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Author ID: rohde.christian Recent zbMATH articles by "Rohde, Christian"
Published as: Rohde, Christian; Rohde, C.; Rohde, Ch.
Homepage: http://www.ians.uni-stuttgart.de/am/mitarbeiter/rohde/
External Links: MGP · ResearchGate
all top 5

Co-Authors

9 single-authored
11 Dedner, Andreas S.
9 Wesenberg, Matthias
8 Kröner, Dietmar
7 Kröker, Ilja
7 LeFloch, Philippe Gerard
7 Magiera, Jim
7 Meyer, Fabian
6 Giesselmann, Jan
6 Munz, Claus-Dieter
5 Burbulla, Samuel
5 Ohlberger, Mario
5 Tang, Hao
5 Zeiler, Christoph
4 Armiti-Juber, Alaa
4 Chalons, Christophe
4 Engel, Patrick
4 Freistühler, Heinrich
4 Kissling, Frederike
4 Ostrowski, Lukas
3 Beck, Andrea D.
3 Colombo, Rinaldo M.
3 Coquel, Frédéric
3 Diehl, Dennis
3 Gander, Martin Jakob
3 Keim, Jens
3 Köppel, Markus
3 Mel’nyk, Taras A.
3 Merkle, Christian
3 Radu, Florin Adrian
3 Seus, David
3 Xie, Feng
3 Yong, Wen-An
2 Bürger, Raimund
2 Corli, Andrea
2 Dressel, Alexander
2 Dürrwächter, Jakob
2 Fechter, Stefan
2 Fuhrmann, Jürgen
2 Haasdonk, Bernard
2 Haink, Jenny
2 Helmig, Rainer
2 Hörl, Maximilian
2 Jovanović, Vladimir
2 Kabil, Buğra
2 Kutter, Michael
2 Nowak, Wolfgang
2 Pop, Iuliu Sorin
2 Sändig, Anna-Margarete
2 Schleper, Veronika
2 von Wolff, Lars
2 Wiebe, Maria
1 Alkämper, Maria
1 Alonso-Orán, Diego
1 Barth, Andrea
1 Betancourt, Fernando
1 Chiocchetti, Simone
1 Dreyer, Wolfgang
1 Dumbser, Michael
1 Eck, Christof
1 Ehlers, Wolfgang
1 Formaggia, Luca
1 Franzelin, Fabian
1 Fries, Christian P.
1 Gassner, Gregor J.
1 Gutnic, Michaël
1 Helluy, Philippe
1 Hesthaven, Jan S.
1 Hillen, Thomas
1 Hitz, Timon
1 Jaegle, Felix
1 Kraus, Christiane
1 Kremser, Jenny
1 Küther, Marc
1 Lagoutière, Frédéric
1 Lunowa, Stephan Benjamin
1 Lutscher, Frithjof
1 Mai Duc Thanh
1 Mercier, Jean-Marc
1 Miao, Yingting
1 Mitra, Koondanibha
1 Neusser, Jochen
1 Oladyshkin, Sergey
1 Pflüger, Dirk
1 Ray, Deep
1 Redeker, Magnus
1 Roller, Sabine
1 Rybak, Iryna V.
1 Santin, Gabriele
1 Schnitzer, T.
1 Schupp, Bernhard
1 Schwarz, Anna
1 Scotti, Anna
1 Seguin, Nicolas
1 Sekhar, G. P. Raja
1 Sharanya, V.
1 Tiemann, N.
1 Trivisa, Konstantina
1 Viorel, Adrian
1 Wang, Wenjun
1 Wittwar, Dominik
...and 1 more Co-Authors
all top 5

Serials

7 Journal of Computational Physics
5 Journal of Mathematical Analysis and Applications
5 SIAM Journal on Scientific Computing
5 Computational Geosciences
4 SIAM Journal on Numerical Analysis
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Mathematical Methods in the Applied Sciences
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Applied Mathematics and Computation
3 Journal of Differential Equations
3 Numerische Mathematik
3 Applied Numerical Mathematics
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Oberwolfach Reports
2 Computers and Fluids
2 Computer Methods in Applied Mechanics and Engineering
2 IMA Journal of Numerical Analysis
2 Indiana University Mathematics Journal
2 Numerical Methods for Partial Differential Equations
2 SIAM Journal on Mathematical Analysis
2 NoDEA. Nonlinear Differential Equations and Applications
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 Interfaces and Free Boundaries
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Springer Proceedings in Mathematics & Statistics
1 IMA Journal of Applied Mathematics
1 International Journal for Numerical Methods in Fluids
1 Mathematics of Computation
1 BIT
1 Calcolo
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Physica D
1 Applications of Mathematics
1 Journal of Dynamics and Differential Equations
1 Journal of Nonlinear Science
1 Continuum Mechanics and Thermodynamics
1 Computing and Visualization in Science
1 Journal of Mathematical Fluid Mechanics
1 Portugaliae Mathematica. Nova Série
1 Communications on Pure and Applied Analysis
1 Multiscale Modeling & Simulation
1 Journal of Hyperbolic Differential Equations
1 Lecture Notes in Computational Science and Engineering
1 Communications in Computational Physics
1 Networks and Heterogeneous Media
1 PAMM. Proceedings in Applied Mathematics and Mechanics

Publications by Year

Citations contained in zbMATH Open

102 Publications have been cited 837 times in 558 Documents Cited by Year
Fully discrete, entropy conservative schemes of arbitrary order. Zbl 1033.65073
LeFloch, P. G.; Mercier, J. M.; Rohde, C.
