Refine your search

  • Books (35)

to

Custom price range (£)

to

Gosse Laurent (35 results)

Author: 
Refine with Advanced Search
  • Language: English

    Published by Springer, 2015

    3319247840 / 9783319247847

    Series: Book 62 of 155 - SpringerBriefs in Mathematics

    • Softcover

    Seller: GreatBookPrices, Columbia, MD, U.S.A.GreatBookPrices

    5-star seller
    Contact seller

    Condition: New

    £ 51.76

    £ 1.98 shipping 
    Ships within U.S.A.

    Quantity: Over 20 available

    Condition: New.

  • Language: English

    Published by Springer, 2015

    3319247840 / 9783319247847

    Series: Book 62 of 155 - SpringerBriefs in Mathematics

    • Softcover

    Seller: GreatBookPrices, Columbia, MD, U.S.A.GreatBookPrices

    5-star seller
    Contact seller

    Condition: Used - As new

    £ 53.30

    £ 1.98 shipping 
    Ships within U.S.A.

    Quantity: Over 20 available

    Condition: As New. Unread book in perfect condition.

  • Language: English

    Published by Springer, 2015

    3319247840 / 9783319247847

    Series: Book 62 of 155 - SpringerBriefs in Mathematics

    • Softcover

    Seller: GreatBookPricesUK, Woodford Green, United KingdomGreatBookPricesUK

    5-star seller
    Contact seller

    Condition: New

    £ 48.83

    £ 15.00 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: Over 20 available

    Condition: New.

  • Language: English

    Published by Springer, 2015

    3319247840 / 9783319247847

    Series: Book 62 of 155 - SpringerBriefs in Mathematics

    • Softcover

    Seller: GreatBookPricesUK, Woodford Green, United KingdomGreatBookPricesUK

    5-star seller
    Contact seller

    Condition: Used - As new

    £ 54.98

    £ 15.00 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: Over 20 available

    Condition: As New. Unread book in perfect condition.

  • Condition: Used

    £ 38.67

    £ 12.68 shipping 
    Ships from France to U.S.A.

    Quantity: 1 available

    Add to basket

    Ed. Marck Clevenot - 1988, grand in-4, reliure cartonnée toilée, 87 pages Très bon état mais 1 tampon - Pour les envois hors de France, la tafication «livre & brochure» pour les frais de port a disparue.Les frais de port annoncés correspondent à une moyenne. Ils seront calculés au plus juste en fonction du poids de votre article.…

  • Language: English

    Published by Springer Verlag, 2015

    3319247840 / 9783319247847

    Series: Book 62 of 155 - SpringerBriefs in Mathematics

    • Softcover

    Seller: Revaluation Books, Exeter, United KingdomRevaluation Books

    5-star seller
    Contact seller

    Condition: New

    £ 63.56

    £ 35.00 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: 2 available

    Paperback. Condition: Brand New. 128 pages. 9.25x6.00x0.50 inches. In Stock.

  • Language: English

    Published by Springer, 2013

    8847028914 / 9788847028913

    Series: Book 2 of 45 - SEMA SIMAI Springer

    • Hardcover

    Seller: GreatBookPrices, Columbia, MD, U.S.A.GreatBookPrices

    5-star seller
    Contact seller

    Condition: Used - As new

    £ 106.92

    £ 1.98 shipping 
    Ships within U.S.A.

    Quantity: 15 available

    Condition: As New. Unread book in perfect condition.

  • Language: English

    Published by Springer, 2013

    8847028914 / 9788847028913

    Series: Book 2 of 45 - SEMA SIMAI Springer

    • Hardcover

    Seller: GreatBookPrices, Columbia, MD, U.S.A.GreatBookPrices

    5-star seller
    Contact seller

    Condition: New

    £ 112.42

    £ 1.98 shipping 
    Ships within U.S.A.

    Quantity: 15 available

    Condition: New.

  • Language: English

    Published by Springer, 2017

    3319492616 / 9783319492612

    Series: Book 14 of 46 - Springer INdAM

    • Hardcover

    Seller: GreatBookPrices, Columbia, MD, U.S.A.GreatBookPrices

    5-star seller
    Contact seller

    Condition: Used - As new

    £ 116.13

    £ 1.98 shipping 
    Ships within U.S.A.

    Quantity: 15 available

    Condition: As New. Unread book in perfect condition.

