## Mathematical and Computer Modelling of Dynamical Systems

### Methods, Tools and Applications in Engineering and Related Sciences

 Short Title: Math. Comput. Model. Dyn. Syst. Publisher: Taylor & Francis, Abingdon, Oxfordshire ISSN: 1387-3954; 1744-5051/e Online: http://www.tandfonline.com/loi/nmcm20 Predecessor: Mathematical Modelling of Systems
 Documents Indexed: 663 Publications (since 1998) References Indexed: 496 Publications with 14,071 References.
all top 5

### Latest Issues

 28, No. 1 (2022) 27, No. 1 (2021) 26, No. 6 (2020) 26, No. 5 (2020) 26, No. 4 (2020) 26, No. 3 (2020) 26, No. 2 (2020) 26, No. 1 (2020) 25, No. 6 (2019) 25, No. 5 (2019) 25, No. 4 (2019) 25, No. 3 (2019) 25, No. 2 (2019) 25, No. 1 (2019) 24, No. 6 (2018) 24, No. 5 (2018) 24, No. 4 (2018) 24, No. 3 (2018) 24, No. 2 (2018) 24, No. 1 (2018) 23, No. 6 (2017) 23, No. 5 (2017) 23, No. 3 (2017) 23, No. 2 (2017) 23, No. 1 (2017) 22, No. 6 (2016) 22, No. 5 (2016) 22, No. 4 (2016) 22, No. 3 (2016) 22, No. 2 (2016) 22, No. 1 (2016) 21, No. 6 (2015) 21, No. 5 (2015) 21, No. 4 (2015) 21, No. 3 (2015) 21, No. 2 (2015) 21, No. 1 (2015) 20, No. 6 (2014) 20, No. 5 (2014) 20, No. 4 (2014) 20, No. 3 (2014) 20, No. 2 (2014) 20, No. 1 (2014) 19, No. 6 (2013) 19, No. 5 (2013) 19, No. 4 (2013) 19, No. 3 (2013) 19, No. 2 (2013) 19, No. 1 (2013) 18, No. 6 (2012) 18, No. 5 (2012) 18, No. 4 (2012) 18, No. 3 (2012) 18, No. 2 (2012) 18, No. 1 (2012) 17, No. 6 (2011) 17, No. 5 (2011) 17, No. 4 (2011) 17, No. 3 (2011) 17, No. 2 (2011) 17, No. 1 (2011) 16, No. 6 (2010) 16, No. 5 (2010) 16, No. 4 (2010) 16, No. 3 (2010) 16, No. 2 (2010) 16, No. 1 (2010) 15, No. 6 (2009) 15, No. 5 (2009) 15, No. 4 (2009) 15, No. 3 (2009) 15, No. 2 (2009) 15, No. 1 (2009) 14, No. 6 (2008) 14, No. 5 (2008) 14, No. 4 (2008) 14, No. 3 (2008) 14, No. 2 (2008) 14, No. 1 (2008) 13, No. 6 (2007) 13, No. 5 (2007) 13, No. 4 (2007) 13, No. 3 (2007) 13, No. 2 (2007) 13, No. 1 (2007) 12, No. 6 (2006) 12, No. 5 (2006) 12, No. 4 (2006) 12, No. 2-3 (2006) 12, No. 1 (2006) 11, No. 4 (2005) 11, No. 3 (2005) 11, No. 2 (2005) 11, No. 1 (2005) 10, No. 3-4 (2004) 10, No. 2 (2004) 10, No. 1 (2004) 9, No. 4 (2003) 9, No. 3 (2003) 9, No. 2 (2003) ...and 19 more Volumes
all top 5

### Authors

 14 Lohmann, Boris 13 Kugi, Andreas 7 Benner, Peter 7 Schlacher, Kurt 6 Couenne, Françoise 6 Moxnes, John F. 6 Murray-Smith, David J. 6 Saak, Jens 6 Schmickl, Thomas 5 Crailsheim, Karl 5 Dochain, Denis 5 Dormido, Sebastián 5 Haasdonk, Bernard 5 Harmand, Jérôme 5 Hausken, Kjell 5 Jakubek, Stefan 5 Jiang, Yaolin 5 Lefèvre, Laurent 5 Leva, Alberto 5 Maschke, Bernhard M. 5 Matko, Drago 5 Schöberl, Markus 5 Urquia, Alfonso 4 Dauphin-Tanguy, Geneviève 4 Geiser, Jürgen 4 Ilegbusi, Olusegun J. 4 