Computing qualitatively correct approximations of balance laws: exponential-fit, well-balanced and asymptotic-preserving
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Milan [u.a.]
Springer
2013
|
| Schriftenreihe: | SIMAI Springer Series
2 |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9788847028913 9788847028920 |
| DOI: | 10.1007/978-88-470-2892-0 |
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| 245 | 1 | 0 | |a Computing qualitatively correct approximations of balance laws |b exponential-fit, well-balanced and asymptotic-preserving |c Laurent Gosse |
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Datensatz im Suchindex
| _version_ | 1804150285477609472 |
|---|---|
| adam_text | COMPUTING QUALITATIVELY CORRECT APPROXIMATIONS OF BALANCE LAWS
/ GOSSE, LAURENT
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION AND CHRONOLOGICAL PERSPECTIVE
LIFTING A NON-RESONANT SCALAR BALANCE LAW
LYAPUNOV FUNCTIONAL FOR LINEAR ERROR ESTIMATES
EARLY WELL-BALANCED DERIVATIONS FOR VARIOUS SYSTEMS
VISCOSITY SOLUTIONS AND LARGE-TIME BEHAVIOR FOR NON-RESONANT BALANCE
LAWS
KINETIC SCHEME WITH REFLECTIONS AND LINEAR GEOMETRIC OPTICS
MATERIAL VARIABLES, STRINGS AND INFINITE DOMAINS
THE SPECIAL CASE OF 2-VELOCITY KINETIC MODELS
ELEMENTARY SOLUTIONS AND ANALYTICAL DISCRETE-ORDINATES FOR RADIATIVE
TRANSFER
AGGREGATION PHENOMENA WITH KINETIC MODELS OF CHEMOTAXIS DYNAMICS
TIME-STABILIZATION ON FLAT CURRENTS WITH NON-DEGENERATE
BOLTZMANN-POISSON MODELS
KLEIN-KRAMERS EQUATION AND BURGERS/FOKKER-PLANCK MODEL OF SPRAY
A MODEL FOR SCATTERING OF FORWARD-PEAKED BEAMS
LINEARIZED BGK MODEL OF HEAT TRANSFER
BALANCES IN TWO DIMENSIONS: KINETIC SEMICONDUCTOR EQUATIONS AGAIN
NON-CONSERVATIVE PRODUCTS AND LOCALLY LIPSCHITZIAN PATHS
A TINY STEP TOWARD HYPOCOERCIVITY ESTIMATES FOR WELL-BALANCED SCHEMES ON
2X2 MODELS
PRELIMINARY ANALYSIS OF THE ERRORS FOR VLASOV-BGK.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
COMPUTING QUALITATIVELY CORRECT APPROXIMATIONS OF BALANCE LAWS
/ GOSSE, LAURENT
: 2013
ABSTRACT / INHALTSTEXT
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 HYPERBOLIC SYSTEMS OF CONSERVATION LAWS, OR SIMPLY
INHOMOGENEOUS SCALAR BALANCE LAWS INVOLVING ACCRETIVE OR SPACE-DEPENDENT
SOURCE TERMS, BECAUSE OF COMPLEX WAVE INTERACTIONS. AN OVERALL WEAKER
DISSIPATION CAN REVEAL INTRINSIC NUMERICAL WEAKNESSES THROUGH SPECIFIC
NONLINEAR MECHANISMS: HUGONIOT CURVES BEING DEFORMED BY LOCAL AVERAGING
STEPS IN GODUNOV-TYPE SCHEMES, LOW-ORDER ERRORS PROPAGATING ALONG
EXPANDING CHARACTERISTICS AFTER HAVING HIT A DISCONTINUITY, EXPONENTIAL
AMPLIFICATION OF TRUNCATION ERRORS IN THE PRESENCE OF ACCRETIVE SOURCE
TERMS... THIS BOOK AIMS AT PRESENTING RIGOROUS DERIVATIONS OF DIFFERENT,
SOMETIMES CALLED WELL-BALANCED, NUMERICAL SCHEMES WHICH SUCCEED IN
RECONCILING HIGH ACCURACY WITH A STRONGER ROBUSTNESS EVEN IN THE
AFOREMENTIONED ACCRETIVE CONTEXTS. IT IS DIVIDED INTO TWO PARTS: ONE
DEALING WITH HYPERBOLIC SYSTEMS OF BALANCE LAWS, SUCH AS ARISING FROM
QUASI-ONE DIMENSIONAL NOZZLE FLOW COMPUTATIONS, MULTIPHASE WKB
APPROXIMATION OF LINEAR SCHROEDINGER EQUATIONS, OR GRAVITATIONAL
NAVIER-STOKES SYSTEMS. STABILITY RESULTS FOR VISCOSITY SOLUTIONS OF
ONEDIMENSIONAL BALANCE LAWS ARE SKETCHED. THE OTHER BEING ENTIRELY
DEVOTED TO THE TREATMENT OF WEAKLY NONLINEAR KINETIC EQUATIONS IN THE
DISCRETE ORDINATE APPROXIMATION, SUCH AS THE ONES OF RADIATIVE TRANSFER,
CHEMOTAXIS DYNAMICS, SEMICONDUCTOR CONDUCTION, SPRAY DYNAMICS OF
LINEARIZED BOLTZMANN MODELS. “CASEOLOGY” IS ONE OF THE MAIN
TECHNIQUES USED IN THESE DERIVATIONS. LAGRANGIAN TECHNIQUES FOR
FILTRATION EQUATIONS ARE EVOKED TOO. TWO-DIMENSIONAL METHODS ARE STUDIED
IN THE CONTEXT OF NON-DEGENERATE SEMICONDUCTOR MODELS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Gosse, Laurent |
| author_GND | (DE-588)1034267094 |
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| dewey-full | 620 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620 |
| dewey-search | 620 |
| dewey-sort | 3620 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Mathematik |
| doi_str_mv | 10.1007/978-88-470-2892-0 |
| format | Electronic eBook |
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| spelling | Gosse, Laurent Verfasser (DE-588)1034267094 aut Computing qualitatively correct approximations of balance laws exponential-fit, well-balanced and asymptotic-preserving Laurent Gosse Milan [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier SIMAI Springer Series 2 SIMAI Springer Series 2 (DE-604)BV040972060 2 https://doi.org/10.1007/978-88-470-2892-0 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025949153&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025949153&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Gosse, Laurent Computing qualitatively correct approximations of balance laws exponential-fit, well-balanced and asymptotic-preserving SIMAI Springer Series |
| title | Computing qualitatively correct approximations of balance laws exponential-fit, well-balanced and asymptotic-preserving |
| title_auth | Computing qualitatively correct approximations of balance laws exponential-fit, well-balanced and asymptotic-preserving |
| title_exact_search | Computing qualitatively correct approximations of balance laws exponential-fit, well-balanced and asymptotic-preserving |
| title_full | Computing qualitatively correct approximations of balance laws exponential-fit, well-balanced and asymptotic-preserving Laurent Gosse |
| title_fullStr | Computing qualitatively correct approximations of balance laws exponential-fit, well-balanced and asymptotic-preserving Laurent Gosse |
| title_full_unstemmed | Computing qualitatively correct approximations of balance laws exponential-fit, well-balanced and asymptotic-preserving Laurent Gosse |
| title_short | Computing qualitatively correct approximations of balance laws |
| title_sort | computing qualitatively correct approximations of balance laws exponential fit well balanced and asymptotic preserving |
| title_sub | exponential-fit, well-balanced and asymptotic-preserving |
| url | https://doi.org/10.1007/978-88-470-2892-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025949153&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025949153&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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