MuST

MuST: the multilevel sinc transform. A fast multilevel algorithm (MuST) for evaluating an n-sample sinc interpolant at mn points is presented. For uniform grids, its complexity is 25mnlog(1/δ) flops for the sinc kernel and 75mnlog(1/δ) for the sincd kernel, where δ is the target evaluation accuracy. MuST is faster than fast Fourier transform- and fast multiple method-based evaluations for large n and/or for large δ. It is also applicable to nonuniform grids and to other kernels. Numerical experiments demonstrating the algorithm’s practicality are presented.

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References in zbMATH (referenced in 10 articles , 1 standard article )

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  1. Trynin, Aleksandr Yur’evich; Kireeva, Ekaterina Dmitrievna: The principle of localization in the class of Riemann integrable functions for the processes of Lagrange-Sturm-Liouville (2020)
  2. Trynin, A. Yu.: On the uniform approximation of functions of bounded variation by Lagrange interpolation polynomials with a matrix (\mathcalL_n^(\alpha_n,\beta_n)) of Jacobi nodes (2020)
  3. Trynin, Aleksandr Yur’evich: Convergence of the Lagrange-Sturm-Liouville processes for continuous functions of bounded variation (2018)
  4. Trynin, Aleksandr Yur’evich: Uniform convergence of Lagrange-Sturm-Liouville processes on one functional class (2018)
  5. Trynin, A. Yu.: Sufficient condition for convergence of Lagrange-Sturm-Liouville processes in terms of one-sided modulus of continuity (2018)
  6. Trynin, A. Yu.: Approximation of continuous on a segment functions with the help of linear combinations of sincs (2016)
  7. Trynin, A. Yu.: On necessary and sufficient conditions for convergence of sinc-approximations (2016)
  8. Trynin, A. Yu.: Necessary and sufficient conditions for the uniform on a segment sinc-approximations functions of bounded variation (2016)
  9. Trynin, Aleksandr Yur’evich: On some properties of sinc approximations of continuous functions on the interval (2015)
  10. Livne, Oren E.; Brandt, Achi E.: MuST: the multilevel sinc transform (2011)