Approximate solution of the Riemann problem for the Burgers equation by the transversal method of lines
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Publication:1083179
DOI10.1007/BF00946763zbMath0604.65063MaRDI QIDQ1083179
Publication date: 1986
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Cauchy problemBurgers equationRiemann problemshock wavesdiscontinuous solutionRothe methodtransversal method of lines
Shock waves and blast waves in fluid mechanics (76L05) Partial differential equations of mathematical physics and other areas of application (35Q99) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Cites Work
- The convergence of the horizontal line method for the continuity equation with discontinuous data
- On approximating conjugate, focal, and \(\sigma\)-points for linear differential equations of second order
- Differential inequalities for terminal value problems
- On Convergence of Monotone Finite Difference Schemes with Variable Spatial Differencing
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