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Advances in Nonlinear Hyperbolic Partial Differential Equations: Numerical Analysis and Applications by Tomás Morales de Luna, Sebastiano Boscarino, Peter Frolkovič

Advances in Nonlinear Hyperbolic Partial Differential Equations: Numerical Analysis and Applications

by Tomás Morales de Luna , Sebastiano Boscarino , Peter Frolkovič
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Book cover type: Hardcover
  • ISBN13: 9789819690862
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 163
  • Original Price: EUR 217.99
  • Language: English
  • Edition: N/A
  • Item Weight: 418 grams
  • BISAC Subject(s): Differential Equations / General

Chapter 1 A comparison of the Coco-Russo scheme and -FEM for elliptic equations in arbitrary domains.- Chapter 2 A semi-implicit method for a degenerating convection-diffusion-reaction problem modeling secondary settling tanks.- Chapter 3 Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems: a review.- Chapter 4 Challenges in Stochastic Galerkin Methods for Nonlinear Hyperbolic Systems with Uncertainty.- Chapter 5 On the role of momentum correction factor and general tube law in one-dimensional blood flow models for networks of vessels.- Chapter 6 Numerical modelling of the hemodynamic changes in the inferior vena cava in response to the Valsalva maneuver.

Tomás Morales de Luna is an associate professor at the University of Málaga and a member of the EDANYA group. His research focuses on modelling aspects of geophysical flows, with special interest in sediment transport and dispersive systems, and the design of robust and efficient finite volume schemes for hyperbolic systems of partial differential equations.

Sebastiano Boscarino is associate professor of numerical analysis in the Department of Mathematics and Computer Science at the University of Catania, Italy. He has published numerous research papers on numerical methods for evolutionary partial differential equations and their applications. His research interests include numerical methods for stiff problems, conservation laws, hyperbolic systems with relaxation, kinetic equations, and semi-Lagrangian methods for kinetic equations

Cipriano Escalante Sánchez is an associate professor at the University of Málaga and a member of the EDANYA research group. His work centers on the mathematical modeling of geophysical flows, with a particular emphasis on dispersive phenomena and the development of robust, efficient finite volume methods for solving hyperbolic partial differential equations. His research also involves adapting these numerical methods to high-performance computing architectures.

Peter Frolkovič is an associate professor at the Department of Mathematics of Slovak Technical University in Bratislava. His research focuses on numerical methods for partial differential equations as used in applications of conservation laws and level set methods with special interest in groundwater flow and transport and problems with dynamic interfaces.

Lucas O. Müller is an associate professor at the Department of Mathematics of the University of Trento, Italy. His research focuses on numerical methods for hyperbolic partial differential equations and applications to computational haemodynamics, ranging from whole-body blood flow models to microcirculation.

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