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https://doi.org/10.1007/978-94-009-4484-8In this chapter we analyze some simple examples, which suggest that the error quantification should take into account of the possible grow in time of the error. This observation provides a motivation for going beyond more classical local-in-time concepts of error (so-called .).的事物 发表于 2025-3-22 10:54:18
Sitka Spruce (,, (Bong.) Carr.),In this chapter we illustrate our approach to the error estimate analysis, for a scalar, space-dependent, non-resonant balance law. A wave-front tracking scheme is analyzed, leading to a generic linear dependence in time of the error. Numerical illustrations are given for accretive case and for the case of periodic forcing.Guileless 发表于 2025-3-22 13:08:05
Cells of the Blood Circulation,In this chapter we address a semilinear system of two equations, in one space dimension, related to the wave equation with space-dependent damping. An approximation scheme is defined, of Well-Balanced type; for this scheme an error estimate is devised by means of the stability analysis for hyperbolic systems.Guileless 发表于 2025-3-22 18:39:46
Cell and Tissue Reaction EngineeringIn this chapter we analyze the scheme, which was introduced in the previous chapter, by means of a classical Kuznetsov approach. An alternative qualitative estimate, in terms of time and mesh size, is therefore devised. The two estimates are compared, revealing complementary aspects.前奏曲 发表于 2025-3-23 00:33:28
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Local and Global Error Estimates,In this chapter we analyze some simple examples, which suggest that the error quantification should take into account of the possible grow in time of the error. This observation provides a motivation for going beyond more classical local-in-time concepts of error (so-called .).conflate 发表于 2025-3-23 07:10:34
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