Castro, Manuel J.; López, Juan Antonio; Parés, Carlos Finite volume simulation of the geostrophic adjustment in a rotating shallow-water system. (English) Zbl 1183.74332 SIAM J. Sci. Comput. 31, No. 1, 444-477 (2008). MSC: 74S10 65M06 35L60 35L65 PDFBibTeX XMLCite \textit{M. J. Castro} et al., SIAM J. Sci. Comput. 31, No. 1, 444--477 (2008; Zbl 1183.74332) Full Text: DOI
Wen, Xin; Jin, Shi The \({l}^1\)-error estimates for a Hamiltonian-preserving scheme for the Liouville equation with piecewise constant potentials. (English) Zbl 1176.65100 SIAM J. Numer. Anal. 46, No. 5, 2688-2714 (2008). MSC: 65M06 65M12 65M25 35L45 70H99 PDFBibTeX XMLCite \textit{X. Wen} and \textit{S. Jin}, SIAM J. Numer. Anal. 46, No. 5, 2688--2714 (2008; Zbl 1176.65100) Full Text: DOI
Waagan, Knut Convergence rate of monotone numerical schemes for Hamilton-Jacobi equations with weak boundary conditions. (English) Zbl 1183.35081 SIAM J. Numer. Anal. 46, No. 5, 2371-2392 (2008). Reviewer: Qin Mengzhao (Beijing) MSC: 35F21 35L60 65M12 49L25 35D40 35A35 PDFBibTeX XMLCite \textit{K. Waagan}, SIAM J. Numer. Anal. 46, No. 5, 2371--2392 (2008; Zbl 1183.35081) Full Text: DOI
Castro, Manuel; Gallardo, José M.; López-García, Juan A.; Parés, Carlos Well-balanced high order extensions of Godunov’s method for semilinear balance laws. (English) Zbl 1159.74045 SIAM J. Numer. Anal. 46, No. 2, 1012-1039 (2008). MSC: 74S10 65M06 35L60 35L65 PDFBibTeX XMLCite \textit{M. Castro} et al., SIAM J. Numer. Anal. 46, No. 2, 1012--1039 (2008; Zbl 1159.74045) Full Text: DOI
Chalons, Christophe; Coquel, Frédéric; Marmignon, Claude Well-balanced time implicit formulation of relaxation schemes for the Euler equations. (English) Zbl 1173.35322 SIAM J. Sci. Comput. 30, No. 1, 394-415 (2008). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 35A35 35L60 35L65 35Q35 65M12 76M12 76N15 PDFBibTeX XMLCite \textit{C. Chalons} et al., SIAM J. Sci. Comput. 30, No. 1, 394--415 (2008; Zbl 1173.35322) Full Text: DOI
Ben-Artzi, Matania; Falcovitz, Joseph Generalized Riemann problems: from the scalar equation to multidimensional fluid dynamics. (English) Zbl 1251.35044 Jorgensen, Palle (ed.) et al., Recent advances in computational sciences. Selected papers from the international workshop on computational sciences and its education, Beijing, China, 29–31 August, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-700-0/hbk; 978-981-279-238-9/ebook). 1-49 (2008). MSC: 35L60 76M20 76L05 76N10 76N15 76Q05 65M06 PDFBibTeX XMLCite \textit{M. Ben-Artzi} and \textit{J. Falcovitz}, in: Recent advances in computational sciences. Selected papers from the international workshop on computational sciences and its education, Beijing, China, 29--31 August, 2005. Hackensack, NJ: World Scientific. 1--49 (2008; Zbl 1251.35044) Full Text: DOI Link
Sun, Yajuan A class of volume-preserving numerical algorithms. (English) Zbl 1158.65062 Appl. Math. Comput. 206, No. 2, 841-852 (2008). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65M06 70H20 35L60 PDFBibTeX XMLCite \textit{Y. Sun}, Appl. Math. Comput. 206, No. 2, 841--852 (2008; Zbl 1158.65062) Full Text: DOI
Caetano, Filipa The linearization of a boundary value problem for a scalar conservation law. (English) Zbl 1158.35385 Commun. Math. Sci. 6, No. 3, 651-667 (2008). MSC: 35L65 35L50 35R05 35L67 PDFBibTeX XMLCite \textit{F. Caetano}, Commun. Math. Sci. 6, No. 3, 651--667 (2008; Zbl 1158.35385) Full Text: DOI Euclid
Achdou, Yves; Capuzzo-Dolcetta, Italo Approximation of solutions of Hamilton-Jacobi equations on the Heisenberg group. (English) Zbl 1153.65083 ESAIM, Math. Model. Numer. Anal. 42, No. 4, 565-591 (2008). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65M06 70H20 35F25 49L25 65M15 PDFBibTeX XMLCite \textit{Y. Achdou} and \textit{I. Capuzzo-Dolcetta}, ESAIM, Math. Model. Numer. Anal. 42, No. 4, 565--591 (2008; Zbl 1153.65083) Full Text: DOI EuDML
Bürger, Raimund; García, Antonio; Karlsen, Kenneth H.; Towers, John D. Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. (English) Zbl 1173.35586 Netw. Heterog. Media 3, No. 1, 1-41 (2008). Reviewer: Argiris I. Delis (Chania) MSC: 35L65 65M06 90B20 35L45 PDFBibTeX XMLCite \textit{R. Bürger} et al., Netw. Heterog. Media 3, No. 1, 1--41 (2008; Zbl 1173.35586) Full Text: DOI
