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Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation. (English) Zbl 0381.35015

MSC:
35F25 Initial value problems for nonlinear first-order PDEs
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
65N99 Numerical methods for partial differential equations, boundary value problems
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35A35 Theoretical approximation in context of PDEs
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