The EXCALC package is designed for easy use by all who are familiar with the calculus of Modern Differential Geometry. The program is currently able to handle scalar-valued exterior forms, vectors and operations between them, as well as non-scalar valued forms (indexed forms). It is thus an ideal tool for studying differential equations, doing calculations in general relativity and field theories, or doing simple things such as calculating the Laplacian of a tensor field for an arbitrary given frame.

References in zbMATH (referenced in 41 articles , 1 standard article )

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  1. Frutos Alfaro, Francisco; Carboni Méndez, Rodrigo: Magnetohydrodynamic equations (MHD) generation code (2016)
  2. Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes: Certifying isolated singular points and their multiplicity structure (2015)
  3. Nutku, Y.; Sheftel, M. B.: A family of heavenly metrics (2014)
  4. Sarlet, W.; Prince, G. E.; Crampin, M.: Generalized submersiveness of second-order ordinary differential equations (2009)
  5. Mielke, Eckehard W.; Fuchs, Burkhard; Schunck, Franz E.: Dark matter halos as Bose-Einstein condensates (2006)
  6. Puetzfeld, Dirk: PROCRUSTES: A computer algebra package for post-Newtonian calculations in general relativity (2006)
  7. Hehl, Friedrich W.; Obukhov, Yuri N.: Foundations of classical electrodynamics. Charge, flux, and metric (2003)
  8. Vulcanov, Dumitru N.: Calculation of the Dirac equation in curved spacetimes with possible torsion using \textttMAPLEand \textttREDUCE (2003)
  9. Krasil’shchik, I. S.; Kersten, P. H. M.: Symmetries and recursion operators for classical and supersymmetric differential equations (2000)
  10. Macías, Alfredo; Lämmerzahl, Claus; García, Alberto: A class of colliding waves in metric-affine gravity, nonmetricity and torsion shock waves (2000)
  11. Macías, Alfredo; Socorro, José: Generalized Reissner-Nordström solution in metric-affine gravity (1999)
  12. Prince, G. E.; Aldridge, J. E.; Byrnes, G. B.: A universal Hamilton-Jacobi equation for second-order ODEs (1999)
  13. Aldridge, J. E.; Prince, G. E.: Computer algebra solution of the inverse problem in the calculus of variations (1998)
  14. Havel, Timothy F.: Computational synthetic geometry with Clifford algebra (1998)
  15. Jerie, M.; O’Connor, J. E. R.; Prince, G. E.: Computer algebra determination of symmetries in general relativity (1998)
  16. Macías, Alfredo; Mielke, Eckehard W.; Socorro, José: Solitonic monopole solution in metric-affine gauge theory carrying Weyl charges (1998)
  17. Münch, Uwe; Gronwald, Frank; Hehl, Friedrich W.: A brief guide to variations in teleparallel gauge theories of gravity and the Kaniel-Itin model (1998)
  18. Socorro, José; Macías, Alfredo; Hehl, Friedrich W.: Computer algebra in gravity: Reduce-Excalc programs for (non-)Riemannian space-times. I (1998)
  19. Vulcanov, Dumitru N.: Algebraic programming in the Hamiltonian treatment of the Einstein-Maxwell equations (1998)
  20. Cotăescu, Ion I.; Vulcanov, Dumitru N.: New routines for algebraic programming of the Dirac equation (1997)

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