Kemmetmüller, Wolfgang 4 Kozek, Martin 4 Mami, Abdelkader 4 Mazouni, Djalel 4 McPhee, John J. 4 Salimbahrami, Behnam 4 Sawodny, Oliver 4 Söffker, Dirk 4 Steinboeck, Andreas 3 Aschemann, Harald 3 Avalos, Gilberto Gonzalez 3 Bogaerts, Philippe 3 Cao, Guohua 3 Casella, Francesco 3 Chandra, Vigyan 3 Chattopadhyay, Joydev 3 Cho, Young Man 3 Dai, Wanyang 3 Donida, Filippo 3 Eberhard, Peter 3 Engell, Sebastian 3 Ferretti, Gianni 3 Fossen, Thor I. 3 Geiger, Gerhard 3 Hamann, Heiko 3 Hametner, Christoph 3 Hoffmann, K. 3 Kiefer, Thomas 3 Kumar, Ratnesh 3 Lakin, William D. 3 Le Gorrec, Yann 3 Macchelli, Alessandro 3 Moosavian, S. Ali A. 3 Mušič, Gašper 3 Pedersen, Eilif 3 Rauh, Andreas 3 Stykel, Tatjana 3 Tischendorf, Caren 3 Trentelman, Harry L. 3 Vande Wouwer, Alain 3 Vanrolleghem, Peter A. 3 Zimmer, Dirk 3 Zupančič, Borut 2 Abo-Hammour, Za’er S. 2 Ahmed-Ali, Tarek 2 Al-Smadi, Adnan M. 2 Alsmadi, Othman M. K. 2 Althoefer, Kaspar 2 Amirouche, Farid M. L. 2 Antoulas, Athanasios C. 2 Baaiu, A. 2 Babary, Jean-Pierre 2 Baili, Hana 2 Baumgart, Michael 2 Bayraktar, Alemdar 2 Beitelschmidt, Michael 2 Ben Mabrouk, Salah 2 Berenguel, Manuel 2 Bhunia, Asoke Kumar 2 Bideaux, Eric 2 Bitzer, Matthias 2 Bodi, Michael 2 Borutzky, Wolfgang 2 Bošnjak, S. M. 2 Büskens, Christof 2 Chatterjee, Samrat 2 Chernous’ko, Feliks Leonidovich 2 Chiu, Singa Wang 2 Chudej, Kurt 2 Dahlquist, Erik 2 Deregnaucourt, Maxime 2 Deutscher, Joachim 2 Dyczij-Edlinger, Romanus 2 Efe, Mehmet Onder ...and 1,263 more Authors
all top 5

### Fields

 475 Systems theory; control (93-XX) 109 Biology and other natural sciences (92-XX) 61 Numerical analysis (65-XX) 60 Computer science (68-XX) 58 Operations research, mathematical programming (90-XX) 53 Mechanics of deformable solids (74-XX) 49 Mechanics of particles and systems (70-XX) 41 Ordinary differential equations (34-XX) 34 Partial differential equations (35-XX) 33 Fluid mechanics (76-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 27 Dynamical systems and ergodic theory (37-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 21 Classical thermodynamics, heat transfer (80-XX) 18 General and overarching topics; collections (00-XX) 17 Combinatorics (05-XX) 17 Information and communication theory, circuits (94-XX) 12 Probability theory and stochastic processes (60-XX) 10 Statistics (62-XX) 10 Statistical mechanics, structure of matter (82-XX) 7 Geophysics (86-XX) 5 Optics, electromagnetic theory (78-XX) 3 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

286 Publications have been cited 1,189 times in 1,033 Documents Cited by Year
New features of the software MatCont for bifurcation analysis of dynamical systems. Zbl 1158.34302
Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E.; Sautois, B.
