Paul D. Frank

2.6k total citations · 2 hit papers
21 papers, 1.8k citations indexed

About

Paul D. Frank is a scholar working on Computational Theory and Mathematics, Statistics, Probability and Uncertainty and Computational Mechanics. According to data from OpenAlex, Paul D. Frank has authored 21 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Computational Theory and Mathematics, 7 papers in Statistics, Probability and Uncertainty and 5 papers in Computational Mechanics. Recurrent topics in Paul D. Frank's work include Advanced Multi-Objective Optimization Algorithms (10 papers), Probabilistic and Robust Engineering Design (7 papers) and Manufacturing Process and Optimization (4 papers). Paul D. Frank is often cited by papers focused on Advanced Multi-Objective Optimization Algorithms (10 papers), Probabilistic and Robust Engineering Design (7 papers) and Manufacturing Process and Optimization (4 papers). Paul D. Frank collaborates with scholars based in United States and Australia. Paul D. Frank's co-authors include J. E. Dennis, Andrew Booker, Gregory R. Shubin, Michael W. Trosset, Davide Serafini, Virginia Torczon, Evin Cramer, Robert Michael Lewis, Robert B. Schnabel and John T. Betts and has published in prestigious journals such as Journal of Computational Physics, SIAM Journal on Numerical Analysis and Mathematical Programming.

In The Last Decade

Paul D. Frank

21 papers receiving 1.7k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

A rigorous framework for optimization of expensive functions by surrogates

1999 697 citations Andrew Booker, J. E. Dennis et al. Structural and Multidisciplinary Optimization profile →
Problem Formulation for Multidisciplinary Optimization

1994 475 citations Evin Cramer, J. E. Dennis et al. SIAM Journal on Optimization profile →

Peers

Countries citing papers authored by Paul D. Frank

Since Specialization

Citations

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

Fields of papers citing papers by Paul D. Frank

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Paul D. Frank

This figure shows the co-authorship network connecting the top 25 collaborators of Paul D. Frank. A scholar is included among the top collaborators of Paul D. Frank 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 Paul D. Frank. Paul D. Frank 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

#	Work	Indexed citations
1	Characterizing the tradeoffs between different sensor allocation and management algorithms 2009 ·International Conference on Information Fusion ·(unknown), (unknown), (unknown), Paul D. Frank	5
2	Comparing problem formulations for coupled sets of components 2009 ·Optimization and Engineering ·(unknown), Evin Cramer, J. E. Dennis, Paul D. Frank	2
3	Optimal Sensor Selection and Placement for Perimeter Defense 2007 ·(unknown), (unknown), Paul D. Frank, (unknown), (unknown)	6
4	MoVars: Multidisciplinary Optimization Via Adaptive Response Surfaces 2007 ·48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference ·Andrew Booker, Evin Cramer, Paul D. Frank, Joerg Gablonsky, J. E. Dennis	5
5	Problem Formulations for Systems of Systems 2006 ·J. E. Dennis, (unknown), Evin Cramer, Paul D. Frank	10
6	Reduced Design Cycle Time and Improved Design Space Exploration 2004 ·Andrew Booker, (unknown), Paul D. Frank, (unknown)	3
7	A surrogate-model-based method for constrained optimization 2000 ·PolyPublie (École Polytechnique de Montréal) ·Charles Audet, (unknown), Douglas Moore, Andrew Booker, Paul D. Frank	149
8	A rigorous framework for optimization of expensive functions by surrogates 1999 ·Andrew Booker, J. E. Dennis, Paul D. Frank, Davide Serafini, Virginia Torczon, Michael W. Trosset	26
9	A rigorous framework for optimization of expensive functions by surrogates breakdown → 1999 ·Structural and Multidisciplinary Optimization ·Andrew Booker, J. E. Dennis, Paul D. Frank, Davide Serafini, Virginia Torczon, Michael W. Trosset	697
10	Managing surrogate objectives to optimize a helicopter rotor design - Further experiments 1998 ·7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization ·Andrew Booker, Paul D. Frank, (unknown), Douglas Moore, (unknown)	22
11	Problem Formulation for Multidisciplinary Optimization breakdown → 1994 ·SIAM Journal on Optimization ·Evin Cramer, J. E. Dennis, Paul D. Frank, Robert Michael Lewis, Gregory R. Shubin	475
12	Local convergence analysis of tensor methods for nonlinear equations 1993 ·Mathematical Programming ·(unknown), Paul D. Frank, Robert B. Schnabel	15
13	On alternative problem formulations for multidisciplinary design optimization 1992 ·Evin Cramer, Paul D. Frank, Gregory R. Shubin, J. E. Dennis	44
14	A comparison of optimization and search methods for multidisciplinary design 1992 ·Paul D. Frank, Andrew Booker, Thomas P. Caudell, M. J. R. Healy	34
15	A comparison of optimization-based approaches for a model computational aerodynamics design problem 1992 ·Journal of Computational Physics ·Paul D. Frank, Gregory R. Shubin	81
16	A comparison of two closely-related approaches to aerodynamic design optimization 1991 ·NASA Technical Reports Server (NASA) ·Gregory R. Shubin, Paul D. Frank	15
17	A comparison of optimization-based approaches for a model computational aerodynamics design problem 1991 ·Journal of Computational Physics ·Paul D. Frank, Gregory R. Shubin	1
18	A range-space implementation for large quadratic programs with small active sets 1991 ·Journal of Optimization Theory and Applications ·Paul D. Frank, M. J. R. Healy, (unknown)	2
19	Surface shape control using constrained optimization on the B-spline representation 1988 ·Computer Aided Geometric Design ·(unknown), Paul D. Frank, (unknown)	17
20	Tensor Methods for Nonlinear Equations 1984 ·SIAM Journal on Numerical Analysis ·Robert B. Schnabel, Paul D. Frank	120

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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