FACULTY OF

MATHEMATICS

Theoretical analysis of forced segmented temperature gradients in liquid chromatography
In: Processes - Basel: MDPI, Volume 7 (2019), 1, Artikel 846

Theoretical and numerical studies of the PNPM DG schemes in one space dimension
In: Applications of mathematics - Dordrecht [u.a.]: Springer Science + Business Media B.V, Bd. 64.2019, 6, S. 599-635

Zahl oder Menge - über grundlegende Formen der Mathematik
In: Ästhetik & Artikulation - Münster: Waxmann, S. 191-204, 2019 - (Dialog der Wissenschaften; 3)

Noise reduction in perfusion imaging using data-driven prior knowledge
In: Clinical neuroradiology - München: Urban & Vogel, Vol. 28.2018, Suppl. 1, Abstr. 288, S. S100-S101

Time separation technique - accurate solution for 4D C-Arm-CT perfusion imaging using a temporal decomposition model
In: Medical physics - Hoboken, NJ: Wiley, Bd. 45.2018, 3, S. 1080-1092

Numerical solutions for a weakly hyperbolic dispersed two-phase flow model
In: Theory, Numerics and Applications of Hyperbolic Problems I: Aachen, Germany, August 2016 - Cham: Springer International Publishing, S. 665-675, 2018 - (Springer Proceedings in Mathematics & Statistics; 236)

Dynamische Perfusionsbildgebung mit C-Arm-System
In: Clinical neuroradiology: official publication of the German, Austrian and Swiss societies of neuroradiology - München: Urban & Vogel, Vol. 27.2017, Suppl. 1, Art. 311, S. S46

Robust computation of perfusion maps for spatiotemporal model-based CT reconstructionsons
In: Recent progress and developments: 3rd Conference on Image-Guided Interventions & Focus Neuroradiologie, November 6 and 7, 2017, Magdeburg, Germany : abstract book - Magdeburg, 2017, Art. ID47, S. 31 ; [Konferenz: 3rd Conference on Image-Guided Interventions & Focus Neuroradiologie, Magdeburg, Germany, November 6 and 7, 2017]

Hallak, Bassem;  Specht, Eckehard;  Herz, Fabian;  Gröpler, Robin;  Warnecke, Gerald 

Influence of particle size distribution on the limestone decomposition in single shaft kilns
In: Energy procedia - Amsterdam [u.a.]: Elsevier, Bd. 120.2017, S. 604-611

A compaqct algorithm for a model-based perfusion reconstruction technique
In: IMA Conference on Numerical Linear Algebra und Optimization: Wednesday 7 - Friday 9 September 2016, University of Birmingham ; abstracts book and delegate list - Birmingham: Institut of Mathematics & its Applications, S. 36-37 ; [Kongress: 5th IMA Conference on Numerical Linear Algebra und Optimization, Birmingham, UK, 7-9 September, 2016]

Simulation of limestone calcination in normal shaft kilns, Part 3: Influence of particle size distribution and type of limestone
In: Cement, lime, gypsum - Gütersloh: Bauverl. BV, Bd. 69.2016, 3, S. 64-68

Acceleration of a regularized Algebraic Reconstruction Technique evaluated with a simulation of computed tomography
In: IMA Conference on Numerical Methods for Simulation: Tuesday 1 - Friday 4 September 2015, Mathematical Institute, University of Oxford ; abstracts book and delegate list - Oxford: Univ., S. 17

Koeffizientenbasierte Algebraische Rekonstruktions-Technik für modellbasierte Perfusionsbildgebung
In: IGIC 2015: 2. Image-Guided Interventions Conference, 2. - 3. November 2015, Mannheim ; Abstractband - Vorträge - Mannheim, S. 19 ; [Beitrag auf USB-Stick]

An optimal relaxation of the algebraic reconstruction technique for CT imaging
In: Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine: proceedings - Newport, 2015, 2015, Art. Th21, S. 622-625

Simulation of the limestone calcination in normal shaft kilns
In: 10th European Conference on Industrial Furnaces and Boilers: INFUB ; Gaia (Porto), Hotel Holiday Inn Gaia, Portugal, 7 - 10 April 2015 - Gaia (Porto), insges. 10 S.