2008
Differential equations with fuzzy parameters. Zbl 0961.34047
Oberguggenberger, M.; Pittschmann, S.
1999
A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space. Zbl 1302.65221
Haasdonk, Bernard; Dihlmann, Markus; Ohlberger, Mario
2011
Balanced truncation model reduction of second-order systems. Zbl 1151.93010
Reis, Timo; Stykel, Tatjana
2008
Efficient reduced models and a posteriori error estimation for parametrized dynamical systems by offline/online decomposition. Zbl 1230.37110
Haasdonk, Bernard; Ohlberger, Mario
2011
Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media. Zbl 1302.76127
Chaturantabut, Saifon; Sorensen, Danny C.
2011
An $$hp$$ certified reduced basis method for parametrized parabolic partial differential equations. Zbl 1302.65223
Eftang, Jens L.; Knezevic, David J.; Patera, Anthony T.
2011
An improved numerical method for balanced truncation for symmetric second-order systems. Zbl 1305.93043
Benner, Peter; Kürschner, Patrick; Saak, Jens
2013
Two methods of simulator coupling. Zbl 0962.65107
Kübler, R.; Schiehlen, W.
2000
The index of an infinite dimensional implicit system. Zbl 0922.35040
Campbell, S. L.; Marszalek, W.
1999
Efficient balancing-based MOR for large-scale second-order systems. Zbl 1221.93039
Benner, Peter; Saak, Jens
2011
Balanced truncation model reduction of large-scale dense systems on parallel computers. Zbl 0978.93013
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio
2000
Comparison of the reduced-basis and POD a posteriori error estimators for an elliptic linear-quadratic optimal control problem. Zbl 1302.49045
Tonn, Timo; Urban, K.; Volkwein, S.
2011
Dynamic systems identification with Gaussian processes. Zbl 1122.93081
Kocijan, Juš; Girard, Agathe; Banko, Blaž; Murray-Smith, Roderick
2005
A continuum-mechanics interpretation of Reissner’s nonlinear shear-deformable beam theory. Zbl 1421.74056
Irschik, Hans; Gerstmayr, Johannes
2011
Role of transmissible disease in an infected prey-dependent predator-prey system. Zbl 1135.93003
2007
Two approaches for state space realization of NARMA models: Bridging the gap. Zbl 1004.93008
2002
Tangential interpolation-based eigensystem realization algorithm for MIMO systems. Zbl 1348.93132
Kramer, B.; Gugercin, S.
2016
Mathematical modelling of social obesity epidemic in the region of Valencia, Spain. Zbl 1298.37080
Santonja, F.-J.; Villanueva, R.-J.; Jódar, L.; Gonzalez-Parra, G.
2010
Extended Kalman filtering for fuzzy modelling and multi-sensor fusion. Zbl 1115.93091
Rigatos, G.; Tzafestas, S.
2007
Linear differential-algebraic equations with properly stated leading term: $$A$$-critical points. Zbl 1132.34005
März, Roswitha; Riaza, Ricardo
2007
PDAE models of integrated circuits and index analysis. Zbl 1123.78009
Bodestedt, Martin; Tischendorf, Caren
2007
Role of migratory bird population in a simple eco-epidemiological model. Zbl 1130.93305
2007
Modelling and multi-innovation parameter identification for Hammerstein nonlinear state space systems using the filtering technique. Zbl 1339.93106
Wang, Xuehai; Ding, Feng
2016
Parameter preserving model order reduction for MEMS applications. Zbl 1302.74063
Baur, U.; Benner, P.; Greiner, A.; Korvink, J. G.; Lienemann, J.; Moosmann, C.
2011
Stability analysis and model order reduction of coupled systems. Zbl 1137.93048
Reis, Timo; Stykel, Tatjana
2007
Modelling and simulation of transient noise in circuit simulation. Zbl 1117.93305
Denk, Georg; Winkler, Renate
2007
Thermomechanical modelling, nonlinear dynamics and chaos in shape memory oscillators. Zbl 1097.74528
Bernardini, Davide; Rega, Giuseppe
2005
Set-valued solutions to impulsive differential inclusions. Zbl 1122.49014
Filippova, Tatiana F.
