van Leer, Bram; Nishikawa, Hiroaki Towards the ultimate understanding of MUSCL: Pitfalls in achieving third-order accuracy. (English) Zbl 07516458 J. Comput. Phys. 446, Article ID 110640, 26 p. (2021). MSC: 65Mxx 76Mxx 65Lxx PDFBibTeX XMLCite \textit{B. van Leer} and \textit{H. Nishikawa}, J. Comput. Phys. 446, Article ID 110640, 26 p. (2021; Zbl 07516458) Full Text: DOI
van Leer, Bram A historical oversight: Vladimir P. Kolgan and his high-resolution scheme. (English) Zbl 1316.65001 J. Comput. Phys. 230, No. 7, 2378-2383 (2011). MSC: 65-03 01A70 76-03 PDFBibTeX XMLCite \textit{B. van Leer}, J. Comput. Phys. 230, No. 7, 2378--2383 (2011; Zbl 1316.65001) Full Text: DOI
van Raalte, Marc; van Leer, Bram Bilinear forms for the recovery-based discontinuous Galerkin method for diffusion. (English) Zbl 1364.65261 Commun. Comput. Phys. 5, No. 2-4, 683-693 (2009). MSC: 65N30 PDFBibTeX XMLCite \textit{M. van Raalte} and \textit{B. van Leer}, Commun. Comput. Phys. 5, No. 2--4, 683--693 (2009; Zbl 1364.65261)
Suzuki, Yoshifumi; van Leer, Bram A space-time discontinuous Galerkin method for extended hydrodynamics. (English) Zbl 1375.76091 Puppo, Gabriella (ed.) et al., Numerical methods for balance laws. Caserta: Dipartimento di Matematica, Seconda Università di Napoli (ISBN 978-88-548-3360-9/hbk). Quaderni di Matematica 24, 245-302 (2009). MSC: 76M10 65M08 65M60 65M22 76P05 PDFBibTeX XMLCite \textit{Y. Suzuki} and \textit{B. van Leer}, Quad. Mat. 24, 245--302 (2009; Zbl 1375.76091)
Nishikawa, Hiroaki; van Leer, Bram Optimal multigrid convergence by elliptic/hyperbolic splitting. (English) Zbl 1027.65132 J. Comput. Phys. 190, No. 1, 52-63 (2003). MSC: 65M55 65M12 65M06 35L60 76N15 76M12 PDFBibTeX XMLCite \textit{H. Nishikawa} and \textit{B. van Leer}, J. Comput. Phys. 190, No. 1, 52--63 (2003; Zbl 1027.65132) Full Text: DOI
Mott, David R.; Oran, Elaine S.; van Leer, Bram A quasi-steady-state solver for the stiff ordinary differential equations of reaction kinetics. (English) Zbl 0967.65083 J. Comput. Phys. 164, No. 2, 407-428 (2000). Reviewer: Plamen Yordanov Yalamov (Russe) MSC: 65L06 34A34 80A32 65L20 65L05 80A25 PDFBibTeX XMLCite \textit{D. R. Mott} et al., J. Comput. Phys. 164, No. 2, 407--428 (2000; Zbl 0967.65083) Full Text: DOI
van Leer, Bram An introduction to the article “Reminiscences about difference schemes” by S. K. Godunov. (English) Zbl 0936.65105 J. Comput. Phys. 153, No. 1, 1-5 (1999). Reviewer: E.Emmrich (Berlin) MSC: 65M06 01A65 35L65 65-03 76N15 76M20 PDFBibTeX XMLCite \textit{B. van Leer}, J. Comput. Phys. 153, No. 1, 1--5 (1999; Zbl 0936.65105) Full Text: DOI
Koren, B.; van Leer, B. Analysis of preconditioning and multigrid for Euler flows with low- subsonic regions. (English) Zbl 0827.76059 Adv. Comput. Math. 4, No. 1-2, 127-144 (1995). MSC: 76M25 76G25 65M12 PDFBibTeX XMLCite \textit{B. Koren} and \textit{B. van Leer}, Adv. Comput. Math. 4, No. 1--2, 127--144 (1995; Zbl 0827.76059) Full Text: DOI
van Leer, Bram; Lee, Wen-Tzong; Roe, Philip L.; Powell, Kenneth G.; Tai, Chang-Hsien Design of optimally smoothing multistage schemes for the Euler equations. (English) Zbl 0758.76043 Commun. Appl. Numer. Methods 8, No. 10, 761-769 (1992). MSC: 76M20 76N15 65M06 PDFBibTeX XMLCite \textit{B. van Leer} et al., Commun. Appl. Numer. Methods 8, No. 10, 761--769 (1992; Zbl 0758.76043) Full Text: DOI Link
Roe, P. L.; van Leer, B. Non-existence, non-uniqueness and slow convergence in discrete conservation laws. (English) Zbl 0668.76028 Numerical methods for fluid dynamics III, Proc. 3rd Conf., Oxford/UK 1988, Inst. Math. Appl. Conf. Ser., New Ser. 17, 519-529 (1988). MSC: 76D05 65M99 PDFBibTeX XML
