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====Meetings==== | ====Meetings==== | ||
- | **Next Meeting: ** <fc #FF0000> Tuesday, July 25 at 12:00 pm </fc> | + | **FPDE Group Seminar: ** <fc #FF0000> Next Meeting: Monday, May 7, 2018 </fc> |
+ | |||
+ | Zhiping Mao & Nan Wang | ||
+ | |||
+ | |||
+ | |||
+ | |||
- | Presentations: | ||
- | Mamikon Gulian: "Normal and Anomalous Diffusion: A Tutorial" by Loukas Vlahos, Heinz Isliker, Yannis Kominis, and Kyriakos Hizanidis. | ||
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==== Conferences ==== | ==== Conferences ==== | ||
- | ** Operational Methods in Fractional Dynamics, Nov 6-8, Cracow, Poland. {{:bookofabstracts-new.pdf|Abstracts}} ** | + | ** [[https://icerm.brown.edu/topical_workshops/tw18-4-fpde | Fractional PDEs: Theory, Algorithms, and Applications]], ICERM (Brown University), Providence, RI, June 18 - 22, 2018 ** |
- | ** [[http://icfda16.com/public/|International Conference on Fractional Differentiation and its Applications]], July 18 - 20, 2016, Novi Sad, Serbia [[https://www.brown.edu/research/projects/muri-fractional-pde/sites/brown.edu.research.projects.muri-fractional-pde/files/uploads/ICFDA16Program.pdf|Conference Program]] ** | ||
+ | ====Courses==== | ||
+ | |||
+ | **Short Course on FPDEs: ** | ||
+ | |||
+ | **Hong Wang, University of South Carolina** | ||
+ | |||
+ | **{{hongwang.doc|Introduction to fractional partial differential equations: Modeling, computation, and analysis}}** | ||
+ | |||
+ | {{lecture1_intromodel.pdf | Part I: From Normal to Anomalous Diffusion}} (April 12) | ||
+ | |||
+ | {{lecture2_numermethods.pdf | Part II: Computational Issues of FPDEs}} (April 19) | ||
+ | |||
+ | Part III: Mathematical Issues of FPDEs (April 26) | ||
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==== FPDE Researchers World-Wide ==== | ==== FPDE Researchers World-Wide ==== | ||
- | [[https://www.brown.edu/research/projects/muri-fractional-pde/sites/brown.edu.research.projects.muri-fractional-pde/files/uploads/FCresearchers_1.docx|FPDE Researchers]] | + | {{:fcresearchers_2.docx|FPDE Researchers}} |
To suggest researchers who should be added to this list, please contact anna_lischke(at)brown(dot)edu. | To suggest researchers who should be added to this list, please contact anna_lischke(at)brown(dot)edu. | ||
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{{fastconvolutions.pdf | Slides from Paris Perdikaris' presentation on "Efficient computing in evolution equations with memory"}} | {{fastconvolutions.pdf | Slides from Paris Perdikaris' presentation on "Efficient computing in evolution equations with memory"}} | ||
+ | |||
+ | {{weihua_deng2017.pdf | Slides from Weihua Deng's presentation on "Open Issues in Boundary Conditions of FPDEs and the Generalized Feynman-Kac Equation}} | ||
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====Members==== | ====Members==== | ||
+ | |||
+ | Prof. George Karniadakis | ||
Prof. Mark Ainsworth | Prof. Mark Ainsworth | ||
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Xuan Zhao | Xuan Zhao | ||
- | |||
- | Mengdi Zheng | ||
Anna Lischke | Anna Lischke | ||
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Jorge Suzuki | Jorge Suzuki | ||
- | Dongkun Zhang | + | Zhiping Mao |
+ | Xiaoning Zheng | ||
+ | Mamikon Gulian | ||
+ | |||
+ | Christian Glusa | ||
+ | |||
+ | Xuejuan Chen | ||
+ | |||
+ | Guofei Pang | ||
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====Presentations==== | ====Presentations==== | ||
+ | |||
+ | [76] Mamikon Gulian, "Fractional Path Integral Monte Carlo" | ||
+ | |||
+ | [75] Anna Lischke, "What is the fractional Laplacian?" | ||
+ | |||
+ | [74] Zhiping Mao: "Discretisations of the spectral fractional Laplacian on general domains with Dirichlet, Neumann, and Robin boundary conditions" by Cusimano, Del Teso, Gerardo-Giorda, and Pagnini. | ||
+ | |||
+ | [73] Xuanjuan Li: "Spectral methods for the Volterra integral equations" | ||
+ | |||
+ | [72] Fangying Song: "Turing Patterns in the Legnyel-Epstein System with Superdiffusion" by Liu, Wu, and Iqbal. | ||
+ | |||
+ | [71] Professor Weihua Deng: "Open Issues in Boundary Conditions of FPDEs and the Generalized Feynman-Kac Equation" | ||
+ | |||
+ | [70] Fangying Song: "A generalization of the Becker model in linear viscoelasticity: creep, relaxation, and internal friction" by Mainardi, Masina, and Spada. | ||
+ | |||
+ | [69] Mamikon Gulian: "Normal and Anomalous Diffusion: A Tutorial" by Loukas Vlahos, Heinz Isliker, Yannis Kominis, and Kyriakos Hizanidis. | ||
[68] Zhiping Mao, Title: "DG method for pressureless Euler equation with nonlocal flocking". | [68] Zhiping Mao, Title: "DG method for pressureless Euler equation with nonlocal flocking". |