91
2002
High-order schemes, entropy inequalities, and nonclassical shocks. Zbl 0959.35117
LeFloch, Philippe G.; Rohde, Christian
32
2000
On local and nonlocal Navier-Stokes-Korteweg systems for liquid-vapour phase transitions. Zbl 1099.76072
Rohde, Christian
29
2005
Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems. Zbl 1392.76090
Rybak, Iryna; Magiera, Jim; Helmig, Rainer; Rohde, Christian
26
2015
The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques. Zbl 1134.35074
Merkle, Christian; Rohde, Christian
24
2007
A linear domain decomposition method for partially saturated flow in porous media. Zbl 1440.76149
Seus, David; Mitra, Koondanibha; Pop, Iuliu Sorin; Radu, Florin Adrian; Rohde, Christian
24
2018
Overlapping Schwarz waveform relaxation for convection-dominated nonlinear conservation laws. Zbl 1105.65098
Gander, Martin J.; Rohde, Christian
23
2005
The nonrelativistic limit in radiation hydrodynamics. I: Weak entropy solutions for a model problem. Zbl 1108.76086
Rohde, Christian; Yong, Wenan
22
2007
Constraint-aware neural networks for Riemann problems. Zbl 1435.76046
Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian
22
2020
A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension. Zbl 1375.76194
Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph
21
2017
Finite volume schemes for hyperbolic balance laws with multiplicative noise. Zbl 1241.65013
Kröker, Ilja; Rohde, Christian
20
2012
Existence of weak solutions for a hyperbolic model of chemosensitive movement. Zbl 0984.35043
Hillen, Thomas; Rohde, Christian; Lutscher, Frithjof
17
2001
Error estimates for finite volume approximations of classical solutions for nonlinear systems of hyperbolic balance laws. Zbl 1111.65081
Jovanovic, Vladimir; Rohde, Christian
17
2006
Sharp and diffuse interface methods for phase transition problems in liquid-vapour flows. Zbl 1210.80016
Coquel, F.; Rohde, C.; Merkle, C.; Diehl, D.
16
2005
A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension. Zbl 1320.76095
Rohde, Christian; Zeiler, Christoph
15
2015
Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario. Zbl 1414.76058
Köppel, Markus; Franzelin, Fabian; Kröker, Ilja; Oladyshkin, Sergey; Santin, Gabriele; Wittwar, Dominik; Barth, Andrea; Haasdonk, Bernard; Nowak, Wolfgang; Pflüger, Dirk; Rohde, Christian
15
2019
Hyperbolic-hyperbolic relaxation limit for a 1D compressible radiation hydrodynamics model: superposition of rarefaction and contact waves. Zbl 1282.35314
Rohde, Christian; Wang, Wenjun; Xie, Feng
15
2013
Upscaling of a tri-phase phase-field model for precipitation in porous media. Zbl 1406.35297
Redeker, Magnus; Rohde, Christian; Sorin Pop, Iuliu
15
2016
A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit. Zbl 1301.65126
Bürger, Raimund; Kröker, Ilja; Rohde, Christian
14
2014
Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension. Zbl 1410.76171
Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph
14
2018
The computation of nonclassical shock waves with a heterogeneous multiscale method. Zbl 1270.35312
Kissling, Frederike; Rohde, Christian
13
2010
Fast relaxation solvers for hyperbolic-elliptic phase transition problems. Zbl 1387.80009
Chalons, Ch.; Coquel, F.; Engel, P.; Rohde, Ch.
12
2012
A local and low-order Navier-Stokes-Korteweg system. Zbl 1453.35139
Rohde, Christian
12
2010
Asymptotic analysis for Korteweg models. Zbl 1241.76375
Dreyer, Wolfgang; Giesselmann, Jan; Kraus, Christiane; Rohde, Christian
12
2012
Numerical solution of Navier-Stokes-Korteweg systems by local discontinuous Galerkin methods in multiple space dimensions. Zbl 1410.76166
Diehl, Dennis; Kremser, Jenny; Kröner, Dietmar; Rohde, Christian
12
2016
Finite-volume schemes for Friedrichs systems in multiple space dimensions: a priori and a posteriori error estimates. Zbl 1068.65113
Jovanović, Vladimir; Rohde, Christian
11
2005
A finite volume method for undercompressive shock waves in two space dimensions. Zbl 1397.76086
Chalons, Christophe; Rohde, Christian; Wiebe, Maria
11
2017
Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems. Zbl 1007.65059
Ohlberger, Mario; Rohde, Christian
11
2002
Decay rates to viscous contact waves for a 1D compressible radiation hydrodynamics model. Zbl 1270.35112
Rohde, Christian; Xie, Feng
11
2013
Relaxation of the Navier-Stokes-Korteweg equations for compressible two-phase flow with phase transition. Zbl 1455.65176
Neusser, J.; Rohde, C.; Schleper, V.