2005
Modelling of piezoelectric structures-a Hamiltonian approach. Zbl 1154.93333
Schöberl, M.; Ennsbrunner, H.; Schlacher, K.
2008
Bond graph modelling for chemical reactors. Zbl 1135.93303
Couenne, F.; Jallut, C.; Maschke, B.; Breedveld, P. C.; Tayakout, M.
2006
Dynamics of multibody systems using virtual work and symbolic programming. Zbl 1033.70001
McPhee, J.; Shi, P.; Piedbœf, J.-C.
2002
Dynamical analysis and numerical simulation of a new Lorenz-type chaotic system. Zbl 1288.93064
Qiao, Zhiqin; Li, Xianyi
2014
A PDAE model for interconnected linear RLC networks. Zbl 1045.93005
Günther, M.
2001
Two-sided projection methods for model reduction of MIMO bilinear systems. Zbl 1305.93046
Wang, Xiao-Long; Jiang, Yao-Lin
2013
Port-based modelling of mass transport phenomena. Zbl 1169.93002
Baaiu, A.; Couenne, F.; Eberard, D.; Jallut, C.; Lefevre, L.; Legorrec, Y.; Maschke, B.
2009
Investigation of two-warehouse inventory problems in interval environment under inflation via particle swarm optimization. Zbl 1338.90023
Bhunia, Asoke Kumar; Shaikh, Ali Akbar
2016
Control by interconnection and energy shaping of the Timoshenko beam. Zbl 1076.93022
Macchelli, Alessandro; Melchiorri, Claudio
2004
Multi-parameter polynomial order reduction of linear finite element models. Zbl 1151.93013
Farle, Ortwin; Hill, Volker; Ingelström, Pär; Dyczij-Edlinger, Romanus
2008
Automated generation of LFT-based parametric uncertainty descriptions for generic aircraft models. Zbl 0925.93751
Varga, A.; Looye, G.; Moormann, D.; Grübel, G.
1998
Energy transport in semiconductor devices. Zbl 1298.35106
Jüngel, Ansgar
2010
Mathematical modelling for determining economic batch size and optimal number of deliveries for EPQ model with quality assurance. Zbl 1206.93005
Chiu, Yuan-Shyi Peter; Lin, Chih-An Katherine; Chang, Huei-Hsin; Chiu, Victoria
2010
Dynamic modelling of mechatronic multibody systems with symbolic computing and linear graph theory. Zbl 1145.70306
McPhee, John; Schmitke, Chad; Redmond, Scott
2004
Balanced model reduction of partially observed Langevin equations: an averaging principle. Zbl 1302.82081
Hartmann, Carsten
2011
Modelling for fault detection and isolation versus modelling for control. Zbl 0992.93004
Frank, P. M.; Alcorta Garcia, E.; Köppen-Seliger, B.
2001
A general predator-prey model. Zbl 1057.92053
Krabs, Werner
2003
Robust identification and control with time-varying parameter perturbations. Zbl 1060.93041
Ahmed-Ali, Tarek; Floret, Fabienne; Lamnabhi-Lagarrigue, Françoise
2004
TaskSelSim: a model of the self-organization of the division of labour in honeybees. Zbl 1148.92034
Schmickl, T.; Crailsheim, K.
2008
Krylov-based order reduction using Laguerre series expansion. Zbl 1151.93322
Eid, Rudy; Salimbahrami, Behnam; Lohmann, Boris
2008
Standard input data for FEM-MBS coupling: Importing alternative model reduction methods into SIMPACK. Zbl 1156.93324
Koutsovasilis, P.; Quarz, V.; Beitelschmidt, M.
2009
Modeling mechanical DAE using natural coordinates. Zbl 1060.70005
Kraus, C.; Winckler, M.; Bock, H. G.
2001
Balanced truncation model reduction for linear time-varying systems. Zbl 1417.93089
Lang, N.; Saak, J.; Stykel, T.
