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001 978-3-540-27907-5
003 DE-He213
005 20181203160143.0
007 cr nn 008mamaa
008 100301s2005 gw | s |||| 0|eng d
020 _a9783540279075
_9978-3-540-27907-5
024 7 _a10.1007/3-540-27907-5
_2doi
040 _aISI Library, Kolkata
050 4 _aQA71-90
072 7 _aPBKS
_2bicssc
072 7 _aMAT006000
_2bisacsh
072 7 _aPBKS
_2thema
082 0 4 _a518
_223
245 1 0 _aAnalysis and Numerics for Conservation Laws
_h[electronic resource] /
_cedited by Gerald Warnecke.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2005.
300 _aX, 542 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aWave Processes at Interfaces -- Numerics for Magnetoplasmadynamic Propulsion -- Hexagonal Kinetic Models and the Numerical Simulation of Kinetic Boundary Layers -- High-resolution Simulation of Detonations with Detailed Chemistry -- Numerical Linear Stability Analysis for Compressible Fluids -- Simulation of Solar Radiative Magneto-Convection -- Riemann Problem for the Euler Equation with Non-Convex Equation of State including Phase Transitions -- Radiation Magnetohydrodynamics: Analysis for Model Problems and Efficient 3d-Simulations for the Full System -- Kinetic Schemes for Selected Initial and Boundary Value Problems -- A Local Level-Set Method under Involvement of Topological Aspects -- Hyperbolic Systems and Transport Equations in Mathematical Biology -- Travelling Waves in Systems of Hyperbolic Balance Laws -- The Role of the Jacobian in the Adaptive Discontinuous Galerkin Method for the Compressible Euler Equations -- The Multi-Scale Dust Formation in Substellar Atmospheres -- Meshless Methods for Conservation Laws -- Simulations of Turbulent Thermonuclear Burning in Type Ia Supernovae -- Hyperbolic GLM Scheme for Elliptic Constraints in Computational Electromagnetics and MHD -- Flexible Flame Structure Modelling in a Flame Front Tracking Scheme -- Riemann-Solver Free Schemes -- Relaxation Dynamics, Scaling Limits and Convergence of Relaxation Schemes -- Multidimensional Adaptive Staggered Grids -- On Hyperbolic Relaxation Problems.
520 _aWhatdoasupernovaexplosioninouterspace,?owaroundanairfoil and knocking in combustion engines have in common? The physical and chemical mechanisms as well as the sizes of these processes are quite di?erent. So are the motivations for studying them scienti?cally. The super- 8 nova is a thermo-nuclear explosion on a scale of 10 cm. Astrophysicists try to understand them in order to get insight into fundamental properties of the universe. In ?ows around airfoils of commercial airliners at the scale of 3 10 cm shock waves occur that in?uence the stability of the wings as well as fuel consumption in ?ight. This requires appropriate design of the shape and structure of airfoils by engineers. Knocking occurs in combustion, a chemical 1 process, and must be avoided since it damages motors. The scale is 10 cm and these processes must be optimized for e?ciency and environmental conside- tions. The common thread is that the underlying ?uid ?ows may at a certain scale of observation be described by basically the same type of hyperbolic s- tems of partial di?erential equations in divergence form, called conservation laws. Astrophysicists, engineers and mathematicians share a common interest in scienti?c progress on theory for these equations and the development of computational methods for solutions of the equations. Due to their wide applicability in modeling of continua, partial di?erential equationsareamajor?eldofresearchinmathematics. Asubstantialportionof mathematical research is related to the analysis and numerical approximation of solutions to such equations. Hyperbolic conservation laws in two or more spacedimensionsstillposeoneofthemainchallengestomodernmathematics.
650 0 _aComputer science
_xMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aNumerical analysis.
650 0 _aHydraulic engineering.
650 1 4 _aComputational Mathematics and Numerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M1400X
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aNumerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M14050
650 2 4 _aEngineering Fluid Dynamics.
_0http://scigraph.springernature.com/things/product-market-codes/T15044
650 2 4 _aClassical and Continuum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P2100X
650 2 4 _aAstrophysics and Astroparticles.
_0http://scigraph.springernature.com/things/product-market-codes/P22022
700 1 _aWarnecke, Gerald.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540807797
776 0 8 _iPrinted edition:
_z9783540248347
776 0 8 _iPrinted edition:
_z9783642424212
856 4 0 _uhttps://doi.org/10.1007/3-540-27907-5
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c424955
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