A discontinuous Galerkin method for the Cahn-Hilliard equation. - Garth N. Wells; Ellen Kuhl; Krishna C. Garikipati (J. Comput. Phys., 2006)

Distributed association control in shared wireless networks. - Krishna C. Garikipati; Kang G. Shin (SECON, 2013)

Measurement-based transmission schemes for network MIMO. - Krishna C. Garikipati; Kang G. Shin (MobiHoc, 2014)

Improving transport design for WARP SDR deployments. - Krishna C. Garikipati; Kang G. Shin (SRIF@SIGCOMM, 2014)

RT-OPEX: Flexible Scheduling for Cloud-RAN Processing. - Krishna C. Garikipati; Kassem Fawaz; Kang G. Shin (CoNEXT, 2016)

Scalable Real-time Transport of Baseband Traffic. - Krishna C. Garikipati; Kang G. Shin (CoRR, 2017)

Integrating machine learning and multiscale modeling - perspectives, challenges, and opportunities in the biological, biomedical, and behavioral sciences. - Mark S. Alber; Adrian Buganza Tepole; William R. Cannon; Suvranu De; Salvador Dura-Bernal; Krishna C. Garikipati; George E. Karniadakis; William W. Lytton; Paris Perdikaris; Linda R. Petzold; Ellen Kuhl (npj Digit. Medicine, 2019)

A computational framework for the morpho-elastic development of molluskan shells by surface and volume growth. - Shiva Rudraraju; Derek E. Moulton; Régis Chirat; Alain Goriely; Krishna C. Garikipati (PLoS Comput. Biol., 2019)

On the Voronoi Implicit Interface Method. - Alexander Zaitzeff; Selim Esedoglu; Krishna C. Garikipati (SIAM J. Sci. Comput., 2019)

Machine learning materials physics: Multi-resolution neural networks learn the free energy and nonlinear elastic response of evolving microstructures. - Xiaoxuan Zhang; Krishna C. Garikipati (CoRR, 2020)

Identification of the partial differential equations governing microstructure evolution in materials: Inference over incomplete, sparse and spatially non-overlapping data. - Zhenlin Wang; Xun Huan; Krishna C. Garikipati (CoRR, 2020)

Active learning workflows and integrable deep neural networks for representing the free energy functions of alloy. - Gregory H. Teichert; Anirudh Natarajan; Anton Van der Ven; Krishna C. Garikipati (CoRR, 2020)

Second order threshold dynamics schemes for two phase motion by mean curvature. - Alexander Zaitzeff; Selim Esedoglu; Krishna C. Garikipati (J. Comput. Phys., 2020)

Variational Extrapolation of Implicit Schemes for General Gradient Flows. - Alexander Zaitzeff; Selim Esedoglu; Krishna C. Garikipati (SIAM J. Numer. Anal., 2020)

Bayesian neural networks for weak solution of PDEs with uncertainty quantification. - Xiaoxuan Zhang; Krishna C. Garikipati (CoRR, 2021)

LixCoO2 phase stability studied by machine learning-enabled scale bridging between electronic structure, statistical mechanics and phase field theories. - Gregory H. Teichert; Sambit Das; Muratahan Aykol; Chirranjeevi Balaji Gopal; Vikram Gavini; Krishna C. Garikipati (CoRR, 2021)

Reduced order models from computed states of physical systems using non-local calculus on finite weighted graphs. - Matthew Duschenes; Krishna C. Garikipati (CoRR, 2021)

mechanoChemML: A software library for machine learning in computational materials physics. - X. Zhang; Gregory H. Teichert; Z. Wang; Matthew Duschenes; Siddhartha Srivastava; A. Sunderarajan; E. Livingston; Krishna C. Garikipati (CoRR, 2021)

High order, semi-implicit, energy stable schemes for gradient flows. - Alexander Zaitzeff; Selim Esedoglu; Krishna C. Garikipati (J. Comput. Phys., 2021)

CRIMSON: An open-source software framework for cardiovascular integrated modelling and simulation. - Christopher J. Arthurs; Rostislav Khlebnikov; Alex Melville; Marija Marcan; Alberto Gómez 002; Desmond Dillon-Murphy; Federica Cuomo; Miguel Silva Vieira; Jonas Schollenberger; Sabrina R. Lynch; Christopher Tossas-Betancourt; Kritika Iyer; et al. (PLoS Comput. Biol., 2021)

A heteroencoder architecture for prediction of failure locations in porous metals using variational inference. - Wyatt Bridgman; Xiaoxuan Zhang; Gregory H. Teichert; Mohammad Khalil; Krishna C. Garikipati; Reese E. Jones (CoRR, 2022)

Machine Learning in Heterogeneous Porous Materials. - Marta D'Elia; Hang Deng; Cedric G. Fraces; Krishna C. Garikipati; Lori Graham-Brady; Amanda A. Howard; George Em Karniadakis; Vahid Keshavarzzadeh; Robert M. Kirby; J. Nathan Kutz; Chunhui Li; Xing Liu; et al. (CoRR, 2022)

Numerical analysis of non-local calculus on finite weighted graphs, with application to reduced-order modelling of dynamical systems. - Matthew Duschenes; Siddhartha Srivastava; Krishna C. Garikipati (CoRR, 2022)

A fourth-order phase-field fracture model: Formulation and numerical solution using a continuous/discontinuous Galerkin method. - Lampros Svolos; Hashem M. Mourad; Gianmarco Manzini; Krishna C. Garikipati (CoRR, 2022)

Label-free learning of elliptic partial differential equation solvers with generalizability across boundary value problems. - Xiaoxuan Zhang; Krishna C. Garikipati (CoRR, 2023)

Bridging scales with Machine Learning: From first principles statistical mechanics to continuum phase field computations to study order disorder transitions in LixCoO2. - Gregory H. Teichert; Sambit Das; Mostafa Faghih Shojaei; Jamie Holber; Timothy Mueller; Linda Hung; Vikram Gavini; Krishna C. Garikipati (CoRR, 2023)

FP-IRL: Fokker-Planck-based Inverse Reinforcement Learning - A Physics-Constrained Approach to Markov Decision Processes. - Chengyang Huang; Siddhartha Srivastava; Xun Huan; Krishna C. Garikipati (CoRR, 2023)

Attention-based Multi-fidelity Machine Learning Model for Computational Fractional Flow Reserve Assessment. - Haizhou Yang; C. Alberto Figueroa; Krishna C. Garikipati (CoRR, 2023)

High order schemes for gradient flow with respect to a metric. - Saem Han; Selim Esedoglu; Krishna C. Garikipati (J. Comput. Phys., 2023)

A Multi-physics Model of Flow from Coronary Angiography: Insights into Microvascular Function. - Haizhou Yang; Jiyang Zhang; Ismael Assi; Brahmajee K. Nallamothu; Krishna C. Garikipati; C. Alberto Figueroa (CoRR, 2024)

Physics- and data-driven Active Learning of neural network representations for free energy functions of materials from statistical mechanics. - Jamie Holber; Krishna C. Garikipati (CoRR, 2025)

AI-University: An LLM-based platform for instructional alignment to scientific classrooms. - Mostafa Faghih Shojaei; Rahul Gulati; Benjamin A. Jasperson; Shangshang Wang; Simone Cimolato; Dangli Cao; Willie Neiswanger; Krishna C. Garikipati (CoRR, 2025)