2016
Interface and model reduction for efficient explicit simulations – a case study with nonlinear vehicle crash models. Zbl 1348.93027
Fehr, Jörg; Holzwarth, Philip; Eberhard, Peter
2016
Modelling and analysis of a phytoplankton-zooplankton system with continuous and discrete time. Zbl 1348.93032
Kartal, S.; Kar, M.; Kartal, N.; Gurcan, F.
2016
Index-aware model order reduction for differential-algebraic equations. Zbl 1298.93096
Alì, G.; Banagaaya, N.; Schilders, W. H. A.; Tischendorf, C.
2014
Parametric model order reduction of thermal models using the bilinear interpolatory rational Krylov algorithm. Zbl 1310.93038
Bruns, Angelika; Benner, Peter
2015
First-order Hamiltonian field theory and mechanics. Zbl 1222.93109
Schöberl, Markus; Schlacher, Kurt
2011
Mathematical modelling and stability analysis for laser cutting. Zbl 1272.93023
Vossen, Georg; Schüttler, Jens
2012
On unifying concepts for trajectory-based slow invariant attracting manifold computation in kinetic multiscale models. Zbl 1342.34076
Lebiedz, D.; Unger, J.
2016
On the generation of timed discrete approximations for continuous systems. Zbl 0938.93569
Stursberg, O.; Kowalewski, S.; Engell, S.
2000
Coupling DAEs and PDEs for simulating the interaction of pantograph and catenary. Zbl 0952.93500
Simeon, B.; Arnold, M.
2000
Finite element modelling of moored vessels. Zbl 1005.93006
Aamo, O. M.; Fossen, T. I.
2001
Nonlinear model simplification using $$L_2$$-optimal bilinearization. Zbl 1088.93006
Deutscher, J.
2005
A two-sided Arnoldi algorithm with stopping criterion and MIMO selection procedure. Zbl 1112.65031
Salimbahrami, B.; Lohmann, B.; Bechtold, T.; Korvink, J. G.
2005
Interval parameter estimation under model uncertainty. Zbl 1122.93024
Nazin, Sergey A.; Polyak, Boris T.
2005
Dynamics and stability of a hybrid serial-parallel mobile robot. Zbl 1298.93242
Moosavian, S. Ali A.; Pourreza, Alireza; Alipour, Khalil
2010
Dimension reduction for second-order systems by general orthogonal polynomials. Zbl 1298.93100
Xiao, Zhi-Hua; Jiang, Yao-Lin
2014
Bond graph model-based system mode identification and mode-dependent fault thresholds for hybrid systems. Zbl 1298.93124
Borutzky, W.
2014
Estimation with missing data. Zbl 0940.93069
Goodwin, G. C.; Feuer, A.
1999
Modelling and analysis of the non-iterative coupling process for co-simulation. Zbl 1305.93025
Benedikt, Martin; Watzenig, Daniel; Hofer, Anton
2013
A behavioural approach to positive real interpolation. Zbl 1038.93004
Mayo, A. J.; Antoulas, A. C.
2002
Stability analysis of two linear distributed parameter bioprocess models. Zbl 0968.93037
Bourrel, S.; Dochain, D.
2000
Modelling fruit characteristics during apple maturation: a stochastic approach. Zbl 1097.62147
Scheerlinck, N.; Peirs, A.; Desmet, M.; Schenk, A.; Nicola, B. M.
2004
Modelling and experimental model validation for a pusher-type reheating furnace. Zbl 1169.93308
Wild, D.; Meurer, T.; Kugi, A.
2009
Optimal replenishment policy for manufacturing systems with failure in rework, backlogging and random breakdown. Zbl 1169.49037
Chiu, Singa Wang; Chen, Kuang-Ku; Yang, Jyh-Chau
2009
Optimal control of self-organized dynamics in cellular signal transduction. Zbl 1130.37041
Slaby, O.; Sager, S.; Shaik, O. S.; Kummer, U.; Lebiedz, D.
2007
Multiple steady state profiles in interconnected biological systems. Zbl 1126.92047
Dramé, A. K.; Harmand, J.; Rapaport, A.; Lobry, C.
