human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "fast matrix free evaluation of discontinuous galerkin finite element operators"):
  Abstract: We present an algorithmic framework for matrix-free evaluation of discontinuous Galerkin finite element operators based on sum factorization on quadrilateral and hexahedral meshes. We identify a set of kernels for fast quadrature on cells and faces targeting a wide class of weak forms originating from linear and nonlinear partial differential equations. Different algorithms and data structures for the implementation of operator evaluation are compared in an in-depth performance analysis. The sum factorization kernels are optimized by vectorization over several cells and faces and an even-odd decomposition of the one-dimensional compute kernels. In isolation our implementation then reaches up to 60\% of arithmetic peak on Intel Haswell and Broadwell processors and up to 50\% of arithmetic peak on Intel Knights Landing. The full operator evaluation reaches only about half that throughput due to memory bandwidth limitations from loading the input and output vectors, MPI ghost exchange, as well as handling variable coefficients and the geometry. Our performance analysis shows that the results are often within 10\% of the available memory bandwidth for the proposed implementation, with the exception of the Cartesian mesh case where the cost of gather operations and MPI communication are more substantial.

Includes members:
  Member "exa dune flexible pde solvers numerical methods and applications":
    also connected through other hyperedges:
      (none)
  Member "a study of vectorization for matrix free finite element methods":
    also connected through other hyperedges:
      (none)
  Member "efficient explicit time stepping of high order discontinuous galerkin schemes for waves":
    also connected through other hyperedges:
      (none)
  Member "firedrake automating the finite element method by composing abstractions":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "automatic weak imposition of free slip boundary conditions via nitsche s method application to nonlinear problems in geodynamics")
  Member "an algorithm for the optimization of finite element integration loops":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "automatically harnessing sparse acceleration")
  Member "factorizing the factorization a spectral element solver for elliptic equations with linear operation count":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "robust multigrid for high order discontinuous galerkin methods")
  Member "gpu accelerated spectral finite elements on all hex meshes":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "finding hexahedrizations for small quadrangulations of the sphere")
  Member "loo py transformation based code generation for gpus and cpus":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a mechanism for balancing accuracy and scope in cross machine black box gpu performance modeling")

Question: Please tell me which class the source paper belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.MS(Mathematical Software)