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Handbook on numerical methods for hyperbolic problems. Applied and modern issues. (English) Zbl 1364.65001
Handbook of Numerical Analysis 18. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-63910-3/hbk; 978-0-444-63911-0/ebook). xix, 589 p. (2017).

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The articles of this volume will be reviewed individually.
Indexed articles:
Berger, Marsha, Cut cells: meshes and solvers, 1-22 [Zbl 1368.65181]
Shu, C.-W.; Tan, S., Inverse Lax-Wendroff procedure for numerical boundary treatment of hyperbolic equations, 23-52 [Zbl 1366.65080]
Roe, P., Multidimensional upwinding, 53-80 [Zbl 1368.65168]
Xu, Z.; Zhang, X., Bound-preserving high-order schemes, 81-102 [Zbl 1368.65149]
Hu, J.; Jin, Shi; Li, Q., Asymptotic-preserving schemes for multiscale hyperbolic and kinetic equations, 103-129 [Zbl 1366.82029]
Castro, M. J.; Morales de Luna, T.; Parés, C., Well-balanced schemes and path-conservative numerical methods, 131-175 [Zbl 1368.65131]
Chertock, A., A practical guide to deterministic particle methods, 177-202 [Zbl 1368.65206]
Guillard, H.; Nkonga, B., On the behaviour of upwind schemes in the low Mach number limit: a review, 203-231 [Zbl 1366.76061]
Houston, P., Adjoint error estimation and adaptivity for hyperbolic problems, 233-261 [Zbl 1368.65164]
Loseille, A., Unstructured mesh generation and adaptation, 263-302 [Zbl 1368.65182]
Witherden, F. D.; Jameson, A.; Zingg, D. W., The design of steady state schemes for computational aerodynamics, 303-349 [Zbl 1366.76064]
Abgrall, R., Some failures of Riemann solvers, 351-360 [Zbl 1366.76058]
Xing, Y., Numerical methods for the nonlinear shallow water equations, 361-384 [Zbl 1366.76066]
Munz, C.-D.; Sonnendrücker, E., Maxwell and magnetohydrodynamic equations, 385-401 [Zbl 1366.76053]
Gamba, I. M., Deterministic solvers for nonlinear collisional kinetic flows: a conservative spectral scheme for Boltzmann type flows, 403-433 [Zbl 1457.76136]
Čanić, S.; Delle Monache, M. L.; Piccoli, B.; Qiu, J.-M.; Tambača, J., Numerical methods for hyperbolic nets and networks, 435-463 [Zbl 1368.65152]
Klingenberg, C., Numerical methods for astrophysics, 465-477 [Zbl 1369.85002]
Mishra, S., Numerical methods for conservation laws with discontinuous coefficients, 479-506 [Zbl 1368.65156]
Abgrall, R.; Mishra, S., Uncertainty qualification for hyperbolic systems of conservation laws, 507-544 [Zbl 1368.65205]
Abdulle, A.; Henning, P., Multiscale methods for wave problems in heterogeneous media, 545-576 [Zbl 1368.65184]

MSC:
65-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to numerical analysis
65Mxx Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
65Nxx Numerical methods for partial differential equations, boundary value problems
35L99 Hyperbolic equations and hyperbolic systems
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