The software package SPLINEPAK was designed as a supplement to the book ”Spline Functions: Computational Methods” by Larry L. Schumaker. The package is meant for educational purposes only, and no commercial use of the code is permitted. It contains 231 Matlab p-files which code the basic functions described in the book for carrying out various computations with splines. The package deals with computational methods for splines defined on intervals, rectangular partitions, planar triangulations, and triangulations on the sphere. The focus is on interpolation, data fitting, and the numerical solution of boundary-value problems using splines. However, it is expected that the library of p-code in the package will also be useful in solving a variety of other computational problems involving splines.

References in zbMATH (referenced in 27 articles )

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  1. Lai, Ming-Jun; Lanterman, James: Construction of (C^1) polygonal splines over quadrilateral partitions (2022)
  2. Safdari, Hamid; Rajabzadeh, Majid; Khalighi, Moein: LDG approximation of a nonlinear fractional convection-diffusion equation using B-spline basis functions (2022)
  3. Schumaker, Larry L.; Yu, Annan: Approximation by polynomial splines on curved triangulations (2022)
  4. Amat, Sergio; Ruiz, Juan; Shu, Chi-Wang; Trillo, Juan Carlos: On a class of splines free of Gibbs phenomenon (2021)
  5. Aydın, Dursun; Yılmaz, Ersin; Chamidah, Nur: Rational (Padé) approximation for estimating the components of the partially-linear regression model (2021)
  6. Yu, Lili; Chen, Ding-Geng; Liu, Jun: Efficient and direct estimation of the variance-covariance matrix in EM algorithm with interpolation method (2021)
  7. Tommasini, Daniele; Olivieri, David N.: Fast switch and spline scheme for accurate inversion of nonlinear functions: the new first choice solution to Kepler’s equation (2020)
  8. Angeloni, Laura; Costarelli, Danilo; Vinti, Gianluca: A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators (2019)
  9. Coroianu, Lucian; Costarelli, Danilo; Gal, Sorin G.; Vinti, Gianluca: The max-product generalized sampling operators: convergence and quantitative estimates (2019)
  10. Dũng, Dinh; Micchelli, Charles A.; Huy, Vu Nhat: Approximation by translates of a single function of functions in space induced by the convolution with a given function (2019)
  11. Schumaker, Larry L.: Solving elliptic PDE’s on domains with curved boundaries with an immersed penalized boundary method (2019)
  12. Volkov, Yu. S.: Study of the convergence of interpolation processes with splines of even degree (2019)
  13. Asdrubali, Francesco; Baldinelli, Giorgio; Bianchi, Francesco; Costarelli, Danilo; Rotili, Antonella; Seracini, Marco; Vinti, Gianluca: Detection of thermal bridges from thermographic images by means of image processing approximation algorithms (2018)
  14. Lai, Ming-Jun; Wang, Chunmei: A bivariate spline method for second order elliptic equations in non-divergence form (2018)
  15. Paganini, Alberto; Wechsung, Florian; Farrell, Patrick E.: Higher-order moving mesh methods for PDE-constrained shape optimization (2018)
  16. Saffarzadeh, M.; Loghmani, G. B.; Heydari, M.: An iterative technique for the numerical solution of nonlinear stochastic Itô-Volterra integral equations (2018)
  17. Awanou, Gerard: Standard finite elements for the numerical resolution of the elliptic Monge-Ampère equation: Aleksandrov solutions (2017)
  18. Davydov, Oleg; Saeed, Abid: (C^1) quintic splines on domains enclosed by piecewise conics and numerical solution of fully nonlinear elliptic equations (2017)
  19. Lai, Ming-Jun; Lanterman, James: A polygonal spline method for general second-order elliptic equations and its applications (2017)
  20. Lai, Ming-Jun; Mersmann, Clayton: An adaptive triangulation method for bivariate spline solutions of PDEs (2017)

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