Jovanović, Vladimir Error estimates for the Lax-Friedrichs scheme for balance laws. (English) Zbl 1157.65054 Comput. Methods Appl. Math. 8, No. 2, 130-142 (2008). Reviewer: Petr Sváček (Praha) MSC: 65M15 35L60 35L65 65M06 74B20 74S20 PDFBibTeX XMLCite \textit{V. Jovanović}, Comput. Methods Appl. Math. 8, No. 2, 130--142 (2008; Zbl 1157.65054) Full Text: DOI
Zahran, Yousef Hashem Central ADER schemes for hyperbolic conservation laws. (English) Zbl 1160.35049 J. Math. Anal. Appl. 346, No. 1, 120-140 (2008). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 35L65 35L60 35L67 65M06 35A35 PDFBibTeX XMLCite \textit{Y. H. Zahran}, J. Math. Anal. Appl. 346, No. 1, 120--140 (2008; Zbl 1160.35049) Full Text: DOI
Banks, J. W.; Aslam, T.; Rider, W. J. On sub-linear convergence for linearly degenerate waves in capturing schemes. (English) Zbl 1145.65061 J. Comput. Phys. 227, No. 14, 6985-7002 (2008). MSC: 65M12 35L45 65M06 PDFBibTeX XMLCite \textit{J. W. Banks} et al., J. Comput. Phys. 227, No. 14, 6985--7002 (2008; Zbl 1145.65061) Full Text: DOI Link
Komori, Yoshio Weak first- or second-order implicit Runge-Kutta methods for stochastic differential equations with a scalar Wiener process. (English) Zbl 1147.65004 J. Comput. Appl. Math. 217, No. 1, 166-179 (2008). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 60H10 60H35 65L06 65L20 35F05 PDFBibTeX XMLCite \textit{Y. Komori}, J. Comput. Appl. Math. 217, No. 1, 166--179 (2008; Zbl 1147.65004) Full Text: DOI
Aregba-Driollet, Denise; Briani, Maya; Natalini, Roberto AHO schemes for dissipative hyperbolic systems. (English) Zbl 1137.65053 ESAIM, Proc. 22, 52-66 (2008). MSC: 65M06 35L65 35L45 65M12 PDFBibTeX XMLCite \textit{D. Aregba-Driollet} et al., ESAIM, Proc. 22, 52--66 (2008; Zbl 1137.65053) Full Text: DOI
Calhoun, D.; Helzel, C.; LeVeque, R. J. A finite volume grid for solving hyperbolic problems on the sphere. (English) Zbl 1138.65066 Benzoni-Gavage, Sylvie (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17–21, 2006. Berlin: Springer (ISBN 978-3-540-75711-5/hbk). 355-362 (2008). MSC: 65M06 35L45 65M50 PDFBibTeX XMLCite \textit{D. Calhoun} et al., in: Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17--21, 2006. Berlin: Springer. 355--362 (2008; Zbl 1138.65066)
Gallouët, T. Resonance and nonlinearities. (English) Zbl 1141.35332 Benzoni-Gavage, Sylvie (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17–21, 2006. Berlin: Springer (ISBN 978-3-540-75711-5/hbk). 113-124 (2008). MSC: 35B34 35L60 35L45 PDFBibTeX XMLCite \textit{T. Gallouët}, in: Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17--21, 2006. Berlin: Springer. 113--124 (2008; Zbl 1141.35332) Full Text: DOI
Castro, C. E.; Toro, E. F. Solvers for the high-order Riemann problem for hyperbolic balance laws. (English) Zbl 1148.65066 J. Comput. Phys. 227, No. 4, 2481-2513 (2008). Reviewer: Jialin Hong (Beijing) MSC: 65M06 35L60 76B15 76N15 76M20 PDFBibTeX XMLCite \textit{C. E. Castro} and \textit{E. F. Toro}, J. Comput. Phys. 227, No. 4, 2481--2513 (2008; Zbl 1148.65066) Full Text: DOI
Villedieu, N.; Quintino, T.; Abgrall, R.; Deconinck, H. High-order residual distribution schemes on quadrilateral meshes. (English) Zbl 1135.65402 Int. J. Numer. Methods Fluids 56, No. 8, 1559-1566 (2008). MSC: 65N30 35F30 PDFBibTeX XMLCite \textit{N. Villedieu} et al., Int. J. Numer. Methods Fluids 56, No. 8, 1559--1566 (2008; Zbl 1135.65402) Full Text: DOI
Holdaway, D.; Thuburn, J.; Wood, N. On the relation between order of accuracy, convergence rate and spectral slope for linear numerical methods applied to multiscale problems. (English) Zbl 1135.65363 Int. J. Numer. Methods Fluids 56, No. 8, 1297-1303 (2008). MSC: 65M06 35L45 65M12 PDFBibTeX XMLCite \textit{D. Holdaway} et al., Int. J. Numer. Methods Fluids 56, No. 8, 1297--1303 (2008; Zbl 1135.65363) Full Text: DOI
Ruuth, Steven J.; Merriman, Barry A simple embedding method for solving partial differential equations on surfaces. (English) Zbl 1134.65058 J. Comput. Phys. 227, No. 3, 1943-1961 (2008). MSC: 65M06 35L60 35K55 65M12 PDFBibTeX XMLCite \textit{S. J. Ruuth} and \textit{B. Merriman}, J. Comput. Phys. 227, No. 3, 1943--1961 (2008; Zbl 1134.65058) Full Text: DOI