The complex-step derivative approximation. - Joaquim R. R. A. Martins; Peter Sturdza; Juan J. Alonso (ACM Trans. Math. Softw., 2003)

pyMDO: An Object-Oriented Framework for Multidisciplinary Design Optimization. - Joaquim R. R. A. Martins; Christopher Marriage; Nathan Tedford (ACM Trans. Math. Softw., 2009)

A Computational Architecture for Coupling Heterogeneous Numerical Models and Computing Coupled Derivatives. - John T. Hwang; Joaquim R. R. A. Martins (ACM Trans. Math. Softw., 2018)

A Python surrogate modeling framework with derivatives. - Mohamed Amine Bouhlel; John T. Hwang; Nathalie Bartoli; Rémi Lafage; Joseph Morlier; Joaquim R. R. A. Martins (Adv. Eng. Softw., 2019)

Gradient-enhanced kriging for high-dimensional problems. - Mohamed Amine Bouhlel; Joaquim R. R. A. Martins (Eng. Comput., 2019)

A Jacobian-free approximate Newton-Krylov startup strategy for RANS simulations. - Anil Yildirim; Gaetan K. W. Kenway; Charles A. Mader; Joaquim R. R. A. Martins (J. Comput. Phys., 2019)

pyOptSparse: A Python framework for large-scale constrained nonlinear optimization of sparse systems. - Neil Wu; Gaetan K. W. Kenway; Charles A. Mader; John Jasa; Joaquim R. R. A. Martins (J. Open Source Softw., 2020)

ADflow: An Open-Source Computational Fluid Dynamics Solver for Aerodynamic and Multidisciplinary Optimization. - Charles A. Mader; Gaetan K. W. Kenway; Anil Yildirim; Joaquim R. R. A. Martins (J. Aerosp. Inf. Syst., 2020)

Accelerating parallel CFD codes on modern vector processors using blockettes. - Anil Yildirim; Charles A. Mader; Joaquim R. R. A. Martins (PASC, 2021)

Adaptive Projected Residual Networks for Learning Parametric Maps from Sparse Data. - Thomas O'Leary-Roseberry; Xiaosong Du; Anirban Chaudhuri; Joaquim R. R. A. Martins; Karen Willcox; Omar Ghattas (CoRR, 2021)

The DIRECT algorithm: 25 years Later. - Donald R. Jones; Joaquim R. R. A. Martins (J. Glob. Optim., 2021)

Machine Learning in Aerodynamic Shape Optimization. - Jichao Li; Xiaosong Du; Joaquim R. R. A. Martins (CoRR, 2022)

Control Co-design of a Hydrokinetic Turbine with Open-loop Optimal Control. - Boxi Jiang; Mohammad Reza Amini; Yingqian Liao; Joaquim R. R. A. Martins; Jing Sun 003 (CoRR, 2022)

Control Co-design of a Hydrokinetic Turbine: A Comparative Study of Open-loop Optimal Control and Feedback Control. - Mohammad Reza Amini; Boxi Jiang; Yingqian Liao; Kartik Naik; Joaquim R. R. A. Martins; Jing Sun 003 (ACC, 2023)

pyGeo: A geometry package for multidisciplinary design optimization. - Hannah M. Hajdik; Anil Yildirim; Neil Wu; Benjamin J. Brelje; Sabet Seraj; Marco Mangano; Joshua L. Anibal; Eirikur Jonsson; Eytan J. Adler; Charles A. Mader; Gaetan K. W. Kenway; Joaquim R. R. A. Martins (J. Open Source Softw., 2023)

Dissipation and time step scaling strategies for low and high Mach number flows. - Sabet Seraj; Anil Yildirim; Joshua L. Anibal; Joaquim R. R. A. Martins (J. Comput. Phys., 2023)

Control Co-Design of a Ducted Hydrokinetic Turbine. - Kartik Naik; Yingqian Liao; Boxi Jiang; Joaquim R. R. A. Martins; Jing Sun 003 (ACC, 2024)

SMT 2.0: A Surrogate Modeling Toolbox with a focus on hierarchical and mixed variables Gaussian processes. - Paul Saves; Rémi Lafage; Nathalie Bartoli; Youssef Diouane; Jasper H. Bussemaker; Thierry Lefebvre; John T. Hwang; Joseph Morlier; Joaquim R. R. A. Martins (Adv. Eng. Softw., 2024)

Automatic Difference Operators for the Eikonal Equation. - Alex Kleb; Krzysztof J. Fidkowksi; Joaquim R. R. A. Martins (SIAM J. Sci. Comput., 2025)

Control Co-Design of Hydrokinetic Turbines Considering Dynamic-Hydrodynamic Coupling. - Boxi Jiang; Mohammad Reza Amini; Yingqian Liao; Kartik Naik; Joaquim R. R. A. Martins; Jing Sun 003 (IEEE Trans. Control. Syst. Technol., 2025)

Verification and Validation for Trustworthy Scientific Machine Learning. - John D. Jakeman; Lorena A. Barba; Joaquim R. R. A. Martins; Thomas O'Leary-Roseberry (CoRR, 2025)