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: "monotonicity preserving finite element schemes based on differentiable nonlinear stabilization"
  Abstract: In this work, we propose a nonlinear stabilization technique for scalar conservation laws with implicit time stepping. The method relies on an artificial diffusion method, based on a graph-Laplacian operator. It is nonlinear, since it depends on a shock detector. Further, the resulting method is linearity preserving. The same shock detector is used to gradually lump the mass matrix. The resulting method is LED, positivity preserving, and also satisfies a global DMP. Lipschitz continuity has also been proved. However, the resulting scheme is highly nonlinear, leading to very poor nonlinear convergence rates. We propose a smooth version of the scheme, which leads to twice differentiable nonlinear stabilization schemes. It allows one to straightforwardly use Newton’s method and obtain quadratic convergence. In the numerical experiments, steady and transient linear transport, and transient Burgers’ equation have been considered in 2D. Using the Newton method with a smooth version of the scheme we can reduce 10 to 20 times the number of iterations of Anderson acceleration with the original non-smooth scheme. In any case, these properties are only true for the converged solution, but not for iterates. In this sense, we have also proposed the concept of projected nonlinear solvers, where a projection step is performed at the end of every nonlinear iterations onto a FE space of admissible solutions. The space of admissible solutions is the one that satisfies the desired monotonic properties (maximum principle or positivity).

Connected through hyperedge HE-1 (induced by source paper "a tutorial driven introduction to the parallel finite element library fempar v1 0 0"):
  with members:
    - "a generic finite element framework on parallel tree based adaptive meshes"
    - "scalable solvers for complex electromagnetics problems"
    - "distributed memory parallelization of the aggregated unfitted finite element method"
    - "numerical modelling of heat transfer and experimental validation in powder bed fusion with the virtual domain approximation"
    - "differentiable monotonicity preserving schemes for discontinuous galerkin methods on arbitrary meshes"
    - "simulation of high temperature superconductors and experimental validation"

Connected through hyperedge HE-2 (induced by source paper "maximum principle preserving space time isogeometric analysis"):
  with members:
    - "differentiable monotonicity preserving schemes for discontinuous galerkin methods on arbitrary meshes"
    - "fempar an object oriented parallel finite element framework"

Connected through hyperedge HE-3 (induced by source paper "fempar an object oriented parallel finite element framework"):
  with members:
    - "differentiable monotonicity preserving schemes for discontinuous galerkin methods on arbitrary meshes"
    - "simulation of high temperature superconductors and experimental validation"
    - "space time balancing domain decomposition"
    - "grins a multiphysics framework based on the libmesh finite element library"

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.NA(Numerical Analysis)