Regular solutions to the coagulation equations with singular kernels
In: Mathematical methods in the applied sciences - Chichester, West Sussex: Wiley, Bd. 38.2015, 11, S. 2171-2184

Simulation of limestone calcination in normal shaft kilns - Part 1 - mathematical model
In: Cement, lime, gypsum - Gütersloh: Bauverl. BV, 9, S. 66-71, 2015

Simulation of limestone calcination in normal shaft kilns - Part 2: influence of process parameters
In: Cement, lime, gypsum - Gütersloh: Bauverl. BV, 10, S. 46-50, 2015

The singular kernel coagulation equation with multifragmentation
In: Mathematical methods in the applied sciences - Chichester, West Sussex: Wiley, Bd. 38.2015, 14, S. 2953-2973

Simulation of limestone calcination in normal shaft kilns - mathematical model
In: ZKG international: Bundesverband der Deutschen Zementindustrie ; Bundesverband der Deutschen Kalkindustrie ; Bundesverband der Gips- und Gipsbauplattenindustrie - Walluf: Bauverl, Bd. 68.2015, 9, S. 66-71

An implicit optimization approach for the Kaczmarz method applied to algebraic reconstruction techniques for computed tomography
In: 4th IMA Confernece on Numerical Linear Algebra and Optimisation - Birmingham: Univ., S. 10, 2014 ; Kongress: IMA Confernece on Numerical Linear Algebra and Optimisation 4 (Birmingham : 2014.09.03-05)

Optimale Relaxation der algebraischen Rekonstruktionstechnik für CT
In: IGIC 2014 - Abstractband: 1st Conference on Image-Guided Interventions, 13. - 14. Oktober 2014, Magdeburg ; [1. Tagung \"Image-Guided Interventions\"] - Magdeburg: Univ., S. 25-26 ; Kongress: Conference on Image-Guided Interventions 1 (Magdeburg) ; 2014.10.13-14

A note on existence and uniqueness of solutions for a thermodynamically consistent Becker-Döring model
In: Methods and applications of analysis. - Somerville, Mass : International Press, Bd. 21.2014, 2, S. 177-200

Analysis and numerical investigation of two dynamic models for liquid chromatography
In: Chemical engineering science. - Amsterdam [u.a.] : Elsevier Science, Bd. 90.2013, S. 17-31

Iterative solution of system matrices from computer tomography using discrete time flow methods
In: Magdeburg, Univ., Fak. für Mathematik, 2013, 12 S. - (Preprint; Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg; 2013,11)

Bubbles in liquids with phase transition. Part 1: On phase change of a single vapor bubble in liquid water
In: Continuum mechanics and thermodynamics: analysis of complex materials and judicious evaluation of the environment - Berlin: Springer, Bd. 24.2012, 4/6, S. 461-483

Exact Riemann solutions to compressible Euler equations in ducts with discontinuous cross-section
In: Journal of hyperbolic differential equations. - London [u.a.] : World Scientific, Bd. 9.2012, 3, S. 403-449

Nagaiah, Ch.;  Rüdiger, S.;  Warnecke, Gerald;  Falcke, M. 

Adaptive space and time numerical simulation of reaction-diffusion models for intracellular calcium dynamics
In: Applied mathematics and computation. - Amsterdam [u.a.] : Elsevier, Bd. 218.2012, 20, S. 10194-10210

In: Chemical engineering journal - Amsterdam: Elsevier, Bd. 191.2012, S. 426-440

Robust a posteriori error estimates for subgrid stabilization of non-stationary convection dominated diffusive transport
In: Applied mathematics and computation. - Amsterdam [u.a.] : Elsevier, Bd. 218.2012, 9, S. 5276-5291

Weak solutions to the continuous coagulation equation with multiple fragmentation
In: Nonlinear analysis. - Oxford : Pergamon, Elsevier Science, Bd. 75.2012, 4, S. 2199-2208