11
2015
On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena. Zbl 1456.60161
Rohde, Christian; Tang, Hao
10
2021
Local discontinuous-Galerkin schemes for model problems in phase transition theory. Zbl 1364.76087
Haink, Jenny; Rohde, Christian
9
2008
On a stochastic Camassa-Holm type equation with higher order nonlinearities. Zbl 1477.60101
Rohde, Christian; Tang, Hao
9
2021
Scalar conservation laws with mixed local and nonlocal diffusion-dispersion terms. Zbl 1098.35103
Rohde, Christian
8
2005
Numerical approximation of entropy solutions for hyperbolic integro-differential equations. Zbl 1060.65135
Dedner, Andreas; Rohde, Christian
8
2004
Parabolic approximations of diffusive-dispersive equations. Zbl 1311.35153
Corli, Andrea; Rohde, Christian; Schleper, Veronika
8
2014
A local-in-time theory for singular SDEs with applications to fluid models with transport noise. Zbl 1477.60105
Alonso-Orán, Diego; Rohde, Christian; Tang, Hao
8
2021
FV-schemes for a scalar model problem of radiation magnetohydrodynamics. Zbl 1177.76221
Dedner, Andreas; Rohde, Christian
7
2002
A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems. Zbl 1396.65126
Kröker, Ilja; Nowak, Wolfgang; Rohde, Christian
7
2015
A parallel, load-balanced MHD code on locally-adapted, unstructured grids in 3d. Zbl 1120.76338
Dedner, Andreas; Rohde, Christian; Schupp, Bernhard; Wesenberg, Matthias
6
2004
A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. Zbl 1464.65124
Meyer, Fabian; Rohde, Christian; Giesselmann, Jan
6
2020
A conservative and convergent scheme for undercompressive shock waves. Zbl 1378.76057
Chalons, Ch.; Engel, P.; Rohde, Ch.
6
2014
Fully resolved compressible two-phase flow: modelling, analytical and numerical issues. Zbl 1418.35313
Rohde, Christian
6
2018
Entropy solutions for weakly coupled hyperbolic systems in several space dimensions. Zbl 0906.35058
Rohde, Christian
5
1998
Singular limits for a parabolic-elliptic regularization of scalar conservation laws. Zbl 1259.35138
Corli, Andrea; Rohde, Christian
5
2012
Stochastic modeling for heterogeneous two-phase flow. Zbl 1304.76039
Köppel, Markus; Kröker, Ilja; Rohde, Christian
5
2014
A multiscale method for compressible liquid-vapor flow with surface tension. Zbl 1329.76175
Jaegle, Felix; Rohde, Christian; Zeiler, Christoph
5
2012
Zero diffusion-dispersion limits for self-similar Riemann solutions to hyperbolic systems of conservation laws. Zbl 1082.35106
LeFloch, Philippe G.; Rohde, Christian
5
2001
A linear domain decomposition method for two-phase flow in porous media. Zbl 1425.76192
Seus, David; Radu, Florin A.; Rohde, Christian
5
2018
A parabolic relaxation model for the Navier-Stokes-Korteweg equations. Zbl 07508350
Hitz, Timon; Keim, Jens; Munz, Claus-Dieter; Rohde, Christian
5
2020
Convergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids. Zbl 1001.65102
Haasdonk, Bernard; Kröner, Dietmar; Rohde, Christian
4
2001
On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation. Zbl 1099.35060
Rohde, C.; Zajączkowski, W. M.
4
2003
Dissipative entropy and global smooth solutions in radiation hydrodynamics and magnetohydrodynamics. Zbl 1157.76057
Rohde, Christian; Yong, Wenan
4
2008
A finite-volume approach to liquid-vapour fluids with phase transition. Zbl 1374.76133
Dressel, Alexander; Rohde, Christian
4
2008
Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media. Zbl 1396.76058
Köppel, Markus; Kröker, Ilja; Rohde, Christian
4
2017
Existence, bifurcation, and stability of profiles for classical and non-classical shock waves. Zbl 1002.35087
Freistühler, Heinrich; Fries, Christian; Rohde, Christian
4
2001
A finite-volume moving-mesh method for two-phase flow in dynamically fracturing porous media. Zbl 07527707
Burbulla, Samuel; Rohde, Christian
4
2022
Compressible multicomponent flow in porous media with Maxwell-Stefan diffusion. Zbl 1454.35296
Ostrowski, Lukas; Rohde, Christian
4
2020
A low-order approximation for viscous-capillary phase transition dynamics. Zbl 1302.35249
Engel, Patrick; Viorel, Adrian; Rohde, Christian
4
2013
On Riemann solvers and kinetic relations for isothermal two-phase flows with surface tension. Zbl 1410.35105
Rohde, Christian; Zeiler, Christoph
4
2018
Global existence and blowup phenomenon for a 1D radiation hydrodynamics model problem. Zbl 1237.35112
Rohde, Christian; Xie, Feng
3
2012
Weakly coupled systems of hyperbolic conservation laws. Zbl 0883.35075
Rohde, Christian
3
1996
Upwind finite volume schemes for weakly coupled hyperbolic systems of conservation laws in 2D. Zbl 0918.35086
Rohde, Christian
3
1998
A kinetic decomposition for singular limits of non-local conservation laws. Zbl 1180.35349
Kissling, Frederike; LeFloch, Philippe G.; Rohde, Christian
3
2009
Computation of dynamical phase transitions in solids. Zbl 1116.74049
Merkle, C.; Rohde, C.
3
2006
A new approach to divergence cleaning in magnetohydrodynamic simulations. Zbl 1061.76036
Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias
3
2003
Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy. Zbl 1067.35131
Rohde, Christian
3
2005
A MHD-simulation in solar physics. Zbl 1052.65542
Dedner, A.; Rohde, C.; Wesenberg, M.
