Computing Qualitatively Correct Approximations of Balance Laws Exponential-Fit, Well-Balanced and Asymptotic-Preserving /

• Main Author: Gosse, Laurent (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Milano : Springer Milan : Imprint: Springer, 2013.
• Series: SIMAI Springer Series, 2
• Subjects: Mathematics.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Physics.; Computational Mathematics and Numerical Analysis.; Partial Differential Equations.; Applications of Mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Numerical and Computational Physics.

Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock wave formation. Such a dissipation property is generally lost when considering h...