Alexander United States 8 347 0.5× 134 0.5× 54 0.3× 352 2.9× 24 0.3× 14 676

Countries citing papers authored by Charles G. Lange

Since Specialization
Citations

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

Fields of papers citing papers by Charles G. Lange

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Charles G. Lange. 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 Charles G. Lange. The network helps show where Charles G. Lange may publish in the future.

Co-authorship network of co-authors of Charles G. Lange

This figure shows the co-authorship network connecting the top 25 collaborators of Charles G. Lange. A scholar is included among the top collaborators of Charles G. Lange 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 Charles G. Lange. Charles G. Lange 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.
Lange, Charles G. & Robert M. Miura. (1994). Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Equations. VI. Small Shifts with Rapid Oscillations. SIAM Journal on Applied Mathematics. 54(1). 273–283. 112 indexed citations
2.
Lange, Charles G. & Donald R. Smith. (1993). Singular Perturbation Analysis of Integral Equations: Part II. Studies in Applied Mathematics. 90(1). 1–74. 23 indexed citations
3.
Lange, Charles G. & H. J. Weinitschke. (1991). Singular Perturbations of Limit Points with Application to Tubular Chemical Reactors. Studies in Applied Mathematics. 84(1). 7–42. 3 indexed citations
4.
Lange, Charles G. & Donald R. Smith. (1988). Singular Perturbation Analysis of Integral Equations. Studies in Applied Mathematics. 79(1). 1–63. 24 indexed citations
5.
Weinitschke, H. J. & Charles G. Lange. (1987). Asymptotic solutions for finite deformation of thin shells of revolution with a small circular hole. Quarterly of Applied Mathematics. 45(3). 401–417. 3 indexed citations
6.
Miura, Robert M. & Charles G. Lange. (1985). Particular solutions of forced generalized Airy equations. Journal of Mathematical Analysis and Applications. 109(2). 303–310. 8 indexed citations
7.
Lange, Charles G. & Robert M. Miura. (1985). Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations III. Turning Point Problems. SIAM Journal on Applied Mathematics. 45(5). 708–734. 60 indexed citations
8.
Lange, Charles G. & Robert M. Miura. (1985). Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Quations II. Rapid Oscillations and Resonances. SIAM Journal on Applied Mathematics. 45(5). 687–707. 46 indexed citations
9.
Lange, Charles G. & Gregory A. Kriegsmann. (1985). Bifurcation Analysis of Nonlinear Turning Point Problems. SIAM Journal on Applied Mathematics. 45(2). 175–199. 1 indexed citations
10.
Lange, Charles G. & Robert M. Miura. (1982). Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations. SIAM Journal on Applied Mathematics. 42(3). 502–531. 159 indexed citations
11.
Lange, Charles G.. (1981). Branching from Large Eigenvalues of Nonlinear Sturm–Liouville Systems. SIAM Journal on Applied Mathematics. 40(1). 52–70. 4 indexed citations
12.
Lange, Charles G.. (1981). Branching from Closely Spaced Eigenvalues with Application to a Model Biochemical Reaction. SIAM Journal on Applied Mathematics. 40(1). 35–51. 6 indexed citations
13.
Lange, Charles G., et al.. (1980). Transient Solutions to Some Weakly Diffusive Nonlinear Diffusion Equations. Studies in Applied Mathematics. 63(3). 249–262. 1 indexed citations
14.
Kriegsmann, Gregory A. & Charles G. Lange. (1980). On large axisymmetrical deflection states of spherical shells. Journal of Elasticity. 10(2). 179–192. 9 indexed citations
15.
Lange, Charles G. & Alan C. Newell. (1974). A Stability Criterion for Envelope Equations. SIAM Journal on Applied Mathematics. 27(3). 441–456. 114 indexed citations
16.
Lange, Charles G.. (1973). Wave Propagation m Continuous Random Media. Studies in Applied Mathematics. 52(4). 359–376. 1 indexed citations
17.
Lange, Charles G. & Alan C. Newell. (1971). The Post-Buckling Problem for Thin Elastic Shells. SIAM Journal on Applied Mathematics. 21(4). 605–629. 51 indexed citations
18.
Benney, D. J. & Charles G. Lange. (1970). The Asymptotics of Nonlinear Diffusion. Studies in Applied Mathematics. 49(1). 1–19. 3 indexed citations
19.
Newell, Alan C., et al.. (1970). Random convection. Journal of Fluid Mechanics. 40(3). 513–542. 17 indexed citations
20.
Archer, Robert R. & Charles G. Lange. (1965). On the nonlinear dynamic behavior of shallow spherical shells.. AIAA Journal. 3(12). 2313–2317. 30 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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