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 48 articles , 1 standard article )

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  1. 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)
  2. Zhang, Xiaolong; Boyd, John P.: Revisiting the Thomas-Fermi equation: accelerating rational Chebyshev series through coordinate transformations (2019)
  3. Colldeforns-Papiol, Gemma; Ortiz-Gracia, Luis: Computation of market risk measures with stochastic liquidity horizon (2018)
  4. Dang, Duy-Minh; Ortiz-Gracia, Luis: A dimension reduction Shannon-wavelet based method for option pricing (2018)
  5. Moghaddam, Behrouz Parsa; Tenreiro Machado, J. A.; Babaei, Afshin: A computationally efficient method for tempered fractional differential equations with application (2018)
  6. Phelan, Carolyn E.; Marazzina, Daniele; Fusai, Gianluca; Germano, Guido: Fluctuation identities with continuous monitoring and their application to the pricing of barrier options (2018)
  7. Pourbashash, Hossein: Global analysis of the Babesiosis disease in bovine and tick populations model and numerical simulation with multistage modified sinc method (2018)
  8. Tanaka, Ken’ichiro; Okayama, Tomoaki; Sugihara, Masaaki: An optimal approximation formula for functions with singularities (2018)
  9. Adcock, Ben; Martín-Vaquero, Jesús; Richardson, Mark: Resolution-optimal exponential and double-exponential transform methods for functions with endpoint singularities (2017)
  10. Alkan, Sertan; Hatipoglu, Veysel Fuat: Approximate solutions of Volterra-Fredholm integro-differential equations of fractional order (2017)
  11. Baumann, Gerd; Stenger, Frank: Fractional Fokker-Planck equation (2017)
  12. Colldeforns-Papiol, G.; Ortiz-Gracia, L.; Oosterlee, C. W.: Two-dimensional Shannon wavelet inverse Fourier technique for pricing European options (2017)
  13. Jalilian, Y.; Ghasemi, M.: On the solutions of a nonlinear fractional integro-differential equation of pantograph type (2017)
  14. Maree, S. C.; Ortiz-Gracia, L.; Oosterlee, C. W.: Pricing early-exercise and discrete barrier options by Shannon wavelet expansions (2017)
  15. Mohsen, Adel A. K.: Accurate function sinc interpolation and derivative estimations over finite intervals (2017)
  16. Stenger, Frank: Approximating the Riemann zeta and related functions (2017)
  17. Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa G.: Approximate calculation of sums. II: Gaussian type quadrature (2016)
  18. Choe, Geon Ho; Lee, Dong Min: Numerical computation of hitting time distributions of increasing Lévy processes (2016)
  19. de la Hoz, Francisco; Cuesta, Carlota M.: A pseudo-spectral method for a non-local KdV-Burgers equation posed on (\mathbbR) (2016)
  20. de la Hoz, Francisco; Vadillo, Fernando: Numerical simulations of time-dependent partial differential equations (2016)

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