3
1999
The computation of nonclassical shock waves in porous media with a heterogeneous multiscale method: the multidimensional case. Zbl 1331.35232
Kissling, Frederike; Rohde, Christian
3
2015
A ternary Cahn-Hilliard-Navier-Stokes model for two-phase flow with precipitation and dissolution. Zbl 1491.35346
Rohde, Christian; von Wolff, Lars
3
2021
A high-order stochastic Galerkin code for the compressible Euler and Navier-Stokes equations. Zbl 1521.76329
Dürrwächter, Jakob; Meyer, Fabian; Kuhn, Thomas; Beck, Andrea; Munz, Claus-Dieter; Rohde, Christian
3
2021
\(hp\)-multilevel Monte Carlo methods for uncertainty quantification of compressible Navier-Stokes equations. Zbl 1486.65002
Beck, Andrea; Dürrwächter, Jakob; Kuhn, Thomas; Meyer, Fabian; Munz, Claus-Dieter; Rohde, Christian
3
2020
Homogenization of nonlocal Navier-Stokes-Korteweg equations for compressible liquid-vapor flow in porous media. Zbl 1454.76098
Rohde, Christian; von Wolff, Lars
3
2020
A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws. Zbl 1446.65111
Giesselmann, Jan; Meyer, Fabian; Rohde, Christian
3
2020
Almost parallel flows in porous media. Zbl 1426.76330
Armiti-Juber, Alaa; Rohde, Christian
2
2014
The bifurcation analysis of the MHD Rankine-Hugoniot equations for a perfect gas. Zbl 1051.76025
Freistühler, Heinrich; Rohde, Christian
2
2003
A particle-based multiscale solver for compressible liquid-vapor flow. Zbl 1407.76123
Magiera, Jim; Rohde, Christian
2
2018
Finite-volume schemes for Friedrichs systems with involutions. Zbl 1410.78029
Betancourt, Fernando; Rohde, Christian
2
2016
On Darcy- and Brinkman-type models for two-phase flow in asymptotically flat domains. Zbl 1414.76051
Armiti-Juber, Alaa; Rohde, Christian
2
2019
Existence of weak solutions for a nonlocal pseudo-parabolic model for Brinkman two-phase flow in asymptotically flat porous media. Zbl 1428.35343
Armiti-Juber, Alaa; Rohde, Christian
2
2019
Global existence and uniqueness of solutions for a viscoelastic two-phase model. Zbl 1157.35016
Dressel, Alexander; Rohde, Christian
1
2008
An introduction to recent developments in theory and numerics for conservation laws. Proceedings of the international school, Freiburg/ Littenweiler, Germany, October 20–24, 1997. Zbl 0904.00045
1
1999
Numerical methods for viscous profiles of non-classical shock waves. Zbl 0936.76063
Freistühler, Heinrich; Rohde, Christian
1
1999
Godunov-type schemes for the MHD equations. Zbl 1064.76560
Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M.
1
2001
Numerical computation of viscous profiles for hyperbolic conservation laws. Zbl 1008.65094
Freistühler, Heinrich; Rohde, Christian
1
2002
Radiation magnetohydrodynamics: analysis for model problems and efficient 3D simulations for the full system. Zbl 1088.76075
Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M.
1
2005
Efficient higher-order finite volume schemes for (real gas) magnetohydrodynamics. Zbl 1059.76518
Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias
1
2003
Uncertainty quantification for a clarifier-thickener model with random feed. Zbl 1246.76069
Bürger, Raimund; Kröker, Ilja; Rohde, Christian
1
2011
Persistence of undercompressive phase boundaries for isothermal Euler equations including configurational forces and surface tension. Zbl 1352.35102
Kabil, Bugra; Rohde, Christian
1
2016
Efficient divergence cleaning in three-dimensional MHD simulations. Zbl 1143.76498
Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M.
1
2003
An artificial equation of state based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier-Stokes equations. Zbl 07516795
Massa, F.; Ostrowski, L.; Bassi, F.; Rohde, C.
1
2022
Flow in porous media with fractures of varying aperture. Zbl 1518.76051
Burbulla, Samuel; Hörl, Maximilian; Rohde, Christian
1
2023
A fully conforming finite volume approach to two-phase flow in fractured porous media. Zbl 1454.65137
Burbulla, Samuel; Rohde, Christian
1
2020
The influence of surface tension and configurational forces on the stability of liquid-vapor interfaces. Zbl 1453.76213
Kabil, B.; Rohde, C.
1
2014
Publisher correction to: “On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena”. Zbl 1462.60090
Rohde, Christian; Tang, Hao
1
2021
Modeling fracture propagation in poro-elastic media combining phase-field and discrete fracture models. Zbl 07644166
Burbulla, Samuel; Formaggia, Luca; Rohde, Christian; Scotti, Anna
1
2023
A molecular-continuum multiscale model for inviscid liquid-vapor flow with sharp interfaces. Zbl 07592148
Magiera, Jim; Rohde, Christian
1
2022
On the well-posedness of a nonlinear fourth-order extension of Richards’ equation. Zbl 1439.35390
Armiti-Juber, Alaa; Rohde, Christian
1
2020
Non-overlapping Schwarz waveform-relaxation for nonlinear advection-diffusion equations. Zbl 1516.65081
Gander, Martin J.; Lunowa, Stephan B.; Rohde, Christian
1
2023
A two scale model for liquid phase epitaxy with elasticity: an iterative procedure. Zbl 1432.76046
Eck, Christof; Kutter, Michael; Sändig, Anna-Margarete; Rohde, Christian
1
2013
Flow in porous media with fractures of varying aperture. Zbl 1518.76051
Burbulla, Samuel; Hörl, Maximilian; Rohde, Christian
1
2023
Modeling fracture propagation in poro-elastic media combining phase-field and discrete fracture models. Zbl 07644166
Burbulla, Samuel; Formaggia, Luca; Rohde, Christian; Scotti, Anna
1
2023
Non-overlapping Schwarz waveform-relaxation for nonlinear advection-diffusion equations. Zbl 1516.65081
Gander, Martin J.; Lunowa, Stephan B.; Rohde, Christian
1
2023
A finite-volume moving-mesh method for two-phase flow in dynamically fracturing porous media. Zbl 07527707
Burbulla, Samuel; Rohde, Christian
4
2022
An artificial equation of state based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier-Stokes equations. Zbl 07516795
Massa, F.; Ostrowski, L.; Bassi, F.; Rohde, C.
