C-XSC 2.0

A C++ class library for extended scientific computing. The original version of the C-XSC library is about ten years old. But in the last decade the underlying programming language C++ has been developed significantly. Since November 1998 the C++ standard is available and more and more compilers support (most of) the features of this standard. The new version C-XSC 2.0 conforms to this standard. Application programs written for older C-XSC versions have to be modified to run with C-XSC 2.0. Several examples will help the user to see which changes have to be done. Note, that all sample codes given in [R. Klatte et al., C-XSC. A C++ class library for extended scientific computing. Berlin: Springer-Verlag (1993; Zbl 0814.68035)] have to be modified to work properly with C-XSC 2.0. Sample codes are available on the web page http://www.math.uni-wuppertal.de/ xsc/cxsc/examples.

References in zbMATH (referenced in 115 articles , 1 standard article )

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  1. Pacella, Filomena; Plum, Michael; Rütters, Dagmar: A computer-assisted existence proof for Emden’s equation on an unbounded $L$-shaped domain (2017)
  2. Sainudiin, Raazesh; Welch, David: The transmission process: a combinatorial stochastic process for the evolution of transmission trees over networks (2016)
  3. Walter F. Mascarenhas: Moore: Interval Arithmetic in Modern C++ (2016) arXiv
  4. Kolberg, Mariana; Bohlender, Gerd; Fernandes, Luiz Gustavo: An efficient approach to solve very large dense linear systems with verified computing on clusters. (2015)
  5. Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier; Zamora, Alberto Martín: Remarks on geometric properties of SQG sharp fronts and $\alpha$-patches (2014)
  6. Frommer, Andreas; Hashemi, Behnam; Sablik, Thomas: Computing enclosures for the inverse square root and the sign function of a matrix (2014)
  7. Hölbig, Carlos A.; Do Carmo, Andriele; Arendt, Luis P.: High accuracy and interval arithmetic on multicore processors (2013)
  8. Kiel, Stefan; Luther, Wolfram; Dyllong, Eva: Verified distance computation between non-convex superquadrics using hierarchical space decomposition structures (2013) ioport
  9. Krämer, Walter: High performance verified computing using C-XSC (2013)
  10. Zimmer, Michael; Rebner, Gabor; Krämer, Walter: An overview of C-XSC as a tool for interval arithmetic and its application in computing verified uncertain probabilistic models under Dempster-Shafer theory (2013) ioport
  11. Dyllong, Eva; Kiel, Stefan: A comparison of verified distance computation between implicit objects using different arithmetics for range enclosure (2012)
  12. Frommer, Andreas; Hashemi, Behnam: Verified error bounds for solutions of Sylvester matrix equations (2012)
  13. Kiel, Stefan: Verified spatial subdivision of implicit objects using implicit linear interval estimations (2012)
  14. Krämer, Walter: Multiple/arbitrary precision interval computations in C-XSC (2012)
  15. Rump, Siegfried M.: Fast interval matrix multiplication (2012)
  16. Zimmer, Michael; Krämer, Walter; Popova, Evgenija D.: Solvers for the verified solution of parametric linear systems (2012)
  17. Chen, Chin-Yun: Extended interval Newton method based on the precise quotient set (2011)
  18. Chen, Xiaojun; Frommer, Andreas; Lang, Bruno: Computational existence proofs for spherical $t$-designs (2011)
  19. Johnson, Tomas; Tucker, Warwick: A note on the convergence of parametrised non-resonant invariant manifolds (2011)
  20. Kieffer, M.; Walter, E.: Guaranteed estimation of the parameters of nonlinear continuous-time models: contributions of interval analysis (2011)

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