dumbser-short.bib

@article{Zanotti2015d,
  author =        {Zanotti, O. and Fambri, F. and Dumbser, M.},
  journal =       {Mon. Not. R. Astron. Soc.},
  pages =         {3010-3029},
  title =         {Solving the relativistic magnetohydrodynamics
                   equations with {ADER} discontinuous {G}alerkin
                   methods, a posteriori subcell limiting and adaptive
                   mesh refinement},
  volume =        {452},
  year =          {{2015}},
}

@article{ADERDGVisc,
  author =        {Fambri, F. and Dumbser, M. and Zanotti, O.},
  journal =       {Computer Physics Communications},
  note =          {},
  number =        {},
  pages =         {297-318},
  title =         {Space-time adaptive {ADER}-{DG} schemes for
                   dissipative flows: {C}ompressible {N}avier-{S}tokes
                   and resistive {MHD} equations},
  volume =        {220},
  year =          {2017},
  doi =           {http://dx.doi.org/10.1016/j.cpc.2017.08.001},
  issn =          {0010-4655},
  url =           {http://www.sciencedirect.com/science/article/pii/
                  S0010465517302448},
}

@article{Khokhlov98,
  author =        {A.M Khokhlov},
  journal =       {Journal of Computational Physics},
  number =        {2},
  pages =         {519 - 543},
  title =         {Fully Threaded Tree Algorithms for Adaptive
                   Refinement Fluid Dynamics Simulations},
  volume =        {143},
  year =          {1998},
}

@book{stroud,
  address =       {Englewood Cliffs, New Jersey},
  author =        {{A.H.} Stroud},
  publisher =     {Prentice-Hall Inc.},
  title =         {Approximate Calculation of Multiple Integrals},
  year =          {1971},
}

@book{toro-book,
  author =        {E.F. Toro},
  edition =       {third},
  publisher =     {Springer},
  title =         {{{R}iemann} Solvers and Numerical Methods for Fluid
                   Dynamics},
  year =          {2009},
}

@article{ADERNC,
  author =        {M. Dumbser and M. Castro and C. {Par\'es} and
                   E.F. Toro},
  journal =       {Computers and Fluids},
  pages =         {1731--1748},
  title =         {{ADER} Schemes on Unstructured Meshes for
                   Non-Conservative Hyperbolic Systems: Applications to
                   Geophysical Flows},
  volume =        {38},
  year =          {2009},
}

@article{OsherNC,
  author =        {M. Dumbser and E. F. Toro},
  journal =       {Journal of Scientific Computing},
  pages =         {70--88},
  title =         {A Simple Extension of the {Osher} {{R}iemann} Solver
                   to Non-Conservative Hyperbolic Systems},
  volume =        {48},
  year =          {2011},
}

@article{NCP_HLLEM,
  author =        {Dumbser, M. and Balsara, D. S.},
  journal =       {Journal of Computational Physics},
  pages =         {275--319},
  title =         {A new efficient formulation of the {HLLEM} Riemann
                   solver for general conservative and non-conservative
                   hyperbolic systems},
  volume =        {304},
  year =          {2016},
  issn =          {0021-9991},
}

@article{HLLEM,
  author =        {Einfeldt, B. and Munz, C. D. and Roe, P. L. and
                   Sj\"{o}green, B.},
  journal =       {J. Comput. Phys.},
  number =        {2},
  pages =         {273--295},
  title =         {On Godunov-type Methods Near Low Densities},
  volume =        {92},
  year =          {1991},
  issn =          {0021-9991},
}

@book{dissdumbser,
  author =        {M. Dumbser},
  publisher =     {Shaker Verlag, Aachen},
  title =         {Arbitrary High Order Schemes for the Solution of
                   Hyperbolic Conservation Laws in Complex Domains},
  year =          {2005},
}

@article{QiuDumbserShu,
  author =        {J. Qiu and M. Dumbser and {C.W.} Shu},
  journal =       {Computer Methods in Applied Mechanics and
                   Engineering},
  pages =         {4528--4543},
  title =         {The Discontinuous {{G}alerkin} Method with
                   {Lax}-{Wendroff} Type Time Discretizations},
  volume =        {194},
  year =          {2005},
}

@article{ADERPrim,
  author =        {Zanotti, O. and Dumbser, M.},
  journal =       {Computational Astrophysics and Cosmology},
  number =        {1},
  pages =         {1},
  title =         {Efficient conservative ADER schemes based on WENO
                   reconstruction and space-time predictor in primitive
                   variables},
  volume =        {3},
  year =          {2016},
  url =           {https://arxiv.org/abs/1707.09910},
}

@article{OwrenZennaro,
  author =        {B. Owren and M. Zennaro},
  journal =       {SIAM J. Sci. Stat. Comput.},
  pages =         {1488--1501},
  title =         {{Derivation of efficient continuous explicit}},
  volume =        {13},
  year =          {1992},
}

@article{Gassner2011a,
  author =        {G. Gassner and M. Dumbser and F. Hindenlang and
                   C.D. Munz},
  journal =       {Journal of Computational Physics},
  number =        {11},
  pages =         {4232--4247},
  publisher =     {Elsevier Inc.},
  title =         {{Explicit one-step time discretizations for
                   discontinuous {G}alerkin and finite volume schemes
                   based on local predictors}},
  volume =        {230},
  year =          {2011},
  issn =          {00219991},
}

@article{AMR3DCL,
  author =        {M. Dumbser and O. Zanotti and A. Hidalgo and
                   D.S. Balsara},
  journal =       {Journal of Computational Physics},
  pages =         {257--286},
  title =         {{ADER-{WENO} Finite Volume Schemes with Space-Time
                   Adaptive Mesh Refinement}},
  volume =        {248},
  year =          {2013},
}

