G. B. Gustafson

866 total citations
21 papers, 222 citations indexed

About

G. B. Gustafson is a scholar working on Numerical Analysis, Applied Mathematics and Computational Mechanics. According to data from OpenAlex, G. B. Gustafson has authored 21 papers receiving a total of 222 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Numerical Analysis, 13 papers in Applied Mathematics and 3 papers in Computational Mechanics. Recurrent topics in G. B. Gustafson's work include Differential Equations and Numerical Methods (12 papers), Nonlinear Differential Equations Analysis (8 papers) and Numerical methods for differential equations (8 papers). G. B. Gustafson is often cited by papers focused on Differential Equations and Numerical Methods (12 papers), Nonlinear Differential Equations Analysis (8 papers) and Numerical methods for differential equations (8 papers). G. B. Gustafson collaborates with scholars based in United States. G. B. Gustafson's co-authors include Klaus Schmitt, Peter W. Bates and Calvin H. Wilcox and has published in prestigious journals such as Journal of Applied Mechanics, Journal of Mathematical Analysis and Applications and SIAM Review.

In The Last Decade

G. B. Gustafson

18 papers receiving 166 citations

Peers

G. B. Gustafson

CTM

CSE

Eduardo H. Zarantonello United States

D. R. Dunninger United States

Thomas Bagby United States

Keith Schrader United States

M. B. Suryanarayana United States

M. Goldstein United States

C. De Coster Belgium

A. Jakimovski Israel

Н. В. Азбелев Russia

Samuel M. Rankin United States

Eduardo H. Zarantonello United States

G. B. Gustafson

70 ×0.5

39 ×0.4

106 ×1.5

CTM

52 ×1.2

14 ×0.5

CSE

Citations per year, relative to G. B. Gustafson G. B. Gustafson (= 1×) peers Eduardo H. Zarantonello

Countries citing papers authored by G. B. Gustafson

Since Specialization

Citations

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

Fields of papers citing papers by G. B. Gustafson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of G. B. Gustafson

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

All Works

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20 of 20 papers shown

Gustafson, G. B. & Calvin H. Wilcox. (1998). Analytical and Computational Methods of Advanced Engineering Mathematics. CERN Document Server (European Organization for Nuclear Research). 19 indexed citations

Gustafson, G. B., et al.. (1988). On the Dynamic Response of a Single-Degree-of-Freedom Structure Attached to the Interior of a Rotating Rigid Ring. Journal of Applied Mechanics. 55(1). 201–205. 7 indexed citations

Gustafson, G. B., et al.. (1985). Uniqueness for nth order de la vallee poussin boundary value problems. Applicable Analysis. 20(3-4). 201–220. 4 indexed citations

Gustafson, G. B., et al.. (1978). Effective estimates of invertibility intervals for linear multipoint boundary value problems. Journal of Differential Equations. 29(2). 180–204. 2 indexed citations

Gustafson, G. B., et al.. (1978). Lower-order branching and conjugate function discontinuities. Journal of Differential Equations. 28(2). 167–179.

Bates, Peter W. & G. B. Gustafson. (1977). Projection methods for nonlinear nodal problems. Rocky Mountain Journal of Mathematics. 7(3). 1 indexed citations

Gustafson, G. B.. (1976). Differential Equations, Linear Algebra and Dynamical Systems (Morris W. Hirsch and Stephen Smale). SIAM Review. 18(1). 137–138.

Gustafson, G. B.. (1976). A Green's function convergence principle, with applications to computation and norm estimates. Rocky Mountain Journal of Mathematics. 6(3). 16 indexed citations

Bates, Peter W. & G. B. Gustafson. (1976). Maximization of Green’s Function over Classes of Multipoint Boundary Value Problems. SIAM Journal on Mathematical Analysis. 7(6). 858–871. 7 indexed citations

10.

Bates, Peter W. & G. B. Gustafson. (1975). Green’s function inequalities for two-point boundary value problems. Pacific Journal of Mathematics. 59(2). 327–343. 41 indexed citations

11.

Gustafson, G. B. & Klaus Schmitt. (1974). A note on periodic solutions for delay-differential systems. Proceedings of the American Mathematical Society. 42(1). 161–166. 15 indexed citations

12.

Gustafson, G. B.. (1974). Bounded oscillations of linear and nonlinear delay-differential equations of even order. Journal of Mathematical Analysis and Applications. 46(1). 175–189. 14 indexed citations

13.

Gustafson, G. B.. (1973). Interpolation between consecutive conjugate points of an 𝑛th order linear differential equation. Transactions of the American Mathematical Society. 177(0). 237–255. 4 indexed citations

14.

Gustafson, G. B.. (1973). Interpolation Between Consecutive Conjugate Points of an nth Order Linear Differential Equation. Transactions of the American Mathematical Society. 177. 237–237. 3 indexed citations

15.

Gustafson, G. B. & Klaus Schmitt. (1973). Periodic solutions of hereditary differential systems. Journal of Differential Equations. 13(3). 567–587. 13 indexed citations

16.

Gustafson, G. B.. (1973). Oscillation Criteria for y"" + p(t)f(y,y’) = 0 with f Homogeneous of Degree One. Canadian Journal of Mathematics. 25(2). 323–337. 1 indexed citations

17.

Gustafson, G. B. & Klaus Schmitt. (1972). Nonzero solutions of boundary value problems for second order ordinary and delay-differential equations. Journal of Differential Equations. 12(1). 129–147. 56 indexed citations

18.

Gustafson, G. B.. (1972). Eventual disconjugacy of selfadjoint fourth order linear differential equations. Proceedings of the American Mathematical Society. 35(1). 187–192. 2 indexed citations

19.

Gustafson, G. B.. (1970). The Nonequivalence of Oscillation and Nondisconjugacy. Proceedings of the American Mathematical Society. 25(2). 254–254. 7 indexed citations

20.

Gustafson, G. B.. (1970). The nonequivalence of oscillation and nondisconjugacy. Proceedings of the American Mathematical Society. 25(2). 254–254. 7 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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