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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, September 4 at 12:00 pm </fc> 
  
-Presentations: ​ 
  
-1. Anna Lischke, "What is the fractional Laplacian?"​ 
  
-2. Mamikon Gulian, "​Fractional Path Integral Monte Carlo"+ 
  
  
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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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 ====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. [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.
start.1504193264.txt.gz · Last modified: 2017/08/31 11:27 by anna