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 63 articles , 1 standard article )

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  1. Abrarov, Sanjar M.; Quine, Brendan M.: A rational approximation of the sinc function based on sampling and the Fourier transforms (2020)
  2. Liu, YongGe; Chen, Xu; Zhuo, WenYan: Dividends under threshold dividend strategy with randomized observation periods and capital-exchange agreement (2020)
  3. Okayama, Tomoaki; Shintaku, Yuya; Katsuura, Eisuke: New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval (2020)
  4. Annaby, M. H.; Tharwat, M. M.: Sinc-regularized techniques to compute eigenvalues of Schrödinger operators on (L^2(I)\oplus\mathbbC^2) (2019)
  5. 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)
  6. Phelan, Carolyn E.; Marazzina, Daniele; Fusai, Gianluca; Germano, Guido: Hilbert transform, spectral filters and option pricing (2019)
  7. Zhang, Xiaolong; Boyd, John P.: Revisiting the Thomas-Fermi equation: accelerating rational Chebyshev series through coordinate transformations (2019)
  8. Colldeforns-Papiol, Gemma; Ortiz-Gracia, Luis: Computation of market risk measures with stochastic liquidity horizon (2018)
  9. Dang, Duy-Minh; Ortiz-Gracia, Luis: A dimension reduction Shannon-wavelet based method for option pricing (2018)
  10. Fahim, Atefeh; Araghi, Mohammad Ali Fariborzi: Numerical solution of convection-diffusion equations with memory term based on sinc method (2018)
  11. Moghaddam, Behrouz Parsa; Tenreiro Machado, J. A.; Babaei, Afshin: A computationally efficient method for tempered fractional differential equations with application (2018)
  12. Okayama, Tomoaki: Error estimates with explicit constants for the sinc approximation over infinite intervals (2018)
  13. Phelan, Carolyn E.; Marazzina, Daniele; Fusai, Gianluca; Germano, Guido: Fluctuation identities with continuous monitoring and their application to the pricing of barrier options (2018)
  14. Pourbashash, Hossein: Global analysis of the Babesiosis disease in bovine and tick populations model and numerical simulation with multistage modified sinc method (2018)
  15. Tanaka, Ken’ichiro; Okayama, Tomoaki; Sugihara, Masaaki: An optimal approximation formula for functions with singularities (2018)
  16. Adcock, Ben; Martín-Vaquero, Jesús; Richardson, Mark: Resolution-optimal exponential and double-exponential transform methods for functions with endpoint singularities (2017)
  17. Alkan, Sertan; Hatipoglu, Veysel Fuat: Approximate solutions of Volterra-Fredholm integro-differential equations of fractional order (2017)
  18. Asharabi, Rashad Mudhish; Al-Haddad, Hamoud: A bivariate sampling series involving mixed partial derivatives (2017)
  19. Baumann, Gerd; Stenger, Frank: Fractional Fokker-Planck equation (2017)
  20. Boyd, John P.: The Crane equation (u u_x x = - 2): the general explicit solution and a case study of Chebyshev polynomial series for functions with weak endpoint singularities (2017)

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