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 The Fractional PDEs Club at CRUNCH group aims to formulate robust and efficient methods for deterministic and stochastic fractional PDEs (FPDEs) under the supervision of Prof. George Em Karniadakis. This is done through the development of a variety of numerical methods such as finite-difference methods, spectral methods, spectral element methods, and discontinuous Galerkin (DG) methods. We host the FPDEs Club meeting to provide opportunities for enhanced exchanges of ideas and cooperation among the FPDEs community, inside and outside of the FPDEs club. The Fractional PDEs Club at CRUNCH group aims to formulate robust and efficient methods for deterministic and stochastic fractional PDEs (FPDEs) under the supervision of Prof. George Em Karniadakis. This is done through the development of a variety of numerical methods such as finite-difference methods, spectral methods, spectral element methods, and discontinuous Galerkin (DG) methods. We host the FPDEs Club meeting to provide opportunities for enhanced exchanges of ideas and cooperation among the FPDEs community, inside and outside of the FPDEs club.
  
-====Meetings==== 
  
-**Next Meeting: ** <fc #FF0000> Monday, December 5 at 10:00 am </fc> 
  
-Presentations:​ 
  
-1. Can Huang, title TBA 
  
-2. Mamikon Gulian, title: "​Stable Limit Distributions"​+ 
 + 
 + 
  
  
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 ==== Conferences ==== ==== Conferences ====
  
-** Operational Methods in Fractional ​DynamicsNov 6-8CracowPoland. {{:​bookofabstracts-new.pdf|Abstracts}} ​**+** [[https://​icerm.brown.edu/​topical_workshops/​tw18-4-fpde | Fractional ​PDEs: TheoryAlgorithmsand 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)
 +
 +{{lecture3_analfpde.pdf | 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====
  
-[66]  Fangying Song, Title: "Error Analysis of a High Order Method for Time-Fractional Diffusion Equations"​ by Chunwan Lv and Chuanju Xu.+[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"​. 
 + 
 +[67] Mehedi Hasan, Title: "​Nonlinear response of a beam governed by fractional derivatives"​. 
 + 
 +[66] Anna Lischke, Title: ​ "​High-Order Accurate Adaptive Kernel Compression Time-Stepping Schemes for Fractional Differential Equations"​ by Daniel Baffet and Jan Hesthaven. 
 + 
 +[65]  Fangying Song, Title: "Error Analysis of a High Order Method for Time-Fractional Diffusion Equations"​ by Chunwan Lv and Chuanju Xu.
  
-[65] Mehedi Hasan, Title: "​Numerical Methods for Solving Fractional Optimal Control Problems"​.+[64] Mehedi Hasan, Title: "​Numerical Methods for Solving Fractional Optimal Control Problems"​.
  
-[64] Fangying Song, Title: "Fast algorithm for the space-time fractional diffusion equation"​.+[63] Fangying Song, Title: "Fast algorithm for the space-time fractional diffusion equation"​.
  
 [62] Xuejuan Chen, Title: Numerical dissipativity and contractivity of finite difference schemes for fractional ODEs. [62] Xuejuan Chen, Title: Numerical dissipativity and contractivity of finite difference schemes for fractional ODEs.
start.1480349904.txt.gz · Last modified: 2016/11/28 16:18 by anna