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Bézier solutions of the wave equation. (English) Zbl 1127.35343

Laganà, Antonio (ed.) et al., Computational science and its applications — ICCSA 2004. International conference, Assisi, Italy, May 14–17, 2004. Proceedings, Part II. Berlin: Springer (ISBN 3-540-22056-9/pbk). Lecture Notes in Computer Science 3044, 631-640 (2004).
Summary: We study polynomial solutions in the Bézier form of the wave equation in dimensions one and two. We explicitly determine which control points of the Bézier solution at two different times fix the solution.
For the entire collection see [Zbl 1051.68015].

MSC:

35L05 Wave equation
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
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