  • Language: English

    Published by Springer, 2017

    3319492616 / 9783319492612

    Series: Book 14 of 46 - Springer INdAM

    • Hardcover

    Seller: GreatBookPrices, Columbia, MD, U.S.A.GreatBookPrices

    5-star seller
    Contact seller

    Condition: New

    £ 121.89

    £ 1.98 shipping 
    Ships within U.S.A.

    Quantity: 15 available

    Condition: New.

  • Language: English

    Published by Springer Milan, 2013

    8847028914 / 9788847028913

    Series: Book 2 of 45 - SEMA SIMAI Springer

    • Hardcover

    Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

    5-star seller
    Contact seller

    Condition: New

    £ 107.30

    £ 29.20 shipping 
    Ships from Germany to U.S.A.

    Quantity: 1 available

    Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 Schrödinger 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 or 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.…

  • Language: English

    Published by Springer, 2013

    8847028914 / 9788847028913

    Series: Book 2 of 45 - SEMA SIMAI Springer

    • Hardcover

    Seller: Books Puddle, Woodside, NY, U.S.A.Books Puddle

    4-star seller
    Contact seller

    Condition: New

    £ 140.78

    £ 2.99 shipping 
    Ships within U.S.A.

    Quantity: 4 available

    Condition: New. pp. xix + 340.

  • Language: English

    Published by Springer, 2017

    3319492616 / 9783319492612

    Series: Book 14 of 46 - Springer INdAM

    • Hardcover

    Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

    5-star seller
    Contact seller

    Condition: New

    £ 117.34

    £ 29.20 shipping 
    Ships from Germany to U.S.A.

    Quantity: 1 available

    Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016. The event brought together many prominent researchers in both Mathematical Analysis and Numerical Computing, the goal being to promote interdisciplinary collaborations. Accordingly, the following thematic areas were developed:1.Lagrangian discretizations and wavefront tracking for synchronization models;2.Astrophysics computations and post-Newtonian approximations;3.Hyperbolic balance laws and corrugated isometric embeddings;4.'Caseology' techniques for kinetic equations;5.Tentative computations of compressible non-standard solutions;6.Entropy dissipation, convergence rates and inverse design issues. Most of the articles are presented in a self-contained manner; some highlight new achievements, while others offer snapshots of the 'state of the art' in certain fields. The book offers a unique resource, both for young researchers looking to quickly enter a given area of application, and for more experienced ones seeking comprehensive overviews and extensive bibliographic references.…

  • Language: English

    Published by Springer Verlag, 2013

    8847028914 / 9788847028913

    Series: Book 2 of 45 - SEMA SIMAI Springer

    • Hardcover

    Seller: Revaluation Books, Exeter, United KingdomRevaluation Books

    5-star seller
    Contact seller

    Condition: New

    £ 131.31

    £ 12.50 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: 2 available

    Hardcover. Condition: Brand New. 2013 edition. 340 pages. 9.50x6.50x0.75 inches. In Stock.

  • Language: English

    Published by Springer, 2017

    3319492616 / 9783319492612

    Series: Book 14 of 46 - Springer INdAM

    • Hardcover

    Seller: Revaluation Books, Exeter, United KingdomRevaluation Books

    5-star seller
    Contact seller

    Condition: New

    £ 141.36

    £ 12.50 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: 2 available

    Hardcover. Condition: Brand New. 351 pages. 9.25x6.25x1.00 inches. In Stock.

  • Language: English

    Published by Springer Milan, 2013

    8847028914 / 9788847028913

    Series: Book 2 of 45 - SEMA SIMAI Springer

    • Hardcover

    Seller: Buchpark, Trebbin, GermanyBuchpark

    5-star seller
    Contact seller

    Condition: Used - Fine

    Original price: £ 88.41
    10% off

    Current price: £ 79.57

    £ 87.61 shipping 
    Ships from Germany to U.S.A.

    Quantity: 1 available

    Condition: Sehr gut. Zustand: Sehr gut | Seiten: 364 | Sprache: Englisch | Produktart: Bücher | 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 Schrödinger 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 or 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.…

  • Language: English

    Published by Springer, 2017

    3319492616 / 9783319492612

    Series: Book 14 of 46 - Springer INdAM

    • Hardcover

    Seller: Buchpark, Trebbin, GermanyBuchpark

    5-star seller
    Contact seller

    Condition: Used

    Original price: £ 97.51
    10% off

    Current price: £ 87.76

    £ 87.61 shipping 
    Ships from Germany to U.S.A.

