Handbook of Sinc numerical methods. With CD-ROM. This book deals with the approximation by sinc functions and the application to the numerical solution of partial differential equations. It contains five chapters. 1. One dimensional Sinc theory – 2. Sinc convolution-boundary integral equation methods for partial differential equations (PDEs) and integral equations – 3. Explicit 1-D program solutions via Sinc-Pack – 4. Explicit program solutions of PDEs via Sinc-Pack – 5. Directory of programs. – Most sections of chapters 1 to 3 contain several problems at their end.

References in zbMATH (referenced in 76 articles , 1 standard article )

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  1. Occorsio, Donatella; Russo, Maria Grazia; Themistoclakis, Woula: Filtered integration rules for finite weighted Hilbert transforms (2022)
  2. Vabishchevich, Petr N.: Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator (2022)
  3. Ajeel, M. Shareef; Gachpazan, M.; Soheili, Ali R.: Sinc-Muntz-Legendre collocation method for solving a class of nonlinear fractional partial differential equations (2021)
  4. Antil, Harbir; Dondl, Patrick; Striet, Ludwig: Approximation of integral fractional Laplacian and fractional PDEs via sinc-basis (2021)
  5. Khalil, Omar A.; Baumann, Gerd: Convergence rate estimation of poly-sinc-based discontinuous Galerkin methods (2021)
  6. Khalil, Omar A.; Baumann, Gerd: Discontinuous Galerkin methods using poly-sinc approximation (2021)
  7. Meyer, Marcela Molina; Prieto Medina, Frank Richard: Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions (2021)
  8. Moshtaghi, Nasrin; Saadatmandi, Abbas: Polynomial-Sinc collocation method combined with the Legendre-Gauss quadrature rule for numerical solution of distributed order fractional differential equations (2021)
  9. Okayama, Tomoaki; Hanada, Shu: A modified Stenger’s quadrature formula for infinite integrals of unilateral rapidly decreasing functions and its theoretical error bound (2021)
  10. Okayama, Tomoaki; Nomura, Tomoki; Tsuruta, Saki: New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions (2021)
  11. Abrarov, Sanjar M.; Quine, Brendan M.: A rational approximation of the sinc function based on sampling and the Fourier transforms (2020)
  12. Liu, YongGe; Chen, Xu; Zhuo, WenYan: Dividends under threshold dividend strategy with randomized observation periods and capital-exchange agreement (2020)
  13. Mohammadi Rick, Solmaz; Rashidinia, Jalil: Solving fractional diffusion equations by sinc and radial basis functions (2020)
  14. Okayama, Tomoaki; Shintaku, Yuya; Katsuura, Eisuke: New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval (2020)
  15. Annaby, M. H.; Tharwat, M. M.: Sinc-regularized techniques to compute eigenvalues of Schrödinger operators on (L^2(I)\oplus\mathbbC^2) (2019)
  16. Berthe, Edouard; Dang, Duy-Minh; Ortiz-Gracia, Luis: A Shannon wavelet method for pricing foreign exchange options under the Heston multi-factor CIR model (2019)
  17. Eftekhari, Ali: Double exponential Euler-sinc collocation method for a time-fractional convection-diffusion equation (2019)
  18. Phelan, Carolyn E.; Marazzina, Daniele; Fusai, Gianluca; Germano, Guido: Hilbert transform, spectral filters and option pricing (2019)
  19. Youssef, Maha; Baumann, Gerd: Troesch’s problem solved by sinc methods (2019)
  20. Zhang, Xiaolong; Boyd, John P.: Revisiting the Thomas-Fermi equation: accelerating rational Chebyshev series through coordinate transformations (2019)

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