2006
Fast and save container cranes as bilevel optimal control problems. Zbl 1275.49035
Knauer, Matthias
2012
Nonlinear systems parameter estimation using neural networks: application to synchronous machines. Zbl 1127.68078
Ahmed-Ali, Tarek; Kenné, Godpromesse; Lamnabhi-Lagarrigue, Françoise
2007
Port-Hamiltonian formulations of poroelastic network models. Zbl 1491.74020
Altmann, R.; Mehrmann, V.; Unger, B.
2021
A structured control model for the thermo-magneto-hydrodynamics of plasmas in tokamaks. Zbl 1339.93022
Vu, Ngoc Minh Trang; Lefèvre, Laurent; Maschke, Bernhard
2016
Modelling and verification using linear hybrid automata – a case study. Zbl 0938.93568
Müller, Olaf; Stauner, Thomas
2000
Models of pipelines in transient mode. Zbl 1005.93007
Matko, Drago; Geiger, Gerhard
2002
Stability-preserving parametric model reduction by matrix interpolation. Zbl 1302.93057
Eid, Rudy; Castañé-Selga, Rosa; Panzer, Heiko; Wolf, Thomas; Lohmann, Boris
2011
Comparison and combination of reduced-order modelling techniques in 3D parametrized heat transfer problems. Zbl 1302.80014
Gelsomino, Fabrizio; Rozza, Gianluigi
2011
Feedback methods for inverse simulation of dynamic models for engineering systems applications. Zbl 1302.93033
Murray-Smith, David J.
2011
Observer-controller design for three dimensional overhead cranes using time-scaling. Zbl 0996.93043
Giua, A.; Sanna, M.; Seatzu, C.
2001
Design of piecewise linear hybrid dynamical systems using a control regulator approach. Zbl 1087.93025
Koutsoukos, X.; Antsaklis, P.
2005
A Maple package for the calculus of variations based on jet manifolds. Zbl 1112.49002
Ennsbrunner, H.; Schlacher, K.
2005
Nonlinear oscillations of milling. Zbl 1122.74464
Balachandran, B.; Gilsinn, D.
2005
Structured SM identification of vehicle vertical dynamics. Zbl 1122.93323
Milanese, M.; Novara, C.; Pivano, L.
2005
Model inversion of boundary controlled parabolic partial differential equations using summability methods. Zbl 1154.93310
Meurer, T.; Zeitz, M.
2008
Modelling of general biotechnological processes. Zbl 1126.93311
Ilchmann, A.; Weirig, M.-F.
1999
Pelican at risk in Salton Sea – a delay-induced eco-epidemiological model. Zbl 1020.92030
2002
Structure preserving model order reduction of large sparse second-order index-1 systems and application to a mechatronics model. Zbl 1348.93025
Benner, Peter; Saak, Jens; Uddin, M. Monir
2016
Modelling, simulation and identification of a mobile concrete pump. Zbl 1310.93021
Henikl, J.; Kemmetmüller, W.; Bader, M.; Kugi, A.
2015
Application of least-squares techniques for induction motor parameters estimation. Zbl 1151.93407
Koubaa, Yassine
2006
Behavioral models for list decoding. Zbl 1042.94025
Kuijper, Margreta; Polderman, Jan Willem
2002
Optimal mathematical models for nonlinear dynamical systems. Zbl 1060.93011
Torokhti, Anatoli; Howlett, Phil; Pearce, Charles
2003
Memristive port-Hamiltonian systems. Zbl 1197.94232
Jeltsema, Dimitri; van der Schaft, Arjan J.
2010
Port-Hamiltonian formulations of poroelastic network models. Zbl 1491.74020
Altmann, R.; Mehrmann, V.; Unger, B.
2021
Oscillating stationary distributions of nanoclusters in an open system. Zbl 07505735
Matveev, S. A.; Sorokin, A. A.; Smirnov, A. P.; Tyrtyshnikov, E. E.
