Abstract
Boundary-value problems are differential problems set in an interval (a, b) of the real line or in an open multidimensional region \(\it\Omega\subset\mathbb{R}^d(d=\mathrm{2,3})\) for which the value of the unknown solution (or its derivatives) is prescribed at the end-points a and b of the interval, or on the boundary \(\partial\it\Omega\) of the multidimensional region.
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Keywords
- Numerical Approximation
- Hyperbolic Equation
- Upwind Scheme
- Local Truncation Error
- Homogeneous Dirichlet Boundary Condition
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© 2014 Springer-Verlag Berlin Heidelberg
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Quarteroni, A., Saleri, F., Gervasio, P. (2014). Numerical approximation of boundary-value problems. In: Scientific Computing with MATLAB and Octave. Texts in Computational Science and Engineering, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45367-0_9
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DOI: https://doi.org/10.1007/978-3-642-45367-0_9
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