    Quantity: 1 available

    Condition: Hervorragend. Zustand: Hervorragend | Seiten: 372 | Sprache: Englisch | Produktart: Bücher | This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016. The event brought together many prominent researchers in both Mathematical Analysis and Numerical Computing, the goal being to promote interdisciplinary collaborations. Accordingly, the following thematic areas were developed: 1. Lagrangian discretizations and wavefront tracking for synchronization models; 2. Astrophysics computations and post-Newtonian approximations; 3. Hyperbolic balance laws and corrugated isometric embeddings; 4. ¿Caseology¿ techniques for kinetic equations; 5. Tentative computations of compressible non-standard solutions; 6. Entropy dissipation, convergence rates and inverse design issues. Most of the articles are presented in a self-contained manner; some highlight new achievements, while others offer snapshots of the ¿state of the art¿ in certain fields. The book offers a unique resource, both for young researchers looking to quickly enter a given area of application, and for more experienced ones seeking comprehensive overviews and extensive bibliographic references.…

  • Condition: Used - Very good

    £ 153.83

    £ 33.33 shipping 
    Ships from Germany to U.S.A.

    Quantity: 1 available

    Condition: gut. 2013. Computing Qualitatively Correct Approximations of Balance Laws: Exponential-Fit, Well-Balanced and Asymptotic-Preserving (SEMA SIMAI Springer Series, 2, Band 2) In deutscher Sprache. pages.

  • Language: English

    Published by Springer, 2017

    3319492616 / 9783319492612

    Series: Book 14 of 46 - Springer INdAM

    • Hardcover

    Seller: Mispah books, Redhill, SURRE, United KingdomMispah books

    4-star seller
    Contact seller

    Condition: New

    £ 163.00

    £ 25.00 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: 1 available

    Hardcover. Condition: New. NEW. SHIPS FROM MULTIPLE LOCATIONS. book.

  • Language: English

    Published by Springer, 2017

    3319492616 / 9783319492612

    Series: Book 14 of 46 - Springer INdAM

    • Hardcover

    Seller: Books Puddle, Woodside, NY, U.S.A.Books Puddle

    4-star seller
    Contact seller

    Condition: New

    £ 252.99

    £ 2.99 shipping 
    Ships within U.S.A.

    Quantity: 4 available

    Condition: New. pp. 300.

  • More images

    Condition: Used - Fine

    £ 34.38

    £ 28.37 shipping 
    Ships from France to U.S.A.

    Quantity: 1 available

    Add to basket

    Couverture rigide. Condition: Très bon. grand in-4. 87 pages Nombreuses illustrations et bandes dessinées en couleurs.

  • Language: English

    Published by Springer International Publishing Nov 2015, 2015

    3319247840 / 9783319247847

    Series: Book 62 of 155 - SpringerBriefs in Mathematics

    • Softcover
    • Print on Demand

    Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

    5-star seller
    Contact seller

    Condition: New

    £ 45.96

    £ 19.19 shipping 
    Ships from Germany to U.S.A.

    Quantity: 2 available

    Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A. Bressan, T.-P. Liu and T. Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperbolic systems of balance laws. Rigorous error estimates are presented for both scalar balance laws and a position-dependent relaxation system, in inertial approximation. Such estimates shed light on why those algorithms based on source terms handled like 'local scatterers' can outperform other, more standard, numerical schemes. Two-dimensional Riemann problems for the linear wave equation are also solved, with discussion of the issues raised relating to the treatment of 2D balance laws. All of the material provided in this book is highly relevant for the understanding of well-balanced schemes and will contribute to future improvements. 128 pp. Englisch.…

  • Language: English

    Published by Springer International Publishing, 2015

    3319247840 / 9783319247847

    Series: Book 62 of 155 - SpringerBriefs in Mathematics

    • Softcover
    • Print on Demand

    Seller: moluna, Greven, Germanymoluna

    5-star seller
    Contact seller

    Condition: New

    £ 41.57

    £ 40.87 shipping 
    Ships from Germany to U.S.A.

    Quantity: Over 20 available

    Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Surveys both analytical and numerical aspects of 1D hyperbolic balance lawsPresents a strategy for proving the accuracy of well-balanced numerical schemes Compares several practical schemes, including wavefront tracking and 2D Riemann prob.…

  • Language: English

    Published by Palgrave Macmillan, 2015

    3319247840 / 9783319247847

    Series: Book 62 of 155 - SpringerBriefs in Mathematics

    • Softcover
    • Print on Demand

    Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

    5-star seller
    Contact seller

    Condition: New

    £ 57.06

    £ 29.20 shipping 
    Ships from Germany to U.S.A.