Numerical methods for solving two-dimensional aggregation population balance equations
In: Computers & chemical engineering. - Amsterdam [u.a.] : Elsevier Science, Bd. 35.2011, 6, S. 999-1009

A discontinuous Galerkin method to solve chromatographic models
In: Journal of chromatography. - Amsterdam [u.a.] : ElsevierJournal of chromatography / A, Bd. 1218.2011, 40, S. 7137-7146

Uniqueness for the coagulation-fragmentation equation with strong fragmentation
In: Zeitschrift für angewandte Mathematik und Physik. - Basel [u.a.] : Birkhäuser, Bd. 62.2011, 6, S. 1047-1063

Uniqueness of steady-state solutions for thermodynamically consistent Becker-Döring models
In: Journal of mathematical physics. - Melville, NY : American Institute of Physics, Bd. 52.2011, 8, insges. 28 S.

Weak solutions to the continuous coagulation equation with multiple fragmentation
In: Nonlinear analysis. - Amsterdam [u.a.] : Elsevier, Pergamon PressNonlinear analysis / Theory, methods and applications, 2011

A note on moment preservation of finite volume schemes for solving growth and aggregation population balance equations
In: Society for Industrial and Applied Mathematics : SIAM journal on scientific computing . - Philadelphia, Pa. : SIAM, Bd. 32.2010, 2, S. 703-713

Calcium domains around single and clustered IP 3 receptors and their modulation by buffers
In: Biophysical journal . - Bethesda, Md. : Biophysical Soc., Bd. 99.2010, 1, S. 3-12

Efficient and accurate numerical simulation of nonlinear chromatographic processes
In: Computers & chemical engineering: CACE ; an international journal - Amsterdam [u.a.]: Elsevier, Bd. 35.2011, 11, S. 2294-2305, 2010

Modeling phase transition for compressible two-phase flows applied to metastable liquids
In: Journal of computational physics - Amsterdam: Elsevier, Bd. 229.2010, 8, S. 2964-2998

Steady states of the 1D Doi-Onsager model in the strong shear flow
In: Communications in mathematical sciences . - Somerville, Mass. : International Press, Bd. 8.2010, 3, S. 721-734

The continuous coagulation equation with multiple fragmentation
In: Journal of mathematical analysis and applications . - Amsterdam [u.a.] : Elsevier, ISSN 0022-247x, Bd. 374.2010, 1, S. 71-87

"Alles was zählt!" - der mathematische Blick
In: Magdeburg: Univ., Fak. für Mathematik, 2009; Getr. Zählung: Ill.; 29 cm - (Technical Report / Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg; 2009,2)

Disintegration process of surface stabilized sol-gel TiO 2 nanoparticles by population balances
In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 64.2009, 24, S. 5302-5307

Local oscillations in finite difference solutions of hyperbolic conservation laws
In: Mathematics of computation . - Providence, RI : Soc., Bd. 78.2009, 268, S. 1997-2018

Modeling of the modulation by buffers of Ca 2+ release through clusters of IP 3 receptors
In: Biophysical journal . - Bethesda, Md. : Biophysical Soc., Bd. 97.2009, 4, S. 992-1002

Numerical approximations of a population balance model for coupled batch preferential crystallizers
In: , Bd. 59.2009, 3/4, S. 739-753

On the solution of population balances for nucleation, growth, aggregation and breakage processes
In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 64.2009, 9, S. 2088-2095

A laplace transformation based technique for reconstructing crystal size distributions regarding size independent growth
In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 63.2008, 8, S. 2233-2240

Numerical solutions of population balance models in preferential crystallization
In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 63.2008, 5, S. 1342-1352

The cell average technique for solving multi-dimensional aggregation population balance equations
In: Computers & chemical engineering . - Amsterdam [u.a.] : Elsevier, Bd. 32.2008, 8, S. 1810-1830

Three-dimensional numerical study of heat and mass transfer in fluidized beds with spray nozzle
In: Computers & chemical engineering . - Amsterdam [u.a.] : Elsevier, Bd. 32.2008, 12, S. 2877-2890

