human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "a structure exploiting numbering algorithm for finite elements on extruded meshes and its performance evaluation in firedrake"
  Abstract: We present a generic algorithm for numbering and then efficiently iterating over the data values attached to an extruded mesh. An extruded mesh is formed by replicating an existing mesh, assumed to be unstructured, to form layers of prismatic cells. Applications of extruded meshes include, but are not limited to, the representation of three-dimensional high aspect ratio domains employed by geophysical finite element simulations. These meshes are structured in the extruded direction. The algorithm presented here exploits this structure to avoid the performance penalty traditionally associated with unstructured meshes. We evaluate the implementation of this algorithm in the Firedrake finite element system on a range of low compute intensity operations which constitute worst cases for data layout performance exploration. The experiments show that having structure along the extruded direction enables the cost of the indirect data accesses to be amortized after 10–20 layers as long as the underlying mesh is well ordered. We characterize the resulting spatial and temporal reuse in a representative set of both continuous-Galerkin and discontinuous-Galerkin discretizations. On meshes with realistic numbers of layers the performance achieved is between 70 and 90 % of a theoretical hardware-specific limit.

Connected through hyperedge HE-1 (induced by source paper "composable block solvers for the four field double porosity permeability model"):
  with members:
    - "a stabilized mixed discontinuous galerkin formulation for double porosity permeability model"
    - "a scalable variational inequality approach for flow through porous media models with pressure dependent viscosity"
    - "a domain specific language for the hybridization and static condensation of finite element methods"
    - "comparative study of finite element methods using the time accuracy size tas spectrum analysis"
    - "modeling flow in porous media with double porosity permeability a stabilized mixed formulation error analysis and numerical solutions"
    - "a performance spectrum for parallel computational frameworks that solve pdes"
    - "tsfc a structure preserving form compiler"
    - "firedrake automating the finite element method by composing abstractions"

Connected through hyperedge HE-2 (induced by source paper "variational inequality approach to enforcing the non negative constraint for advection diffusion equations"):
  with members:
    - "firedrake automating the finite element method by composing abstractions"
    - "large scale optimization based non negative computational framework for diffusion equations parallel implementation and performance studies"
    - "an algorithm for the optimization of finite element integration loops"
    - "a parallel edge orientation algorithm for quadrilateral meshes"
    - "cross loop optimization of arithmetic intensity for finite element local assembly"
    - "on mesh restrictions to satisfy comparison principles maximum principles and the non negative constraint recent developments and new results"
    - "a numerical framework for diffusion controlled bimolecular reactive systems to enforce maximum principles and the non negative constraint"
    - "a numerical methodology for enforcing maximum principles and the non negative constraint for transient diffusion equations"

Connected through hyperedge HE-3 (induced by source paper "firedrake automating the finite element method by composing abstractions"):
  with members:
    - "efficient mesh management in firedrake using petsc dmplex"
    - "cross loop optimization of arithmetic intensity for finite element local assembly"
    - "a framework for automated pde constrained optimisation"
    - "automated derivation of the adjoint of high level transient finite element programs"
    - "dolfin automated finite element computing"
    - "optimizations for quadrature representations of finite element tensors through automated code generation"
    - "mesh algorithms for pde with sieve i mesh distribution"

Connected through hyperedge HE-4 (induced by source paper "an algorithm for the optimization of finite element integration loops"):
  with members:
    - "firedrake automating the finite element method by composing abstractions"
    - "cross loop optimization of arithmetic intensity for finite element local assembly"
    - "optimizations for quadrature representations of finite element tensors through automated code generation"

Question: Please tell me which class the center node 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)