1
2022
A molecular-continuum multiscale model for inviscid liquid-vapor flow with sharp interfaces. Zbl 07592148
Magiera, Jim; Rohde, Christian
1
2022
On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena. Zbl 1456.60161
Rohde, Christian; Tang, Hao
10
2021
On a stochastic Camassa-Holm type equation with higher order nonlinearities. Zbl 1477.60101
Rohde, Christian; Tang, Hao
9
2021
A local-in-time theory for singular SDEs with applications to fluid models with transport noise. Zbl 1477.60105
Alonso-Orán, Diego; Rohde, Christian; Tang, Hao
8
2021
A ternary Cahn-Hilliard-Navier-Stokes model for two-phase flow with precipitation and dissolution. Zbl 1491.35346
Rohde, Christian; von Wolff, Lars
3
2021
A high-order stochastic Galerkin code for the compressible Euler and Navier-Stokes equations. Zbl 1521.76329
Dürrwächter, Jakob; Meyer, Fabian; Kuhn, Thomas; Beck, Andrea; Munz, Claus-Dieter; Rohde, Christian
3
2021
Publisher correction to: “On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena”. Zbl 1462.60090
Rohde, Christian; Tang, Hao
1
2021
Constraint-aware neural networks for Riemann problems. Zbl 1435.76046
Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian
22
2020
A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. Zbl 1464.65124
Meyer, Fabian; Rohde, Christian; Giesselmann, Jan
6
2020
A parabolic relaxation model for the Navier-Stokes-Korteweg equations. Zbl 07508350
Hitz, Timon; Keim, Jens; Munz, Claus-Dieter; Rohde, Christian
5
2020
Compressible multicomponent flow in porous media with Maxwell-Stefan diffusion. Zbl 1454.35296
Ostrowski, Lukas; Rohde, Christian
4
2020
\(hp\)-multilevel Monte Carlo methods for uncertainty quantification of compressible Navier-Stokes equations. Zbl 1486.65002
Beck, Andrea; Dürrwächter, Jakob; Kuhn, Thomas; Meyer, Fabian; Munz, Claus-Dieter; Rohde, Christian
3
2020
Homogenization of nonlocal Navier-Stokes-Korteweg equations for compressible liquid-vapor flow in porous media. Zbl 1454.76098
Rohde, Christian; von Wolff, Lars
3
2020
A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws. Zbl 1446.65111
Giesselmann, Jan; Meyer, Fabian; Rohde, Christian
3
2020
A fully conforming finite volume approach to two-phase flow in fractured porous media. Zbl 1454.65137
Burbulla, Samuel; Rohde, Christian
1
2020
On the well-posedness of a nonlinear fourth-order extension of Richards’ equation. Zbl 1439.35390
Armiti-Juber, Alaa; Rohde, Christian
1
2020
Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario. Zbl 1414.76058
Köppel, Markus; Franzelin, Fabian; Kröker, Ilja; Oladyshkin, Sergey; Santin, Gabriele; Wittwar, Dominik; Barth, Andrea; Haasdonk, Bernard; Nowak, Wolfgang; Pflüger, Dirk; Rohde, Christian
15
2019
On Darcy- and Brinkman-type models for two-phase flow in asymptotically flat domains. Zbl 1414.76051
Armiti-Juber, Alaa; Rohde, Christian
2
2019
Existence of weak solutions for a nonlocal pseudo-parabolic model for Brinkman two-phase flow in asymptotically flat porous media. Zbl 1428.35343
Armiti-Juber, Alaa; Rohde, Christian
2
2019
A linear domain decomposition method for partially saturated flow in porous media. Zbl 1440.76149
Seus, David; Mitra, Koondanibha; Pop, Iuliu Sorin; Radu, Florin Adrian; Rohde, Christian
24
2018
Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension. Zbl 1410.76171
Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph
14
2018
Fully resolved compressible two-phase flow: modelling, analytical and numerical issues. Zbl 1418.35313
Rohde, Christian
6
2018
A linear domain decomposition method for two-phase flow in porous media. Zbl 1425.76192
Seus, David; Radu, Florin A.; Rohde, Christian
5
2018
On Riemann solvers and kinetic relations for isothermal two-phase flows with surface tension. Zbl 1410.35105
Rohde, Christian; Zeiler, Christoph
4
2018
A particle-based multiscale solver for compressible liquid-vapor flow. Zbl 1407.76123
Magiera, Jim; Rohde, Christian
2
2018
A finite-volume tracking scheme for two-phase compressible flow. Zbl 1405.76029
Chalons, Christophe; Magiera, Jim; Rohde, Christian; Wiebe, Maria
1
2018
A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension. Zbl 1375.76194
Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph
21
2017
A finite volume method for undercompressive shock waves in two space dimensions. Zbl 1397.76086
Chalons, Christophe; Rohde, Christian; Wiebe, Maria
11
2017
Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media. Zbl 1396.76058
Köppel, Markus; Kröker, Ilja; Rohde, Christian
4
2017
Upscaling of a tri-phase phase-field model for precipitation in porous media. Zbl 1406.35297
Redeker, Magnus; Rohde, Christian; Sorin Pop, Iuliu
15
2016
Numerical solution of Navier-Stokes-Korteweg systems by local discontinuous Galerkin methods in multiple space dimensions. Zbl 1410.76166
Diehl, Dennis; Kremser, Jenny; Kröner, Dietmar; Rohde, Christian
12
2016
Finite-volume schemes for Friedrichs systems with involutions. Zbl 1410.78029
Betancourt, Fernando; Rohde, Christian
2
2016
Persistence of undercompressive phase boundaries for isothermal Euler equations including configurational forces and surface tension. Zbl 1352.35102
Kabil, Bugra; Rohde, Christian
1
2016
Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems. Zbl 1392.76090
Rybak, Iryna; Magiera, Jim; Helmig, Rainer; Rohde, Christian
26
2015
A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension. Zbl 1320.76095
Rohde, Christian; Zeiler, Christoph
15
2015
Relaxation of the Navier-Stokes-Korteweg equations for compressible two-phase flow with phase transition. Zbl 1455.65176
Neusser, J.; Rohde, C.; Schleper, V.
