D. Willett

1.2k citations

29 papers · 906 indexed · 1 hit paper · h-index 13

Impact in

Numerical Analysis top 2%
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
Applied Mathematics top 1%
- Nonlinear Differential Equations Analysis
- Differential Equations and Boundary Problems

Papers in

Numerical Analysis 18
- Differential Equations and Numerical Methods 13
- Numerical methods for differential equations 10
Applied Mathematics 21
- Nonlinear Differential Equations Analysis 14
- Differential Equations and Boundary Problems 11
- Functional Equations Stability Results 2

Co-authors: John H. Barrett Robert E. O’Malley Robert McKelvey Lloyd Jackson J. S. W. Wong James S. Muldowney A. Meir
Journals: SIAM Journal on Mathematical Analysis (4 papers)Canadian Journal of Mathematics (3 papers)Archive for Rational Mechanics and Analysis (2 papers)The Michigan Mathematical Journal (2 papers)Proceedings of the American Mathematical Society (2 papers)
Partner nations: United States Canada

In The Last Decade

D. Willett

24 papers receiving 654 citations

Hit Papers

align trajectories log scale

Lectures on ordinary differential equations 1970 · 362 citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

1970 CERN Document Server (European Organization for Nuclear Research)

Peers

Countries citing papers authored by D. Willett

Since Specialization

Citations

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

Fields of papers citing papers by D. Willett

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network

The 7 scholars most cited alongside D. Willett, 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 D. Willett Line = papers co-authored together D. Willett links everyone, so they are left out of the graph.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

#	Work
1	Woody Guthrie: Racial Transformation through the Framework of the “Long Civil Rights Movement” Journal of American Folklore ·D. Willett	2024	0
2	Differential inequalities and the asymptotics of second order nonlinear differential equations Rocky Mountain Journal of Mathematics ·D. Willett	1978	0
3	Second Order Singular Boundary Value Problems SIAM Journal on Mathematical Analysis ·Dwain D. Hagennan, D. Willett	1977	3
4	An Intermediate Value Property for Operators with Applications to Integral and Differential Equations Canadian Journal of Mathematics ·James S. Muldowney, D. Willett	1974	7
5	An Elementary Proof of the Existence of Solutions to Second Order Nonlinear Boundary Value Problems SIAM Journal on Mathematical Analysis ·James S. Muldowney, D. Willett	1974	23
6	On the oscillation of ty" + p(t)y = 0 with ʃ p almost periodic Annales Polonici Mathematici ·D. Willett	1973	0
7	Errata: Disconjugacy Tests for Singular Linear Differential Equations SIAM Journal on Mathematical Analysis ·D. Willett	1972	4
8	A necessary and sufficient condition for the oscillation of some linear second order differential equations Rocky Mountain Journal of Mathematics ·D. Willett	1971	4
9	Generalized de la Vallée Poussin Disconjugacy Tests for Linear Differential Equations⁽¹⁾ Canadian Mathematical Bulletin ·D. Willett	1971	14
10	Lectures on ordinary differential equations CERN Document Server (European Organization for Nuclear Research) ·Robert McKelvey, John H. Barrett, Lloyd Jackson, Robert E. O’Malley, D. Willett Hit paper breakdown →	1970	362
11	Classification of second order linear differential equations with respect to oscillation Advances in Mathematics ·D. Willett	1969	80
12	On the oscillatory behavior of the solutions of second order linear differential equations Annales Polonici Mathematici ·D. Willett	1969	89
13	Uniqueness for second order nonlinear boundary value problems with applications to almost periodic solutions Annali di Matematica Pura ed Applicata (1923 -) ·D. Willett	1969	3
14	Some properties of the solutions of [p(t) x′]′ + q(t) f(x) = 0 Journal of Mathematical Analysis and Applications ·D. Willett, J. S. W. Wong	1968	10
15	Uniqueness of Solutions of Boundary Value Problems SIAM Review ·D. Willett	1967	2
16	On the asymptotic behavior of the solutions of $x^{\prime\prime}+a(t)x=0$. The Michigan Mathematical Journal ·A. Meir, D. Willett, J. S. W. Wong	1967	7
17	A stability condition for $y^{\prime\prime}+p(x)y=0$. The Michigan Mathematical Journal ·A. Meir, D. Willett, J. S. W. Wong	1966	5
18	On the discrete analogues of some generalizations of Gronwall's inequality Monatshefte für Mathematik ·D. Willett, J. S. W. Wong	1965	83
19	A linear generalization of Gronwall’s inequality Proceedings of the American Mathematical Society ·D. Willett	1965	39
20	Nonlinear vector integral equations as contraction mappings Archive for Rational Mechanics and Analysis ·D. Willett	1964	38

About D. Willett

D. Willett is a scholar working on Numerical Analysis, Applied Mathematics, Geometry and Topology, Computational Theory and Mathematics and Mathematical Physics, having authored 29 papers that have together received 906 indexed citations. Recurring topics across this work include Nonlinear Differential Equations Analysis (14 papers), Differential Equations and Numerical Methods (13 papers), Differential Equations and Boundary Problems (11 papers), Numerical methods for differential equations (10 papers), Advanced Mathematical Modeling in Engineering (4 papers), Spectral Theory in Mathematical Physics (3 papers), Advanced Differential Equations and Dynamical Systems (3 papers) and Functional Equations Stability Results (2 papers). The work is most often cited by research in Numerical Analysis (381 citations), Applied Mathematics (554 citations), Mathematical Physics (217 citations), Modeling and Simulation (85 citations) and Computational Theory and Mathematics (223 citations). D. Willett has collaborated with scholars based in United States and Canada. Frequent co-authors include John H. Barrett, Robert E. O’Malley, Robert McKelvey, Lloyd Jackson, J. S. W. Wong, James S. Muldowney and A. Meir. Their work appears in journals such as SIAM Journal on Mathematical Analysis, Canadian Journal of Mathematics, Archive for Rational Mechanics and Analysis, The Michigan Mathematical Journal and Proceedings of the American Mathematical Society.

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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