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 32 articles , 1 standard article )

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  1. Adcock, Ben; Martín-Vaquero, Jesús; Richardson, Mark: Resolution-optimal exponential and double-exponential transform methods for functions with endpoint singularities (2017)
  2. Baumann, Gerd; Stenger, Frank: Fractional Fokker-Planck equation (2017)
  3. Maree, S.C.; Ortiz-Gracia, L.; Oosterlee, C.W.: Pricing early-exercise and discrete barrier options by Shannon wavelet expansions (2017)
  4. Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa G.: Approximate calculation of sums. II: Gaussian type quadrature (2016)
  5. Choe, Geon Ho; Lee, Dong Min: Numerical computation of hitting time distributions of increasing Lévy processes (2016)
  6. de la Hoz, Francisco; Cuesta, Carlota M.: A pseudo-spectral method for a non-local KdV-Burgers equation posed on $\mathbbR$ (2016)
  7. de la Hoz, Francisco; Vadillo, Fernando: Numerical simulations of time-dependent partial differential equations (2016)
  8. Sweilam, N.H.; Nagy, A.M.; El-Sayed, Adel A.: Solving time-fractional order telegraph equation via Sinc-Legendre collocation method (2016)
  9. Tarasov, Vasily E.: Geometric interpretation of fractional-order derivative (2016)
  10. Abrarov, S.M.; Quine, B.M.: Sampling by incomplete cosine expansion of the sinc function: application to the Voigt/complex error function (2015)
  11. Babolian, Esmail; Eftekhari, Ali; Saadatmandi, Abbas: A sinc-Galerkin technique for the numerical solution of a class of singular boundary value problems (2015)
  12. Adcock, Ben; Richardson, Mark: New exponential variable transform methods for functions with endpoint singularities (2014)
  13. Boyd, John P.: Solving transcendental equations. The Chebyshev polynomial proxy and other numerical rootfinders, perturbation series, and oracles (2014)
  14. Chen, Xu; Xiao, Ting; Yang, Xiang-qun: A Markov-modulated jump-diffusion risk model with randomized observation periods and threshold dividend strategy (2014)
  15. Han, Lixing; Xu, Jianhong: Proof of Stenger’s conjecture on matrix $I^(-1)$ of sinc methods (2014)
  16. Melnikov, Yu.A.; Reshniak, V.: A semi-analytical approach to Green’s functions for heat equation in regions of irregular shape (2014)
  17. Stanić, Marija P.; Cvetković, Aleksandar S.; Tomović, Tatjana V.: Error estimates for quadrature rules with maximal even trigonometric degree of exactness (2014)
  18. Stanić, Marija P.; Cvetković, Aleksandar S.; Tomović, Tatjana V.: Error estimates for some quadrature rules with maximal trigonometric degree of exactness (2014)
  19. Stenger, Frank; El-Sharkawy, Hany A.M.; Baumann, Gerd: The Lebesgue constant for sinc approximations (2014)
  20. Tanaka, Ken’ichiro: Error control of a numerical formula for the Fourier transform by Ooura’s continuous Euler transform and fractional FFT (2014)

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