Organizing Committee
- George Karniadakis
Brown University - Francesco Mainardi
University of Bologna - Mark Meerschaert
University of Michigan - Jie Shen
Purdue University - Hong Wang
University of South Carolina
Abstract
Fractional partial differential equations (FPDEs) are emerging as a powerful tool for modeling challenging multiscale phenomena including overlapping microscopic and macroscopic scales. Compared to integer-order PDEs, the fractional order of the derivatives in FPDEs may be a function of space and time or even a distribution, opening up great opportunities for modeling and simulation of multi-physics phenomena, e.g. seamless transition from wave propagation to diffusion, or from local to non-local dynamics. In addition, data-driven fractional differential operators may be constructed to fit data from a particular experiment or specific phenomenon, including the effect of uncertainties. FPDEs lead to a paradigm shift, according to which data-driven fractional operators may be constructed to model a specific phenomenon instead of the current practice of tweaking free parameters that multiply pre-set integer-order differential operators. This workshop will cover all these areas, including (but not limited to) FPDE modeling, stochastic interpretation of FPDEs, efficient and accurate numerical solutions of FPDEs, mathematical analysis of FPDEs, and application of FPDE models.
Confirmed Speakers & Participants
Talks will be presented virtually or in-person as indicated in the schedule below.
- Speaker
- Poster Presenter
- Attendee
- Virtual Attendee
-
Harbir Antil
George Mason University
-
Mario Bencomo
Rice University
-
Animesh Biswas
Iowa State University
-
Andrea Bonito
Texas A&M University
-
Juan Pablo Borthagaray
University of Maryland
-
Evan Camrud
Iowa State University
-
Matthew Causley
Kettering University
-
Cem Celik
Dokuz Eylül University
-
YangQuan Chen
UC Merced
-
Zhen-Qing Chen
University of Washington
-
Yanlai Chen
University of Massachusetts, Dartmouth
-
Brian Choi
Boston University
-
Shue-Sum Chow
Brigham Young University
-
Justin Crum
University of Arizona
-
Marta D'Elia
Sandia National Laboratories, NM
-
Weihua Deng
Lanzhou University
-
Beichuan Deng
Wayne State University
-
Sougata Dhar
The University of Maine
-
Geoffrey Dillon
University of South Carolina
-
Siwei Duo
University of South Carolina
-
Sergei Fedotov
The University of Manchester
-
Nicolas Garcia Trillos
Brown University
-
Roberto Garrappa
University of Bari
-
Varsha Gejji
Savitribai Phule Pune University
-
Yiqi Gu
Purdue University
-
Mamikon Gulian
Brown University
-
Ling Guo
Shanghai Normal University
-
Zhaopeng Hao
Worcester Polytechnic Institute
-
Md Mehedi Hasan
Brown University
-
Derek Hollenbeck
University of California, Merced
-
Youngjoon Hong
University of Illinois, Chicago
-
Xiaozhe Hu
Tufts University
-
Fukeng Huang
Purdue University
-
Olaniyi Iyiola
Minnesota State University Moorhead
-
Jiahua Jiang
University of Massachusetts Dartmouth
-
George Karniadakis
Brown University
-
Nikolaos Kavallaris
Brown University
-
James Kelly
Michigan State University
-
Abdul Khaliq
Middle Tennessee State University
-
Dustin Kremer
University of Siegen
-
Svenja Lage
Heinrich-Heine Universität Düsseldorf
-
Changpin Li
Shanghai University
-
Xianjuan Li
FUZHOU University/BROWN UNIVERSITY
-
Yulong Li
University of Wyoming
-
Ying Li
Missouri University of Science and Technology
-
Anna Lischke
Brown University
-
Yuan Liu
Mississippi State U
-
Yuri Luchko
Beuth Hochschule für Technik
-
Marcin Magdziarz
Wrocław University of Science and Technology
-
Francesco Mainardi
University of Bologna
-
Zhiping Mao
Brown University
-
Maryam Naghibolhosseini
Michigan State University
-
Alberto Nogueira Junior
IBM Research Brazil
-
Deepak Pachpatte
Dr. Babasaheb Ambedkar Marathwada University
-
Jeungeun Park
University of Iowa
-
Charles Parker
Brown University
-
Camelia Pop
University of Minnesota
-
Sivaguru Ravindran
University of Alabama in Huntsville
-
Enrico Scalas
University of Sussex
-
Peter Scheffler
University of Siegen
-
Jie Shen
Purdue University
-
Fangying Song
Brown University
-
Pablo Raúl Stinga
Iowa State University
-
Yanhui Su
Brown University
-
Tim Thompson
The University of Waterloo
-
Tingting Wang
Brown University
-
Nan Wang
Brown University
-
Hong Wang
University of South Carolina
-
Mahamadi Warma
University of Puerto Rico
-
Bruce West
US Army Research Office
-
wuzhe xu
University at Buffalo
-
Chuanju Xu
Xiamen University
-
Mohsen Zayernouri
Michigan State University
-
Zhongqiang Zhang
Worcester Polytechnic Institute
-
Yanzhi Zhang
Missouri University of Sciences and Technology
-
Kaixuan Zhang
Brown University
-
Lifei Zhao
Brown University
-
Yue Zhao
Brown University
-
Tinggang Zhao
Lanzhou City University
-
Tingtao Zhou
Massachusetts Institute of Technology