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Convergence of approximate solutions to conservation laws. (English) Zbl 0519.35054

##### MSC:
 35L65 Hyperbolic conservation laws 35A35 Theoretical approximation in context of 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 35B35 Stability in context of PDEs 35B45 A priori estimates in context of PDEs 35L60 First-order nonlinear hyperbolic equations 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 60B05 Probability measures on topological spaces 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) 74B20 Nonlinear elasticity 76L05 Shock waves and blast waves in fluid mechanics 76N15 Gas dynamics (general theory)
##### Citations:
Zbl 0399.46022; Zbl 0437.35004
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##### References:
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