2020
Production and payment policies for an imperfect manufacturing system with discount cash flows analysis in fuzzy random environments. Zbl 1489.90003
Mahata, Puspita; Mahata, Gour Chandra
2020
Crisp and interval inventory models for ameliorating item with Weibull distributed amelioration and deterioration via different variants of quantum behaved particle swarm optimization-based techniques. Zbl 1486.90019
Mondal, Rajan; Shaikh, Ali Akbar; Bhunia, Asoke Kumar
2019
Nonlinear modeling and performance analysis of a closed-loop supply chain in the presence of stochastic noise. Zbl 1486.90007
2019
Quantum-computing with AI & blockchain: modelling, fault tolerance and capacity scheduling. Zbl 1487.81040
Dai, Wanyang
2019
An ordering policy for deteriorating items with price-dependent iso-elastic demand under permissible delay in payments and price inflation. Zbl 1486.90017
Mahata, Puspita; Mahata, Gour Chandra; Mukherjee, Avik
2019
An integer-valued bilinear time series model via two random operators. Zbl 07484634
Mohammadpour, M.; Bakouch, Hassan S.; Ramzani, S.
2019
$$H_2$$ optimal model order reduction on the Stiefel manifold for the MIMO discrete system by the cross Gramian. Zbl 1485.93105
Wang, Wei-Gang; Jiang, Yao-Lin
2018
Distributed port-Hamiltonian modelling for irreversible processes. Zbl 1485.93213
Zhou, W.; Hamroun, B.; Couenne, F.; Le Gorrec, Y.
2017
Tangential interpolation-based eigensystem realization algorithm for MIMO systems. Zbl 1348.93132
Kramer, B.; Gugercin, S.
2016
Modelling and multi-innovation parameter identification for Hammerstein nonlinear state space systems using the filtering technique. Zbl 1339.93106
Wang, Xuehai; Ding, Feng
2016
Investigation of two-warehouse inventory problems in interval environment under inflation via particle swarm optimization. Zbl 1338.90023
Bhunia, Asoke Kumar; Shaikh, Ali Akbar
2016
Balanced truncation model reduction for linear time-varying systems. Zbl 1417.93089
Lang, N.; Saak, J.; Stykel, T.
2016
Interface and model reduction for efficient explicit simulations – a case study with nonlinear vehicle crash models. Zbl 1348.93027
Fehr, Jörg; Holzwarth, Philip; Eberhard, Peter
2016
Modelling and analysis of a phytoplankton-zooplankton system with continuous and discrete time. Zbl 1348.93032
Kartal, S.; Kar, M.; Kartal, N.; Gurcan, F.
2016
On unifying concepts for trajectory-based slow invariant attracting manifold computation in kinetic multiscale models. Zbl 1342.34076
Lebiedz, D.; Unger, J.
2016
A structured control model for the thermo-magneto-hydrodynamics of plasmas in tokamaks. Zbl 1339.93022
Vu, Ngoc Minh Trang; Lefèvre, Laurent; Maschke, Bernhard
2016
Structure preserving model order reduction of large sparse second-order index-1 systems and application to a mechatronics model. Zbl 1348.93025
Benner, Peter; Saak, Jens; Uddin, M. Monir
2016
Detecting structural changes with ARMA processes. Zbl 1348.93243
Ostermann, A.; Spielberger, G.; Tributsch, A.
2016
Modelling and simulation of heat exchange and moisture content in a cereal storage silo. Zbl 1339.93018
Hammami, F.; Ben Mabrouk, S.; Mami, A.
2016
A POD-EIM reduced two-scale model for precipitation in porous media. Zbl 1348.93064
Redeker, M.; Haasdonk, B.
2016
Approximate bond graph models for linear singularly perturbed systems. Zbl 1348.93193
2016
A mathematical model for pantograph-catenary interaction. Zbl 1348.93034
Oumri, M.; Rachid, A.
2016
Forest fire modelling using cellular automata: application to the watershed Oued Laou (Morocco). Zbl 1348.93030
Jellouli, O.; Bernoussi, A.; Mâatouk, M.; Amharref, M.
2016
Parametric model order reduction of thermal models using the bilinear interpolatory rational Krylov algorithm. Zbl 1310.93038
Bruns, Angelika; Benner, Peter
2015
Modelling, simulation and identification of a mobile concrete pump. Zbl 1310.93021
Henikl, J.; Kemmetmüller, W.; Bader, M.; Kugi, A.
