scholarly journals Numerical Approximation of Oscillatory Solutions of Hyperbolic-Elliptic Systems of Conservation Laws by Multiresolution Schemes

2009 ◽  
Vol 1 (5) ◽  
pp. 581-614 ◽  
Author(s):  
Stefan Berres
Keyword(s):  
Conservation Laws ◽  
Numerical Approximation ◽  
Elliptic Systems ◽  
Oscillatory Solutions ◽  
Systems Of Conservation Laws ◽  
Multiresolution Schemes

Discrete port-Hamiltonian formulation and numerical approximation for systems of two conservation laws

2017 ◽  
Vol 65 (5) ◽  
Author(s):  
Paul Kotyczka ◽  
Bernhard Maschke
Keyword(s):  
Conservation Laws ◽  
Numerical Approximation ◽  
Hamiltonian Formulation ◽  
Topological Information ◽  
Finite Dimensional Approximation ◽  
Finite Dimensional ◽  
Chain Complexes ◽  
Dimensional Approximation ◽  
Systems Of Conservation Laws ◽  
Discrete Formulation

AbstractWe discuss the discrete formulation of systems of conservation laws in port-Hamiltonian form on dual chain complexes. Based on integral balance equations and topological information, this representation is exact and qualifies as a control model. The finite-dimensional approximation requires an energy discretization that yields discrete constitutive equations. We give (i) a brief overview of discrete modeling of conservation laws on

scholarly journals On the uniqueness of solutions to hyperbolic systems of conservation laws

2021 ◽  
Vol 291 ◽  
pp. 110-153
Author(s):  
Shyam Sundar Ghoshal ◽  
Animesh Jana ◽  
Konstantinos Koumatos
Keyword(s):  
Conservation Laws ◽  
Hyperbolic Systems ◽  
Uniqueness Of Solutions ◽  
Systems Of Conservation Laws
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