@article{AMR3DNC,
  author =        {M. Dumbser and A. Hidalgo and O. Zanotti},
  journal =       {Computer Methods in Applied Mechanics and
                   Engineering},
  pages =         {359--387},
  title =         {{High Order Space-Time Adaptive ADER-{WENO} Finite
                   Volume Schemes for Non-Conservative Hyperbolic
                   Systems}},
  volume =        {268},
  year =          {2014},
}

@inproceedings{dumbser_diffapprox,
  author =        {M. Dumbser and T. Schwartzkopff and {C.D.} Munz},
  booktitle =     {Computational Science and High Performance Computing
                   II},
  pages =         {129--144},
  publisher =     {Springer},
  series =        {Notes on Numerical Fluid Mechanics and
                   Multidisciplinary Design (NNFM)},
  title =         {Arbitrary High Order Finite Volume Schemes for Linear
                   Wave Propagation},
  year =          {2006},
}

@article{ADER_MOOD_14,
  author =        {R. Loub{\`e}re and M. Dumbser and S. Diot},
  journal =       {Communication in Computational Physics},
  pages =         {718--763},
  title =         {A New Family of High Order Unstructured MOOD and ADER
                   Finite Volume Schemes for Multidimensional Systems of
                   Hyperbolic Conservation Laws},
  volume =        {16},
  year =          {2014},
}

@article{BalsaraKim,
  author =        {D.S. Balsara and J. Kim},
  journal =       {Journal of Computational Physics},
  pages =         {357--384},
  title =         {{A subluminal relativistic magnetohydrodynamics
                   scheme with ADER--WENO predictor and multidimensional
                   Riemann solver--based corrector}},
  volume =        {312},
  year =          {2016},
}

@article{Peano1,
  author =        {H.J. Bungartz and M. Mehl and T. Neckel and
                   T. Weinzierl},
  journal =       {Computational Mechanics},
  pages =         {103--114},
  title =         {{The PDE framework Peano applied to fluid dynamics:
                   An efficient implementation of a parallel multiscale
                   fluid dynamics solver on octree-like adaptive
                   Cartesian grids}},
  volume =        {46},
  year =          {2010},
}

@article{Peano2,
  author =        {T. Weinzierl and M. Mehl},
  journal =       {SIAM Journal on Scientific Computing},
  pages =         {2732--2760},
  title =         {{Peano-A traversal and storage scheme for octree-like
                   adaptive cartesian multiscale grids}},
  volume =        {33},
  year =          {2011},
}

@article{Berger-Oliger1984,
  author =        {{Berger}, M.~J. and {Oliger}, J.},
  journal =       {Journal of Computational Physics},
  pages =         {484},
  title =         {{Adaptive Mesh Refinement for Hyperbolic Partial
                   Differential Equations}},
  volume =        {53},
  year =          {1984},
}

@article{Berger-Colella1989,
  author =        {{Berger}, M.~J. and {Colella}, P.},
  journal =       {Journal of Computational Physics},
  pages =         {64-84},
  title =         {{Local adaptive mesh refinement for shock
                   hydrodynamics}},
  volume =        {82},
  year =          {1989},
}

@article{Loehner1987,
  author =        {Rainald L{\"o}hner},
  journal =       {Computer Methods in Applied Mechanics and
                   Engineering},
  note =          {},
  number =        {3},
  pages =         {323 - 338},
  title =         {An adaptive finite element scheme for transient
                   problems in {CFD}},
  volume =        {61},
  year =          {1987},
  issn =          {0045-7825},
}

@article{PS:entropy,
  author =        {Puppo, G. and Semplice, M.},
  journal =       {Commun. Comput. Phys.},
  number =        {5},
  pages =         {1132--1160},
  title =         {Numerical entropy and adaptivity for finite volume
                   schemes},
  volume =        {10},
  year =          {2011},
  issn =          {1815-2406},
}

@article{SCR:CWENOquadtree,
  author =        {Semplice, M. and Coco, A. and Russo, G.},
  journal =       {Journal of Scientific Computing},
  number =        {2},
  pages =         {692--724},
  title =         {Adaptive Mesh Refinement for Hyperbolic Systems Based
                   on Third-Order Compact WENO Reconstruction},
  volume =        {66},
  year =          {2016},
  issn =          {1573-7691},
}

@article{CS:epsweno,
  author =        {Cravero, I. and Semplice, M.},
  journal =       {Journal of Scientific Computing},
  number =        {3},
  pages =         {1219--1246},
  title =         {On the Accuracy of WENO and CWENO Reconstructions of
                   Third Order on Nonuniform Meshes},
  volume =        {67},
  year =          {2016},
  issn =          {1573-7691},
}

@article{ADERNSE,
  author =        {M. Dumbser},
  journal =       {Computers \& Fluids},
  pages =         {60--76},
  title =         {Arbitrary High Order {PNPM} Schemes on Unstructured
                   Meshes for the Compressible {Navier--Stokes}
                   Equations},
  volume =        {39},
  year =          {2010},
}

@article{CockburnShu98,
  author =        {Cockburn, B. and Shu, C.W.},
  journal =       {Journal of Computational Physics},
  number =        {2},
  pages =         {199--224},
  publisher =     {Elsevier},
  title =         {The {{R}unge--{K}utta} discontinuous {{G}alerkin}
                   method for conservation laws {V}: multidimensional
                   systems},
  volume =        {141},
  year =          {1998},
}

@article{Fehlberg,
  author =        {E. Fehlberg},
  journal =       {Computing},
  number =        {2},
  pages =         {93--106},
  title =         {{Klassische Runge--Kutta--Formeln f\"unfter und
                   siebenter Ordnung mit Schrittweiten--Kontrolle}},
  volume =        {4},
  year =          {1969},
}