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Mathematics

[896] Spectral theory of closed distributive operators

Angus E. Taylor Los Angeles, Cal.

TBD mathscidoc:1701.331012

Acta Mathematica, 84, (1), 189-224, 1951.1

[ Download ] [ 2017-01-08 20:31:30 uploaded by actaadmin ] [ 2545 downloads ] [ 0 comments ]

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Martin Schechter. On the Essential Spectrum of an Arbitrary Operator I. 1966.

Lumer G, Rosenblum M. Linear operator equations[J]. Proceedings of the American Mathematical Society, 1959, 10(1): 32-41.

Schechter M. On the invariance of the essential spectrum of an arbitrary operator. III[J]. Mathematical Proceedings of the Cambridge Philosophical Society, 1968, 64(04): 975-984.

Martin Schechter. Invariance of the essential spectrum. 1965.

Bernhard Gramsch. Integration und holomorphe Funktionen in lokalbeschränkten Räumen. 1966.

Bishop E. Spectral theory for operators on a Banach space[J]. Transactions of the American Mathematical Society, 1957, 86(2): 414-445.

Schaefer H H. Spectral measures in locally convex algebras[J]. Acta Mathematica, 1962: 125-173.

Schaefer H. Halbgeordnete lokalkonvexe Vektorrume. III[J]. Mathematische Annalen, 1959, 138(2): 259-286.

Langer H. Zur SpektraltheorieJ-selbstadjungierter Operatoren[J]. Mathematische Annalen, 1962, 146(1): 60-85.

Langer H. Zur Spektraltheorie J -selbstadjungierter Operatoren[J]. Mathematische Annalen, 1962.

[ Cited by 39 ]

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[897] Jordan algebras of type$I$

Erling Størmer Oslo Universitet, Oslo, Norway

TBD mathscidoc:1701.331299

Acta Mathematica, 115, (1), 165-184, 1965.3

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Erik M Alfsen · Frederic W Shultz · Erling Stormer. A Gelfand-Neumark Theorem for Jordan Algebras. 1978.

Shultz F W. On normed Jordan algebras which are Banach dual spaces[J]. Journal of Functional Analysis, 1979, 31(3): 360-376.

Araki H. On a Characterization of the State Space of Quantum Mechanics[J]. Communications in Mathematical Physics, 1980, 75(1): 1-24.

Stormer E. Irreducible Jordan algebras of self-adjoint operators[J]. Transactions of the American Mathematical Society, 1968, 130(1): 153-166.

Alfsen E M, Hancheolsen H, Shultz F W, et al. STATE SPACES OF C*-ALGEBRAS[J]. Acta Mathematica, 1980, 144(1): 267-305.

Wilhelm Kaup. Über die Klassifikation der symmetrischen hermiteschen Mannigfaltigkeiten unendlicher Dimension. II. 1981.

Stormer E. On anti-automorphisms of von Neumann algebras.[J]. Pacific Journal of Mathematics, 1967, 21(2): 349-370.

Ayupov S A. On the existence of a trace on a modular JW-factor[J]. Russian Mathematical Surveys, 1989, 44(1): 231-232.

Bunce L J, Wright J D. Quantum measures and states on Jordan algebras[J]. Communications in Mathematical Physics, 1985, 98(2): 187-202.

Ho T, Martinezmoreno J, Peralta A M, et al. DERIVATIONS ON REAL AND COMPLEX JB-TRIPLES[J]. Journal of The London Mathematical Society-second Series, 2002, 65(1): 85-102.

[ Cited by 104 ]

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[898] Invariant sets under iteration of rational functions

Hans Brolin

TBD mathscidoc:1701.332234

Arkiv for Matematik, 6, (2), 103-144, 1965.7

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[ Cited by 307 ]

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[899] Efficient maximal Poisson-disk sampling and remeshing on surfaces

Jianwei Guo Dong-Ming Yan Xiaohong Jia Xiaopeng Zhang

Geometric Modeling and Processing mathscidoc:1608.16025

[ Download ] [ 2016-08-19 16:38:30 uploaded by dmyan ] [ 2541 downloads ] [ 0 comments ]

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Yan D, Guo J, Wang B, et al. A Survey of Blue-Noise Sampling and Its Applications[J]. Journal of Computer Science and Technology, 2015, 30(3): 439-452.

Zhang S F, Guo J, Zhang H, et al. Capacity constrained blue-noise sampling on surfaces[J]. Computers \u0026 Graphics, 2016, 55(55): 44-54.

