Numerical and Symbolic Scientific Computing

Numerical and Symbolic Scientific Computing

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The book presents the state of the art and results and also includes articles pointing to future developments. Most of the articles center around the theme of linear partial differential equations. Major aspects are fast solvers in elastoplasticity, symbolic analysis for boundary problems, symbolic treatment of operators, computer algebra, and finite element methods, a symbolic approach to finite difference schemes, cylindrical algebraic decomposition and local Fourier analysis, and white noise analysis for stochastic partial differential equations. Further numerical-symbolic topics range from applied and computational geometry to computer algebra methods used for total variation energy minimization.24. 25. 26. 27. 28. 29. 32. 33. 34. 35. 36. 37. 38. 39. 40. Beuchler, S., Pillwein, V., Zaglmayr, S.: Sparsity optimized high order ... Birkh Iˆauser, Basel (2005) Chyzak , F.: Gr Iˆobner bases, symbolic summation and symbolic integration. ... problems with applications Demkowicz, L., Monk, P., Vardapetyan, L., Rachowicz, W.: De Rham diagram for hp finite element spaces. ... Cambridge University Press, Cambridge (2001) Eibner, T., Melenk, J.M.: An adaptive strategy for hp-FEM based onanbsp;...

Title:Numerical and Symbolic Scientific Computing
Author:Ulrich Langer, Peter Paule
Publisher:Springer Science & Business Media - 2011-11-19


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