11
2015
A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems. Zbl 1396.65126
Kröker, Ilja; Nowak, Wolfgang; Rohde, Christian
7
2015
The computation of nonclassical shock waves in porous media with a heterogeneous multiscale method: the multidimensional case. Zbl 1331.35232
Kissling, Frederike; Rohde, Christian
3
2015
A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit. Zbl 1301.65126
Bürger, Raimund; Kröker, Ilja; Rohde, Christian
14
2014
Parabolic approximations of diffusive-dispersive equations. Zbl 1311.35153
Corli, Andrea; Rohde, Christian; Schleper, Veronika
8
2014
A conservative and convergent scheme for undercompressive shock waves. Zbl 1378.76057
Chalons, Ch.; Engel, P.; Rohde, Ch.
6
2014
Stochastic modeling for heterogeneous two-phase flow. Zbl 1304.76039
Köppel, Markus; Kröker, Ilja; Rohde, Christian
5
2014
Almost parallel flows in porous media. Zbl 1426.76330
Armiti-Juber, Alaa; Rohde, Christian
2
2014
The influence of surface tension and configurational forces on the stability of liquid-vapor interfaces. Zbl 1453.76213
Kabil, B.; Rohde, C.
1
2014
Finite volumes for complex applications VII – elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. II. Zbl 1291.65005
1
2014
Hyperbolic-hyperbolic relaxation limit for a 1D compressible radiation hydrodynamics model: superposition of rarefaction and contact waves. Zbl 1282.35314
Rohde, Christian; Wang, Wenjun; Xie, Feng
15
2013
Decay rates to viscous contact waves for a 1D compressible radiation hydrodynamics model. Zbl 1270.35112
Rohde, Christian; Xie, Feng
11
2013
A low-order approximation for viscous-capillary phase transition dynamics. Zbl 1302.35249
Engel, Patrick; Viorel, Adrian; Rohde, Christian
4
2013
A two scale model for liquid phase epitaxy with elasticity: an iterative procedure. Zbl 1432.76046
Eck, Christof; Kutter, Michael; Sändig, Anna-Margarete; Rohde, Christian
1
2013
Finite volume schemes for hyperbolic balance laws with multiplicative noise. Zbl 1241.65013
Kröker, Ilja; Rohde, Christian
20
2012
Fast relaxation solvers for hyperbolic-elliptic phase transition problems. Zbl 1387.80009
Chalons, Ch.; Coquel, F.; Engel, P.; Rohde, Ch.
12
2012
Asymptotic analysis for Korteweg models. Zbl 1241.76375
Dreyer, Wolfgang; Giesselmann, Jan; Kraus, Christiane; Rohde, Christian
12
2012
Singular limits for a parabolic-elliptic regularization of scalar conservation laws. Zbl 1259.35138
Corli, Andrea; Rohde, Christian
5
2012
A multiscale method for compressible liquid-vapor flow with surface tension. Zbl 1329.76175
Jaegle, Felix; Rohde, Christian; Zeiler, Christoph
5
2012
Global existence and blowup phenomenon for a 1D radiation hydrodynamics model problem. Zbl 1237.35112
Rohde, Christian; Xie, Feng
3
2012
Uncertainty quantification for a clarifier-thickener model with random feed. Zbl 1246.76069
Bürger, Raimund; Kröker, Ilja; Rohde, Christian
1
2011
The computation of nonclassical shock waves with a heterogeneous multiscale method. Zbl 1270.35312
Kissling, Frederike; Rohde, Christian
13
2010
A local and low-order Navier-Stokes-Korteweg system. Zbl 1453.35139
Rohde, Christian
12
2010
A kinetic decomposition for singular limits of non-local conservation laws. Zbl 1180.35349
Kissling, Frederike; LeFloch, Philippe G.; Rohde, Christian
3
2009
Local discontinuous-Galerkin schemes for model problems in phase transition theory. Zbl 1364.76087
Haink, Jenny; Rohde, Christian
9
2008
Dissipative entropy and global smooth solutions in radiation hydrodynamics and magnetohydrodynamics. Zbl 1157.76057
Rohde, Christian; Yong, Wenan
4
2008
A finite-volume approach to liquid-vapour fluids with phase transition. Zbl 1374.76133
Dressel, Alexander; Rohde, Christian
4
2008
Global existence and uniqueness of solutions for a viscoelastic two-phase model. Zbl 1157.35016
Dressel, Alexander; Rohde, Christian
1
2008
The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques. Zbl 1134.35074
Merkle, Christian; Rohde, Christian
24
2007
The nonrelativistic limit in radiation hydrodynamics. I: Weak entropy solutions for a model problem. Zbl 1108.76086
Rohde, Christian; Yong, Wenan
22
2007
Error estimates for finite volume approximations of classical solutions for nonlinear systems of hyperbolic balance laws. Zbl 1111.65081
Jovanovic, Vladimir; Rohde, Christian
17
2006
Computation of dynamical phase transitions in solids. Zbl 1116.74049
Merkle, C.; Rohde, C.