Book contribution

Warnecke, Gerald
Predigt beim Akademischen Gottesdienst am 23. Januar 2005 in der Wallonerkirche zu Magdeburg
In: Predigten der Magdeburger Akademischen Gottesdienste 2001 bis 2007 . - Magdeburg : Univ., Evangel. Hochschulpfarramt, S. 167-176, 2008

A high-resolution space-time conservative method for non-linear hyperbolic conservation laws
In: International journal of computational methods: IJCM - Singapore [u.a.]: World Scientific Publishing, Bd. 4.2007, 2, S. 223-247

Adaptive high-resolution schemes for multidimensional population balances in crystallization processes
In: Computers & chemical engineering: CACE : an international journal - Amsterdam [u.a.]: Elsevier, Bd. 31.2007, 10, S. 1296-1311

Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system
In: Applied numerical mathematics: transactions of IMACS - Amsterdam [u.a.]: North-Holland Publ. Co, Bd. 57.2007, 9, S. 1050-1064

Hybrid stochastic and deterministic simulations of calcium blips
In: Biophysical journal: BJ - Bethesda, Md: Biophysical Soc, Bd. 93.2007, 6, S. 1847-1857

Numerical solution of population balance equations for nucleation, growth and aggregation processes
In: Computers & chemical engineering: CACE : an international journal - Amsterdam [u.a.]: Elsevier, Bd. 31.2007, 12, S. 1576-1589

On convergence of a domain decomposition method for a scalar convervation law
In: SIAM journal on numerical analysis . - Philadelphia, Pa. : SIAM, Bd. 45.2007, 4, S. 1453-1471

On the stability of evolution Galerkin schemes applied to a two-dimensional wave equation system
In: SIAM journal on numerical analysis: a publication of the Society for Industrial and Applied Mathematics - Philadelphia, Pa: SIAM, Bd. 44.2007, 4, S. 1556-1583

Study on a cross diffusion parabolic system
In: Acta mathematicae applicatae sinica / English series - Berlin: Springer, Bd. 23.2007, 1, S. 9-28

Book contribution

Application of space-time CE/SE method to shallow water magnetohydrodynamic equations
In: Journal of computational and applied mathematics . - Amsterdam [u.a.] : North-Holland, Bd. 196.2006, 1, S. 132-149

A comparative study of high resolution schemes for solving population balances in crystallization
In: Computers & chemical engineering . - Amsterdam [u.a.] : Elsevier Science, Bd. 30.2006, 6/7, S. 1119-1131

A discretized model for tracer population balance equation - improved accuracy and convergence
In: Computers & chemical engineering . - Amsterdam [u.a.] : Elsevier Science, Bd. 30.2006, 8, S. 1278-1292

An improved discretized tracer mass distribution of Hounslow et al.
In: AIChE journal - Hoboken, NJ: Wiley, Bd. 52.2006, 4, S. 1326-1332

Improved accuracy and convergence of discretized population balance for aggregation - the cell average technique
In: Chemical engineering science: journal internat. de génie chimique - Amsterdam: Elsevier, Bd. 61.2006, 10, S. 3327-3342

High resolution schemes for solving population balances in crystallization.
In: L\'Ôcole Nationale de l\'Industrie Minérale (Veranst.): D\'Analyse numerique et optimisation, JAN 08(8. journées, Rabat, 14 au 16 Decembre, 2005). - actes. Rabat, 2005, S. 442 - 447

Kunik, Matthias;  Qamar, Shamsul;  Warnecke, Gerald 

A BGK-type flux-vector splitting scheme for the ultrarelativistic euler equations.
In: SIAM journal on scientific computing [Philadelphia, Pa.] 26(2004), Nr. 1, S. 196 - 223

A Runge-Kutta discontinuous galerkin method for the euler equations.
In: Computers & fluids : an international journal [New York, NY] 34(2005), S. 375 - 398

A class of high resolution difference schemes for nonlinear Hamilton-Jacobi equations with varying time and space grids.
In: SIAM journal on scientific computing [Philadelphia, Pa.] 26(2005), Nr. 4, S. 1415 - 1431