    Quantity: 1 available

    Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A. Bressan, T.-P. Liu and T. Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperbolic systems of balance laws. Rigorous error estimates are presented for both scalar balance laws and a position-dependent relaxation system, in inertial approximation. Such estimates shed light on why those algorithms based on source terms handled like 'local scatterers' can outperform other, more standard, numerical schemes. Two-dimensional Riemann problems for the linear wave equation are also solved, with discussion of the issues raised relating to the treatment of 2D balance laws. All of the material provided in this book is highly relevant for the understanding of well-balanced schemes and will contribute to future improvements.…

  • Language: English

    Published by Springer, 2017

    3319492616 / 9783319492612

    Series: Book 14 of 46 - Springer INdAM

    • Hardcover
    • Print on Demand

    Seller: Brook Bookstore On Demand, Napoli, NA, ItalyBrook Bookstore On Demand

    5-star seller
    Contact seller

    Condition: New

    £ 81.00

    £ 6.67 shipping 
    Ships from Italy to U.S.A.

    Quantity: Over 20 available

    Condition: new. Questo è un articolo print on demand.

  • Language: English

    Published by Springer Milan, Springer Milan Jan 2013, 2013

    8847028914 / 9788847028913

    Series: Book 2 of 45 - SEMA SIMAI Springer

    • Hardcover
    • Print on Demand

    Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

    5-star seller
    Contact seller

    Condition: New

    £ 91.95

    £ 19.19 shipping 
    Ships from Germany to U.S.A.

    Quantity: 2 available

    Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 Schrödinger 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 or 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. 364 pp. Englisch.…

  • Language: English

    Published by Springer International Publishing Mrz 2017, 2017

    3319492616 / 9783319492612

    Series: Book 14 of 46 - Springer INdAM

    • Hardcover
    • Print on Demand

    Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

    5-star seller
    Contact seller

    Condition: New

    £ 101.14

    £ 19.19 shipping 
    Ships from Germany to U.S.A.

    Quantity: 2 available

    Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016. The event brought together many prominent researchers in both Mathematical Analysis and Numerical Computing, the goal being to promote interdisciplinary collaborations. Accordingly, the following thematic areas were developed:1.Lagrangian discretizations and wavefront tracking for synchronization models;2.Astrophysics computations and post-Newtonian approximations;3.Hyperbolic balance laws and corrugated isometric embeddings;4.'Caseology' techniques for kinetic equations;5.Tentative computations of compressible non-standard solutions;6.Entropy dissipation, convergence rates and inverse design issues. Most of the articles are presented in a self-contained manner; some highlight new achievements, while others offer snapshots of the 'state of the art' in certain fields. The book offers a unique resource, both for young researchers looking to quickly enter a given area of application, and for more experienced ones seeking comprehensive overviews and extensive bibliographic references. 372 pp. Englisch.…

  • Language: English

    Published by Springer Milan, 2013

    8847028914 / 9788847028913

    Series: Book 2 of 45 - SEMA SIMAI Springer

    • Hardcover
    • Print on Demand

    Seller: moluna, Greven, Germanymoluna

    5-star seller
    Contact seller

    Condition: New

    £ 79.30

    £ 40.87 shipping 
    Ships from Germany to U.S.A.

    Quantity: Over 20 available

    Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Surveys both analytical and numerical aspects of hyperbolic balance laws (including the recent theory of viscosity solutions for systems) Numerous derivations of both well-balanced and asymptotic-preserving schemes emphasizing relations between ea.…

  • Language: English

    Published by Springer International Publishing, 2017

    3319492616 / 9783319492612

    Series: Book 14 of 46 - Springer INdAM

    • Hardcover
    • Print on Demand

    Seller: moluna, Greven, Germanymoluna

    5-star seller
    Contact seller

    Condition: New

    £ 86.83

    £ 40.87 shipping 
    Ships from Germany to U.S.A.

    Quantity: Over 20 available

    Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Offers a survey of post-Newtonian computations for black-hole spacetimes after gravitational wave observationAddresses numerical algorithms for hyperbolic systems and 2D drift-diffusion equations without dimensional splittingPresents application .…

  • Language: English

    Published by Springer, Springer Jan 2013, 2013

    8847028914 / 9788847028913

    Series: Book 2 of 45 - SEMA SIMAI Springer

    • Hardcover
    • Print on Demand

    Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germanybuchversandmimpf2000

    5-star seller
    Contact seller

    Condition: New

    £ 91.95

    £ 50.06 shipping 
    Ships from Germany to U.S.A.

    Quantity: 1 available

    Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 Schrödinger 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 or 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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 364 pp. Englisch.…