Convergence of finite volume monotone schemes for scalar conservation laws on bounded domains

Julien Vovelle

doi:10.1007/s002110100307

Convergence of finite volume monotone schemes for scalar conservation laws on bounded domains

Numerische Mathematik ◽

10.1007/s002110100307 ◽

2002 ◽

Vol 90 (3) ◽

pp. 563-596 ◽

Cited By ~ 39

Author(s):

Julien Vovelle

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Bounded Domains ◽

Scalar Conservation Laws ◽

Monotone Schemes ◽

Scalar Conservation

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Convergence and error estimates in finite volume schemes for general multidimensional scalar conservation laws. I. Explicite monotone schemes

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1994280302671 ◽

1994 ◽

Vol 28 (3) ◽

pp. 267-295 ◽

Cited By ~ 43

Author(s):

J.-P. Vila

Keyword(s):

Conservation Laws ◽

Error Estimates ◽

Finite Volume ◽

Scalar Conservation Laws ◽

Finite Volume Schemes ◽

Monotone Schemes ◽

Scalar Conservation

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Convergence of the Finite Volume method for scalar conservation laws with multiplicative noise: an approach by kinetic formulation

Stochastic Partial Differential Equations Analysis and Computations ◽

10.1007/s40072-019-00146-6 ◽

2019 ◽

Vol 8 (2) ◽

pp. 265-310 ◽

Cited By ~ 1

Author(s):

Sylvain Dotti ◽

Julien Vovelle

Keyword(s):

Conservation Laws ◽

Finite Volume Method ◽

Finite Volume ◽

Multiplicative Noise ◽

Scalar Conservation Laws ◽

Kinetic Formulation ◽

Scalar Conservation ◽

Volume Method

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Convergence of Upwind Finite Volume Schemes for Scalar Conservation Laws in Two Dimensions

SIAM Journal on Numerical Analysis ◽

10.1137/0731017 ◽

1994 ◽

Vol 31 (2) ◽

pp. 324-343 ◽

Cited By ~ 40

Author(s):

Dietmar Kröner ◽

Mirko Rokyta

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Two Dimensions ◽

Scalar Conservation Laws ◽

Finite Volume Schemes ◽

Scalar Conservation

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A finite volume method for scalar conservation laws with stochastic time–space dependent flux functions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.07.014 ◽

2013 ◽

Vol 237 (1) ◽

pp. 614-632 ◽

Cited By ~ 10

Author(s):

Kamel Mohamed ◽

Mohammed Seaid ◽

Mostafa Zahri

Keyword(s):

Conservation Laws ◽

Finite Volume Method ◽

Finite Volume ◽

Scalar Conservation Laws ◽

Time Space ◽

Scalar Conservation ◽

Volume Method ◽

Stochastic Time

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Finite Volume Methods for Nonlinear Scalar Conservation Laws

Finite Volume Methods for Hyperbolic Problems ◽

10.1017/cbo9780511791253.013 ◽

2002 ◽

pp. 227-252

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Finite Volume Methods ◽

Scalar Conservation Laws ◽

Scalar Conservation ◽

Nonlinear Scalar Conservation Laws

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Finite volume schemes with equilibrium type discretization of source terms for scalar conservation laws

Journal of Computational Physics ◽

10.1016/s0021-9991(03)00086-x ◽

2003 ◽

Vol 187 (2) ◽

pp. 391-427 ◽

Cited By ~ 21

Author(s):

Ramaz Botchorishvili ◽

Olivier Pironneau

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Source Terms ◽

Scalar Conservation Laws ◽

Finite Volume Schemes ◽

Scalar Conservation

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An Integrated Quadratic Reconstruction for Finite Volume Schemes to Scalar Conservation Laws in Multiple Dimensions

CSIAM Transactions on Applied Mathematics ◽

10.4208/csiam-am.2020-0017 ◽

2020 ◽

Vol 1 (3) ◽

pp. 437-463

Author(s):

Li Chen

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Scalar Conservation Laws ◽

Finite Volume Schemes ◽

Multiple Dimensions ◽

Scalar Conservation

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Nonlocal Scalar Conservation Laws on Bounded Domains and Applications in Traffic Flow

SIAM Journal on Mathematical Analysis ◽

10.1137/18m119817x ◽

2018 ◽

Vol 50 (6) ◽

pp. 6271-6306 ◽

Cited By ~ 10

Author(s):

Alexander Keimer ◽

Lukas Pflug ◽

Michele Spinola

Keyword(s):

Conservation Laws ◽

Traffic Flow ◽

Bounded Domains ◽

Scalar Conservation Laws ◽

Scalar Conservation

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Convergence of implicit Finite Volume methods for scalar conservation laws with discontinuous flux function

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2008023 ◽

2008 ◽

Vol 42 (5) ◽

pp. 699-727 ◽

Cited By ~ 5

Author(s):

Sébastien Martin ◽

Julien Vovelle

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Finite Volume Methods ◽

Scalar Conservation Laws ◽

Flux Function ◽

Discontinuous Flux Function ◽

Discontinuous Flux ◽

Scalar Conservation

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A Maximum-Principle-Satisfying High-Order Finite Volume Compact WENO Scheme for Scalar Conservation Laws with Applications in Incompressible Flows

Journal of Scientific Computing ◽

10.1007/s10915-014-9954-6 ◽

2014 ◽

Vol 65 (1) ◽

pp. 83-109 ◽

Cited By ~ 10

Author(s):

Yan Guo ◽

Tao Xiong ◽

Yufeng Shi

Keyword(s):

Maximum Principle ◽

Conservation Laws ◽

Finite Volume ◽

Incompressible Flows ◽

High Order ◽

Weno Scheme ◽

Scalar Conservation Laws ◽

Scalar Conservation

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