Liou, Meng-Sing; van Leer, Bram; Shuen, Jian-Shun Splitting of inviscid fluxes for real gases. (English) Zbl 0638.76087 NASA Tech. Memo., Inst. Comput. Mech. Propul. ICOMP-88-7, 29 p. (1988). MSC: 76N15 76M99 65Z05 PDFBibTeX XML
van Leer, Bram On numerical dispersion by upwind differencing. (English) Zbl 0619.65078 Appl. Numer. Math. 2, 379-384 (1986). Reviewer: V.Subba Rao MSC: 65M06 65M15 35L45 PDFBibTeX XMLCite \textit{B. van Leer}, Appl. Numer. Math. 2, 379--384 (1986; Zbl 0619.65078) Full Text: DOI
van Leer, Bram; Mulder, William A. Relaxation methods for hyperbolic conservation laws. (English) Zbl 0621.65127 Numerical methods for the Euler equations of fluid dynamics, Proc. INRIA Workshop, Rocquencourt/France 1983, 312-333 (1985). Reviewer: V.P.Tyagi MSC: 65Z05 76N10 65N22 65H10 35Q99 PDFBibTeX XML
van Leer, Bram Upwind-difference methods for aerodynamic problems governed by the Euler equations. (English) Zbl 0582.76065 Large-scale computations in fluid mechanics, Proc. 15th AMS-SIAM Summer Semin. Appl. Math., La Jolla/Calif. 1983, Lect. Appl. Math. 22, Pt. 2, 327-336 (1985). MSC: 76H05 76M99 65N06 PDFBibTeX XML
Sonneveld, P.; van Leer, B. A minimax problem along the imaginary axis. (English) Zbl 0571.65062 Nieuw Arch. Wiskd., IV. Ser. 3, 19-22 (1985). Reviewer: E.Hairer MSC: 65L05 65L20 65M20 41A10 33B10 PDFBibTeX XMLCite \textit{P. Sonneveld} and \textit{B. van Leer}, Nieuw Arch. Wiskd., IV. Ser. 3, 19--22 (1985; Zbl 0571.65062)
van Leer, Bram Multidimensional explicit difference schemes for hyperbolic conservation laws. (English) Zbl 0565.65052 Computing methods in applied sciences and engineering VI, Proc. 6th Int. Symp., Versailles 1983, 493-497 (1984). Reviewer: V.Makarov MSC: 65M06 65M12 35L65 PDFBibTeX XML
van Leer, Bram On the relation between the upwind-differencing schemes of Godunov, Engquist-Osher and Roe. (English) Zbl 0547.65065 SIAM J. Sci. Stat. Comput. 5, 1-20 (1984). Reviewer: I.N.Molčanov MSC: 65M12 35L65 35Q99 PDFBibTeX XMLCite \textit{B. van Leer}, SIAM J. Sci. Stat. Comput. 5, 1--20 (1984; Zbl 0547.65065) Full Text: DOI
Harten, Amiram; Lax, Peter D.; van Leer, Bram On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. (English) Zbl 0565.65051 SIAM Rev. 25, 35-61 (1983). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{A. Harten} et al., SIAM Rev. 25, 35--61 (1983; Zbl 0565.65051) Full Text: DOI
van Leer, B. Upwind differencing for hyperbolic systems of conservation laws. (English) Zbl 0467.76075 Methodes numeriques dans les sciences de l’ingenieur, 2e Congr. int. G.A.M.N.I., Paris 1980, Vol. 1, 137-149 (1980). MSC: 76Rxx 65N06 35L99 65Z05 PDFBibTeX XML
van Leer, Bram Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method. (English) Zbl 1364.65223 J. Comput. Phys. 32, 101-136 (1979). MSC: 65N06 76M20 PDFBibTeX XMLCite \textit{B. van Leer}, J. Comput. Phys. 32, 101--136 (1979; Zbl 1364.65223) Full Text: DOI
van Leer, Bram Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. (English) Zbl 0339.76056 J. Comput. Phys. 23, 276-299 (1977). MSC: 76R99 65N35 PDFBibTeX XMLCite \textit{B. van Leer}, J. Comput. Phys. 23, 276--299 (1977; Zbl 0339.76056) Full Text: DOI
van Leer, Bram Towards the ultimate conservative difference scheme. III: Upstream- centered finite-difference schemes for ideal compressible flow. (English) Zbl 0339.76039 J. Comput. Phys. 23, 263-275 (1977). MSC: 76G25 76H05 76J20 65N35 PDFBibTeX XMLCite \textit{B. van Leer}, J. Comput. Phys. 23, 263--275 (1977; Zbl 0339.76039) Full Text: DOI
van Leer, Bram Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme. (English) Zbl 0276.65055 J. Comput. Phys. 14, 361-370 (1974). MSC: 65N35 76M20 PDFBibTeX XMLCite \textit{B. van Leer}, J. Comput. Phys. 14, 361--370 (1974; Zbl 0276.65055) Full Text: DOI