3
2006
On local and nonlocal Navier-Stokes-Korteweg systems for liquid-vapour phase transitions. Zbl 1099.76072
Rohde, Christian
29
2005
Overlapping Schwarz waveform relaxation for convection-dominated nonlinear conservation laws. Zbl 1105.65098
Gander, Martin J.; Rohde, Christian
23
2005
Sharp and diffuse interface methods for phase transition problems in liquid-vapour flows. Zbl 1210.80016
Coquel, F.; Rohde, C.; Merkle, C.; Diehl, D.
16
2005
Finite-volume schemes for Friedrichs systems in multiple space dimensions: a priori and a posteriori error estimates. Zbl 1068.65113
Jovanović, Vladimir; Rohde, Christian
11
2005
Scalar conservation laws with mixed local and nonlocal diffusion-dispersion terms. Zbl 1098.35103
Rohde, Christian
8
2005
Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy. Zbl 1067.35131
Rohde, Christian
3
2005
Radiation magnetohydrodynamics: analysis for model problems and efficient 3D simulations for the full system. Zbl 1088.76075
Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M.
1
2005
Numerical approximation of entropy solutions for hyperbolic integro-differential equations. Zbl 1060.65135
Dedner, Andreas; Rohde, Christian
8
2004
A parallel, load-balanced MHD code on locally-adapted, unstructured grids in 3d. Zbl 1120.76338
Dedner, Andreas; Rohde, Christian; Schupp, Bernhard; Wesenberg, Matthias
6
2004
On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation. Zbl 1099.35060
Rohde, C.; Zajączkowski, W. M.
4
2003
A new approach to divergence cleaning in magnetohydrodynamic simulations. Zbl 1061.76036
Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias
3
2003
The bifurcation analysis of the MHD Rankine-Hugoniot equations for a perfect gas. Zbl 1051.76025
Freistühler, Heinrich; Rohde, Christian
2
2003
Efficient higher-order finite volume schemes for (real gas) magnetohydrodynamics. Zbl 1059.76518
Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias
1
2003
Efficient divergence cleaning in three-dimensional MHD simulations. Zbl 1143.76498
Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M.
1
2003
Fully discrete, entropy conservative schemes of arbitrary order. Zbl 1033.65073
LeFloch, P. G.; Mercier, J. M.; Rohde, C.
91
2002
Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems. Zbl 1007.65059
Ohlberger, Mario; Rohde, Christian
11
2002
FV-schemes for a scalar model problem of radiation magnetohydrodynamics. Zbl 1177.76221
Dedner, Andreas; Rohde, Christian
7
2002
Numerical computation of viscous profiles for hyperbolic conservation laws. Zbl 1008.65094
Freistühler, Heinrich; Rohde, Christian
1
2002
Existence of weak solutions for a hyperbolic model of chemosensitive movement. Zbl 0984.35043
Hillen, Thomas; Rohde, Christian; Lutscher, Frithjof
17
2001
Zero diffusion-dispersion limits for self-similar Riemann solutions to hyperbolic systems of conservation laws. Zbl 1082.35106
LeFloch, Philippe G.; Rohde, Christian
5
2001
Convergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids. Zbl 1001.65102
Haasdonk, Bernard; Kröner, Dietmar; Rohde, Christian
4
2001
Existence, bifurcation, and stability of profiles for classical and non-classical shock waves. Zbl 1002.35087
Freistühler, Heinrich; Fries, Christian; Rohde, Christian
4
2001
Godunov-type schemes for the MHD equations. Zbl 1064.76560
Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M.
1
2001
High-order schemes, entropy inequalities, and nonclassical shocks. Zbl 0959.35117
LeFloch, Philippe G.; Rohde, Christian
32
2000
A MHD-simulation in solar physics. Zbl 1052.65542
Dedner, A.; Rohde, C.; Wesenberg, M.
3
1999
An introduction to recent developments in theory and numerics for conservation laws. Proceedings of the international school, Freiburg/ Littenweiler, Germany, October 20–24, 1997. Zbl 0904.00045
1
1999
Numerical methods for viscous profiles of non-classical shock waves. Zbl 0936.76063
Freistühler, Heinrich; Rohde, Christian
1
1999
Entropy solutions for weakly coupled hyperbolic systems in several space dimensions. Zbl 0906.35058
Rohde, Christian
5
1998
...and 2 more Documents
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Cited by 875 Authors

