Results 11 to 20 of about 965 (262)
Hyperbolic three-string vertex
Journal of High Energy Physics, 2021 We begin developing tools to compute off-shell string amplitudes with the recently proposed hyperbolic string vertices of Costello and Zwiebach. Exploiting the relation between a boundary value problem for Liouville’s equation and a monodromy problem for
Atakan Hilmi Fırat
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Mathematics, 2021 A new modified Engquist–Osher-type flux-splitting scheme is proposed to approximate the scalar conservation laws with discontinuous flux function in space. The fact that the discontinuity of the fluxes in space results in the jump of the unknown function
Tingting Xiang +2 more
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Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space Dimensions
The Scientific World Journal, 2013 We extend a family of high-resolution, semidiscrete central schemes for hyperbolic systems of conservation laws to three-space dimensions. Details of the schemes, their implementation, and properties are presented together with results from several ...
Andrew N. Guarendi, Abhilash J. Chandy
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Adaptive symmetric flux limiters with long computation times for hyperbolic conservation laws
Results in Applied Mathematics, 2023 The construction of the limiter is a critical factor in the traditional Total Variation Diminishing (TVD) scheme. Among the classical limiters, superbee has the lowest numerical dissipation, but it can lead to over-compression in smooth regions and ...
Shujiang Tang
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A fourth-order entropy condition scheme for systems of hyperbolic conservation laws
Engineering Applications of Computational Fluid Mechanics, 2021 Based on the analysis of the entropy condition scheme formulation, the accuracy order comes from initial value interpolation and flux reconstruction.
Tong Zhou, Haitao Dong
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Design of optical surfaces conform the hyperbolic Monge-Ampère equation [PDF]
EPJ Web of Conferences, 2022 We present a method for designing freeform optical surfaces for illumination optics. By the laws of reflection, refraction and conservation of energy, a fully nonlinear PDE, the Monge-Ampere equation, is derived for the optical surface.
Bertens M.W.M.C. +3 more
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SYSTEMS OF HYPERBOLIC CONSERVATION LAWS WITH MEMORY [PDF]
Journal of Hyperbolic Differential Equations, 2007 Global weak solutions of bounded variation to systems of balance laws with non-local source are constructed by the method of vanishing viscosity. Suitable dissipativeness assumptions are imposed on the source terms to assure convergence of the method.
Christoforou, Cleopatra +1 more
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Multiresolution analysis for stochastic hyperbolic conservation laws
IMA Journal of Numerical Analysis, 2023 Abstract A multiresolution analysis (MRA) for solving stochastic conservation laws is proposed. Using a novel adaptation strategy and a higher-dimensional deterministic problem, a discontinuous Galerkin (DG) solver is derived. An MRA of the DG spaces for the proposed adaptation strategy is presented.
Herty, Michael +2 more
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Conservation laws for a viscoelastic medium
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2019 In this paper we consider a first order quasilinear non homogenoeus hyperbolic system describing viscoelastic processes. A full classification of first order local conservation laws admitted by such a rate-type model has been given.
Natale Manganaro
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Simple and High-Accurate Schemes for Hyperbolic Conservation Laws
Journal of Applied Mathematics, 2014 The paper constructs a class of simple high-accurate schemes (SHA schemes) with third order approximation accuracy in both space and time to solve linear hyperbolic equations, using linear data reconstruction and Lax-Wendroff scheme.
Renzhong Feng, Zheng Wang
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