A high order kinetic Flux-splitting method for the special relativistic hydrodynamics.
In: International journal of computational methods [Singapore] 2(2005), Nr. 1, S. 49 - 74

A high-order kinetic flux-splitting method for the relativistic magnetohydrodynamics.
In: Journal of computational physics [Orlando, Fl.] 205(2005), S. 182 - 204

A reduction of the Boltzmann-Peierls equation.
In: International journal of computational methods [Singapore] 2(2005), Nr. 2, S. 213 - 229

Book contribution

Ain, Qurrat-Ul;  Qamar, Shamsul;  Warnecke, Gerald 

A space-time conservative finite volume scheme for hyperbolic conservation laws.
In: Benkhaldoun, Fayssal (Hrsg.) ; Quazar, Driss (Hrsg.) ; Raghay, Said (Hrsg.): Finite volumes for complex applications IV. London [u.a.] : Hermes Science Publ., 2005, S. 459 - 470

A note on (2K+1)-point conservative monotone schemes.
In: Mathematical modelling and numerical analysis [Les Ulis] 38(2004), Nr. 2, S. 345 - 357

A note on (2k + 1)-point conservative monotone schemes.
In: RAIRO /AFCET, Mathematical modelling and numerical analysis [Paris] 38(2004), Nr. 2, S. 345 - 357

Asymptotic stability of traveling waves for viscous consservation laws with dispersion.
In: Advances in differential equations [Athens, Ohio] 9(2004), Nr. 9/10, S. 1167 - 1184

Finite volume evolution Galerkin methods for hyperbolic systems.
In: SIAM journal on scientific computing [Philadelphia, Pa.] 26(2004), Nr. 1, S. 1 - 30

Kinetic schemes for the relativistic gas dynamics.
In: Numerische Mathematik [Berlin] 97(2004), S. 159 - 191

On evolution galerkin methods for the maxwell and the linearized Euler equations.
In: Applications of mathematics [Praha] 49(2004), Nr. 5, S. 415 - 439

On the boundary conditions for EG methods applied to the two-dimensional wave equation system.
In: Zeitschrift für angewandte Mathematik und Mechanik : ZAMM [Berlin] 84(2004), Nr. 4, S. 237 - 251

On the solution to the Riemann problem for the compressible duct flow.
In: Siam journal on applied mathematics [Philadelphia] 64(2004), Nr. 3, S. 878 - 901

Simulation of multicomponent flows using high order central schemes.
In: Applied numerical mathematics [Amsterdam] 50(2004), S. 183 - 201

The Riemann problem for the Baer-Nunziato two-phase flow model.
In: Journal of computational physics [Orlando, Fl.] 195(2004), S. 434 - 464

2003

A simple method for compressible multiphase mixtures and interfaces.
In: International journal for numerical methods in fluids [Chichester] 41(2003), S. 109 - 131

Evolution Galerkin schemes applied to two-dimensional Riemann problems for the wave equation system.
In: Discrete and continuous dynamical systems [Springfield, Mo.] 9(2003), Nr. 3, S. 559 - 576

Existence and uniqueness of solutions for a non-uniformly parabolic equation.
In: Journal of differential equations [Orlando, Florida] 189(2003), S. 1 - 16

Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics.
In: Advances in differential equations [Athens, Ohio] 8(2003), Nr. 8, S. 961 - 1004

Kinetic schemes for the ultra-relativistic Euler equations.
In: Journal of computational physics [Orlando, Fl.] 187(2003), S. 572 - 596

Second-order accurate kinetic schemes for the ultra-relativistic Euler equations. , S. 695 - 726
In: Journal of computational physics [Orlando, Fl.] 192(2003)

Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system.
In: Journal of numerical mathematics [Utrecht] 11(2003), Nr. 3, S. 235 - 251

