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  1. Models of Computation

    Register machines are introduced as a machine-based model of computation. We show that register machines compute exactly the class of general...
    Chapter 2024
  2. Fast Computation of Analytic Capacity

    A boundary integral equation method is presented for fast computation of the analytic capacities of compact sets in the complex plane. The method is...

    Mohamed M. S. Nasser, Christopher C. Green, Matti Vuorinen in Computational Methods and Function Theory
    Article Open access 07 June 2024
  3. On the Computation Complexity of the Systems of Finite Abelian Group Elements

    Abstract

    The computation complexity of the systems of the finite Abelian group elements is studied in the paper. The complexity of computation means...

    Article 01 August 2023
  4. On the Computation of the SVD of Fourier Submatrices

    Contiguous submatrices of the Fourier matrix are known to be ill-conditioned. In a recent paper in SIAM review A. Barnett has provided new bounds on...

    S. Dirckx, D. Huybrechs, R. Ongenae in Journal of Scientific Computing
    Article 17 April 2023
  5. Enhanced Computation of the Proximity Operator for Perspective Functions

    In this paper, we provide an explicit expression for the proximity operator of a perspective of any proper lower semicontinuous convex function...

    Luis M. Briceño-Arias, Cristóbal Vivar-Vargas in Journal of Optimization Theory and Applications
    Article 10 January 2024
  6. Stable computation of analytical expressions for the gravity and magnetic field response of distant polyhedral targets

    Though implemented through different evaluation strategies, the analytical formulation of the polyhedral gravity and magnetic field response involves...

    Dimitrios Tsoulis, Horst Holstein, Konstantinos P. Anastasiadis in GEM - International Journal on Geomathematics
    Article 21 May 2024
  7. Modifications of Newton-Cotes formulas for computation of repeated integrals and derivatives

    Standard algorithms for numerical integration are defined for simple integrals. Formulas for computation of repeated integrals and derivatives for...

    Katarína Tvrdá, Peter Novotný in Czechoslovak Mathematical Journal
    Article 24 March 2023
  8. Entangling Problem Hamiltonian for Adiabatic Quantum Computation

    Abstract

    Adiabatic quantum computation starts from embedding a computational problem into a Hamiltonian whose ground state encodes the solution to the...

    Article 01 July 2022
  9. Characterization, verification and computation of robust controlled invariants for monotone dynamical systems

    In this paper, we consider the problem of computing robust controlled invariants for discrete-time monotone dynamical systems. We consider different...

    Adnane Saoud, Murat Arcak in Mathematics of Control, Signals, and Systems
    Article 19 September 2023
  10. Some Optimally Convergent Algorithms for Decoupling the Computation of Biot’s Model

    We study numerical algorithms for solving Biot’s model. Based on a three-field reformulation, we present some algorithms that are inspired by the...

    Mingchao Cai, Huipeng Gu, ... Mo Mu in Journal of Scientific Computing
    Article 07 October 2023
  11. On Stochastic Roundoff Errors in Gradient Descent with Low-Precision Computation

    When implementing the gradient descent method in low precision, the employment of stochastic rounding schemes helps to prevent stagnation of...

    Lu **a, Stefano Massei, ... Barry Koren in Journal of Optimization Theory and Applications
    Article 20 December 2023
  12. Computation of Effective Viscosities for Rarefied Gas Flows Using Ray-Tracing

    The recovery of rarefied gas flow fields with the Boltzmann equation is too computationally expensive whenever solid–gas boundary conditions exhibit...

    Jean-Michel Tucny, Sébastien Leclaire, ... François Bertrand in International Journal of Applied and Computational Mathematics
    Article 21 September 2023
  13. ReLU neural networks of polynomial size for exact maximum flow computation

    This paper studies the expressive power of artificial neural networks with rectified linear units. In order to study them as a model of real-valued ...

    Christoph Hertrich, Leon Sering in Mathematical Programming
    Article 25 May 2024
  14. Fast and accurate computation of the Euclidean norm of a vector

    The numerical computation of the Euclidean norm of a vector is perfectly well conditioned with favorite a priori error estimates. Recently there is...

    Article Open access 06 June 2023
  15. Fast norm computation in smooth-degree Abelian number fields

    This paper presents a fast method to compute algebraic norms of integral elements of smooth-degree cyclotomic fields, and, more generally,...

    Daniel J. Bernstein in Research in Number Theory
    Article Open access 10 November 2023
  16. Fitting cylinders computation with an application to measuring 3D shapes

    This paper observes a fitting cylinders problem for 3 D shapes. The method presented defines two cylinders that fit well with the shape considered....

    Joviša Žunić, Padraig Corcoran in Computational and Applied Mathematics
    Article 07 June 2023
  17. Improving Quantum Computation by Optimized Qubit Routing

    In this work we propose a high-quality decomposition approach for qubit routing by swap insertion. This optimization problem arises in the context of...

    Friedrich Wagner, Andreas Bärmann, ... Markus Weissenbäck in Journal of Optimization Theory and Applications
    Article Open access 04 May 2023
  18. Fuzzy Similarity for Parallel Function Computation Model

    We should consider a best search function computation model, not just expression-based function computation model, because if we use the best search...
    Reference work entry 2023
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