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: "computing derivatives for petsc adjoint solvers using algorithmic differentiation"
  Abstract: Most nonlinear partial differential equation (PDE) solvers require the Jacobian matrix associated to the differential operator. In PETSc, this is typically achieved by either an analytic derivation or numerical approximation method such as finite differences. For complex applications, hand-coding the Jacobian can be time-consuming and error-prone, yet computationally efficient. Whilst finite difference approximations are straight-forward to implement, they have high arithmetic complexity and low accuracy. Alternatively, one may compute Jacobians using algorithmic differentiation (AD), yielding the same derivatives as an analytic derivation, with the added benefit that the implementation is problem independent. In this work, the operator overloading AD tool ADOL-C is applied to generate Jacobians for time-dependent, nonlinear PDEs and their adjoints. Various strategies are considered, including compressed and matrix-free approaches. In numerical experiments with a 2D diffusion-reaction model, the performance of these strategies has been studied and compared to the hand-derived version.

Connected through hyperedge HE-1 (induced by source paper "petsc tsadjoint a discrete adjoint ode solver for first order and second order sensitivity analysis"):
  with members:
    - "automated derivation of the adjoint of high level transient finite element programs"

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)