Book contribution

Andrianov, Nikolai;  Saurel, Richard (ext.);  Warnecke, Gerald 

The Riemann problem for a two-phase model.
In: Hou, Thomas Y. (Hrsg.) ; Tadmor, Eitan (Hrsg.): Hyperbolic problems : theory, numerics, applications (9th international conference Pasadena, Calif. March 25-29 2002). - proceedings. Berlin [u.a.] : Springer, 2003, S. 275 - 284

Error bounds for the large time step Glimm scheme applied to scalar conservation laws.
In: Numerische Mathematik [Berlin] 91(2002), S. 13 - 34

Finite volume evolution Galerkin methods for Euler equations of gas dynamics.
In: International journal for numerical methods in fluids [Chichester] 40(2002), S. 425 - 434

Finite volume evolution Galerkin methods for nonlinear hyperbolic systems.
In: Journal of computational physics [Orlando, Fl.] 183(2002), S. 533 - 562

On measure solutions to the zero-pressure gas model and their uniqueness.
In: Mathematica bohemica [Praha] 127(2002), Nr. 2, S. 265 - 273

Adaption and reliability of numerical methods for stiff and nonstiff problems in CFD.
In: Computational fluid dynamics journal [Tokyo] 9(2001), Nr. 1, S. 540 - 548

Convergence of a splitting scheme applied to the Ruijgrok-Wu model of the Boltzmann equation.
In: Journal of computational and applied mathematics [Amsterdam] 134(2001), S. 343 - 367

Convergence rates to discrete shocks for nonconvex conservation laws.
In: Numerische Mathematik [Berlin] 88(2001), Nr. 3, S. 513 - 541

Book contribution

Helzel, Christiane (ext.);  Warnecke, Gerald 

Unconditionally stable explicit schemes for the approximation of conservation laws.
In: Fiedler, Bernold (Hrsg.): Ergodic theory, analysis, and efficient simulation of dynamical systems. Berlin : Springer, 2001, S. 775 - 803

Numerical schemes based on bicharacteristics for hyperbolic systems.
In: CIMASI\' 2000 (Third international conference on applied mathematics and engineering sciences Casablanca, Marocco October 23- 24 -24, 2000). Casablanca, 2000, Beitrag auf CD- ROM, [6 S.]

Convergence rates for relaxation schemes approximating conservation laws.
In: SIAM journal on numerical analysis [Philadelphia] 37(2000), Nr. 4, S. 1316 - 1337

Evolution galerkin methods for hyperbolic systems in two space dimensions.
In: Mathematics of computation [Washington, DC] 69(2000), Nr. 232, S. 1355 - 1384

Lax-Wendroff type second order evolution Galerkin methods for multidimensional hyperbolic systems.
In: East-west journal of numerical mathematics [Zeist] 8(2000), Nr. 2, S. 127 - 152

Adaptive numerics for the simulation of magneto-plasmadynamic rocket thrusters.
In: Neittaanmäki, Pekka (Hrsg.) ; ... (Hrsg.): Numerical mathematics and advanced applications, ENUMATH \'99 (3rd European conference Jyväskylä 26. - 30.07, 1999). - proceedings. River Edge, NJ : World Scientific, 2000, S. 121 - 130

Evolution Galerkin methods for multidimensional hyperbolic systems.
In: Computational methods in applied sciences and engineering, ECCOMAS 2000 (European congress Barcelona, 11-14 September 2000). - proceedings. Barcelona : CIMNE, 2000, [14 S.]

High-resolution finite volume evolution Galerkin schemes for multidimensional hyperbolic conservation laws.
In: Neittaanmäki, Pekka (Hrsg.) ; ... (Hrsg.): Numerical mathematics and advanced applications, ENUMATH \'99 (3rd European conference Jyväskylä 26. - 30.07, 1999). - proceedings. River Edge, NJ : World Scientific, 2000, S. 633 - 640

Initial effects and convergence rates for relaxation methods.
In: Fiedler, Bernold (Hrsg.) ; ... (Hrsg.): EQUADIFF \'99 (international conference on Differential Equations, Berlin 1. - 7. August 1999). vol. 1. - proceedings. Singapore : World Scientific, 2000, S. 301 - 307

Publications 1985-1999