Yan D, Wonka P. Non-Obtuse Remeshing with Centroidal Voronoi Tessellation[J]. IEEE Transactions on Visualization and Computer Graphics, 2016, 22(9): 2136-2144.

Guo J, Yan D, Chen L, et al. Tetrahedral meshing via maximal Poisson-disk sampling[J]. Computer Aided Geometric Design, 2016, 43(43): 186-199.

Weize Quan · Jianwei Guo · Dongming Yan · Weiliang Meng · Xiaopeng Zhang. Analyzing surface sampling patterns using the localized pair correlation function. 2016.

Mohamed S Ebeida · Ahmad A Rushdi · Muhammad A Awad · Ahmed H Mahmoud · Dongming Yan · Shawn Allen English · John D Owens · Chandrajit Bajaj · Scott …. Disk Density Tuning of a Maximal Random Packing. 2016.

[ Cited by 6 ]

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[900] Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes

Xiangxiong Zhang Brown University Yinhua Xia University of Science and Technology of China Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1610.25083

Journal of Scientific Computing, 50, 29-62, 2012

[ Download ] [ 2016-10-12 11:58:37 uploaded by chiwangshu ] [ 2541 downloads ] [ 0 comments ]

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Zhang X, Shu C. On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes[J]. Journal of Computational Physics, 2010, 229(23): 8918-8934.

Xing Y, Zhang X, Shu C, et al. Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations[J]. Advances in Water Resources, 2010, 33(12): 1476-1493.

Zhang X, Shu C. Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments[J]. Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences, 2011, 467(2134): 2752-2776.

Xiangxiong Zhang · Chiwang Shu. Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms. 2011.

Zhang X, Shu C. Positivity-preserving high order finite difference WENO schemes for compressible Euler equations[J]. Journal of Computational Physics, 2012, 231(5): 2245-2258.

Wang C, Zhang X, Shu C, et al. Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations[J]. Journal of Computational Physics, 2012, 231(2): 653-665.

Xing Y, Shu C. High-order finite volume WENO schemes for the shallow water equations with dry states[J]. Advances in Water Resources, 2011, 34(8): 1026-1038.

Zhang Y, Zhang X, Shu C, et al. Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes[J]. Journal of Computational Physics, 2013: 295-316.

Sambasivan S K, Udaykumar H S. Ghost Fluid Method for Strong Shock Interactions Part 2: Immersed Solid Boundaries[J]. AIAA Journal, 2012, 47(12): 2923-2937.

Yingda Cheng · Irene M Gamba · P J Morrison. Study of conservation and recurrence of Runge---Kutta discontinuous Galerkin schemes for Vlasov---Poisson systems. 2013.

[ Cited by 69 ]

Abstract

In earlier work, two of the authors constructed uniformly high order accurate finite volume and discontinuous Galerkin (DG) schemes satisfying a strict maximum principle for scalar conservation laws on rectangular meshes. The technique is generalized to positivity preserving (of density and pressure) high order DG or finite volume schemes for compressible Euler equations. The extension of these schemes to triangular meshes is conceptually plausible but highly nontrivial. In this paper, we first introduce a special quadrature rule which is exact for two-variable polynomials over a triangle of a given degree and satisfy a few other conditions, by which we can construct high order maximum principle satisfying finite volume schemes (e.g. essentially non-oscillatory (ENO) or weighted ENO (WENO) schemes) or DG method solving two dimensional scalar conservation laws on triangular meshes. The same method can preserve the maximum principle for DG or finite volume schemes solving two-dimensional incompressible Euler equations in the vorticity stream-function formulation, or any passive convection equation with an incompressible velocity field. We also obtain positivity preserving (for density and pressure) high order DG or finite volume schemes solving compressible Euler equations on triangular meshes. Numerical tests for the third order Runge-Kutta DG (RKDG) method on unstructured meshes are reported.

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Mathematics

[896] Spectral theory of closed distributive operators

Angus E. Taylor Los Angeles, Cal.

TBD mathscidoc:1701.331012

[897] Jordan algebras of type$I$

Erling Størmer Oslo Universitet, Oslo, Norway

TBD mathscidoc:1701.331299

[898] Invariant sets under iteration of rational functions

Hans Brolin

TBD mathscidoc:1701.332234

[899] Efficient maximal Poisson-disk sampling and remeshing on surfaces

Jianwei Guo Dong-Ming Yan Xiaohong Jia Xiaopeng Zhang

Geometric Modeling and Processing mathscidoc:1608.16025

[900] Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes

Xiangxiong Zhang Brown University Yinhua Xia University of Science and Technology of China Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1610.25083

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