54 Rohde, Christian
15 Pop, Iuliu Sorin
13 Munz, Claus-Dieter
12 Gassner, Gregor J.
11 Giesselmann, Jan
11 Ranocha, Hendrik
9 Kröker, Ilja
8 Dedner, Andreas S.
8 Kröner, Dietmar
8 LeFloch, Philippe Gerard
8 Lukáčová-Medviďová, Mária
8 Ruan, Lizhi
8 Tang, Huazhong
8 Winters, Andrew R.
7 Duan, Junming
7 Fan, Lili
7 Jiang, Peng
7 Karlsen, Kenneth Hvistendahl
7 Mishra, Siddhartha
7 Radu, Florin Adrian
7 Tang, Hao
6 Bringedal, Carina
6 Dumbser, Michael
6 Gander, Martin Jakob
6 Knabner, Peter
6 Nowak, Wolfgang
6 Ohlberger, Mario
6 Oladyshkin, Sergey
6 Parsani, Matteo
6 Ray, Deep
6 Rybak, Iryna V.
6 Shu, Chi-Wang
6 Tadmor, Eitan
6 Xiang, Wei
5 Charve, Frédéric
5 Cifani, Simone
5 Dalcín, Lisandro D.
5 Dubey, Ritesh Kumar
5 Fjordholm, Ulrik Skre
5 Freistühler, Heinrich
5 Haasdonk, Bernard
5 Jakobsen, Espen Robstad
5 Kumar, Kundan
5 Santin, Gabriele
5 Xie, Feng
5 Yang, Jianwei
5 Zeiler, Christoph
4 Adams, Nikolaus A.
4 Ahmed, Elyes
4 Bauzet, Caroline
4 Berardi, Marco
4 Burbulla, Samuel
4 Bürger, Raimund
4 Chandrashekar, Praveen
4 Coclite, Giuseppe Maria
4 Del Rey Fernández, David C.
4 Di Ruvo, Lorenzo
4 Dreyer, Wolfgang
4 Eggenweiler, Elissa
4 Fechter, Stefan
4 Guarguaglini, Francesca Romana
4 Halpern, Laurence
4 Haspot, Boris
4 Helmig, Rainer
4 Ketcheson, David I.
4 Kmit, Irina
4 Kumar, Harish
4 Kusch, Jonas
4 Liu, Tiegang
4 Masson, Roland
4 Mathis, Hélène
4 Ray, Nadja
4 Risebro, Nils Henrik
4 Schleper, Veronika
4 Schnücke, Gero
4 Seguin, Nicolas
4 Tian, Lulu
4 von Wolff, Lars
4 Wang, Shu
3 Abgrall, Rémi
3 Armiti-Juber, Alaa
3 Beck, Andrea D.
3 Bhoriya, Deepak
3 Bolemann, Thomas
3 Boukharfane, Radouan
3 Cancès, Clément
3 Carpenter, Mark H.
3 Charrier, Julia
3 Difonzo, Fabio Vito
3 Flemisch, Bernd
3 Frank, Martin
3 Gallouët, Thierry
3 Ghidaglia, Jean-Michel
3 Hantke, Maren
3 Hillen, Thomas
3 Hindenlang, Florian J.
3 Hoang, Thi-Thao-Phuong
3 Hong, Hakho
3 Jaegle, Felix
3 Jiang, Yaolin
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Cited in 128 Serials

77 Journal of Computational Physics
32 Journal of Scientific Computing
20 Journal of Differential Equations
19 Computer Methods in Applied Mechanics and Engineering
18 Computational Geosciences
16 Applied Numerical Mathematics
15 Applied Mathematics and Computation
14 Journal of Mathematical Analysis and Applications
12 Computers & Mathematics with Applications
12 Mathematics of Computation
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Computers and Fluids
10 SIAM Journal on Numerical Analysis
10 SIAM Journal on Scientific Computing
9 BIT
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Journal of Hyperbolic Differential Equations
9 Communications in Computational Physics
8 Numerische Mathematik
7 Mathematical Methods in the Applied Sciences
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Journal of Computational and Applied Mathematics
7 SIAM Journal on Mathematical Analysis
6 Discrete and Continuous Dynamical Systems
5 Physica D
4 Archive for Rational Mechanics and Analysis
4 International Journal for Numerical Methods in Fluids
4 Journal of Mathematical Physics
4 Numerical Methods for Partial Differential Equations
4 Applied Mathematical Modelling
4 Journal of Dynamics and Differential Equations
4 Nonlinear Analysis. Real World Applications
4 Multiscale Modeling & Simulation
4 Oberwolfach Reports
3 Quarterly of Applied Mathematics
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Continuum Mechanics and Thermodynamics
3 Computing and Visualization in Science
3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Interfaces and Free Boundaries
3 Foundations of Computational Mathematics
3 Stochastic and Partial Differential Equations. Analysis and Computations
2 Acta Mechanica
2 Journal of Fluid Mechanics
2 Calcolo
2 Computing
2 Indiana University Mathematics Journal
2 Journal of Functional Analysis
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Acta Applicandae Mathematicae
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2 Journal of Nonlinear Science
2 NoDEA. Nonlinear Differential Equations and Applications
2 Advances in Computational Mathematics
2 Discrete and Continuous Dynamical Systems. Series B
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Journal of Numerical Mathematics
2 Communications on Pure and Applied Analysis
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Acta Numerica
2 Boundary Value Problems
2 Networks and Heterogeneous Media
2 Advances in Applied Mathematics and Mechanics
2 SMAI Journal of Computational Mathematics
2 Communications on Applied Mathematics and Computation
2 Communications in Mathematical Analysis and Applications
1 Applicable Analysis
1 Fluid Dynamics
1 International Journal of Engineering Science
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Engineering Mathematics
1 Journal of the Mechanics and Physics of Solids
1 Chaos, Solitons and Fractals
1 Acta Mathematica Vietnamica
1 Hokkaido Mathematical Journal
1 International Journal for Numerical Methods in Engineering
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Mathematica Numerica Sinica
1 Constructive Approximation
1 Applied Mathematics Letters
1 Asymptotic Analysis
1 European Journal of Applied Mathematics
1 The Annals of Applied Probability
1 Communications in Partial Differential Equations
1 International Journal of Computer Mathematics
1 SIAM Journal on Applied Mathematics
1 Stochastic Processes and their Applications
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Physics of Fluids
1 Journal of Mathematical Sciences (New York)
1 Electronic Journal of Differential Equations (EJDE)
1 Computational and Applied Mathematics
1 Bulletin des Sciences Mathématiques
1 International Journal of Computational Fluid Dynamics
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
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