2015
Review on contact simulation of beveloid and cycloid gears and application of a modern approach to treat deformations. Zbl 1335.93092
Do, Trong Phu; Ziegler, Pascal; Eberhard, Peter
2015
On the efficiency of hurdle rate-based coordination mechanisms. Zbl 1411.91608
Leitner, S.; Behrens, D. A.
2015
Mathematical analysis of an influenza epidemic model, formulation of different controlling strategies using optimal control and estimation of basic reproduction number. Zbl 1335.93143
2015
Structure-preserving model order reduction based on Laguerre-SVD for coupled systems. Zbl 1333.93065
Qi, Zhen-Zhong; Jiang, Yao-Lin; Xiao, Zhi-Hua
2015
A procedure to linearize a class of non-linear systems modelled by bond graphs. Zbl 1310.93039
Avalos, Gilberto Gonzalez; Orozco, Rene Galindo
2015
An approach to benchmarking of loosely coupled low-cost navigation systems. Zbl 1310.93019
González, R.; Giribet, J. I.; Patiño, H. D.
2015
Dynamical analysis and numerical simulation of a new Lorenz-type chaotic system. Zbl 1288.93064
Qiao, Zhiqin; Li, Xianyi
2014
Index-aware model order reduction for differential-algebraic equations. Zbl 1298.93096
Alì, G.; Banagaaya, N.; Schilders, W. H. A.; Tischendorf, C.
2014
Dimension reduction for second-order systems by general orthogonal polynomials. Zbl 1298.93100
Xiao, Zhi-Hua; Jiang, Yao-Lin
2014
Bond graph model-based system mode identification and mode-dependent fault thresholds for hybrid systems. Zbl 1298.93124
Borutzky, W.
2014
Model order reduction for numerical simulation of particle transport based on numerical integration approaches. Zbl 1298.93098
Geiser, Jürgen
2014
Patient-specific model of lung deformation using spatially dependent constitutive parameters. Zbl 1298.93052
Ilegbusi, Olusegun J.; Seyfi, Behnaz; Salvin, Rafael
2014
Object-oriented modelling of general flexible multibody systems. Zbl 1288.93016
Ferretti, Gianni; Leva, Alberto; Scaglioni, Bruno
2014
Non-linear friction modelling and simulation of long pneumatic transmission lines. Zbl 1288.93017
Krichel, Susanne V.; Sawodny, Oliver
2014
Inverse simulation and analysis of underwater vehicle dynamics using feedback principles. Zbl 1288.93019
Murray-Smith, David J.
2014
Nonlinear model-predictive control with hysteresis compensation of an electro-pneumatic clutch for truck applications. Zbl 1288.93041
Schindele, Dominik; Aschemann, Harald; Prabel, Robert
2014
Lattice Boltzmann method as a computational framework for multiscale haemodynamics. Zbl 1328.92022
Pontrelli, Giuseppe; Halliday, Ian; Melchionna, Simone; Spencer, Tim J.; Succi, Sauro
2014
Integrodifferential approaches to frequency analysis and control design for compressible fluid flow in a pipeline element. Zbl 1302.76160
Kostin, Georgy; Saurin, Vasily; Aschemann, Harald; Rauh, Andreas
2014
Reduced-order modelling of self-excited, time-periodic systems using the method of proper orthogonal decomposition and the Floquet theory. Zbl 1302.70014
Pumhössel, T.; Hehenberger, P.; Zeman, K.
2014
An improved numerical method for balanced truncation for symmetric second-order systems. Zbl 1305.93043
Benner, Peter; Kürschner, Patrick; Saak, Jens
2013
Two-sided projection methods for model reduction of MIMO bilinear systems. Zbl 1305.93046
Wang, Xiao-Long; Jiang, Yao-Lin
2013
Modelling and analysis of the non-iterative coupling process for co-simulation. Zbl 1305.93025
Benedikt, Martin; Watzenig, Daniel; Hofer, Anton
2013
Nonlinear hydro turbine model having a surge tank. Zbl 1278.93045
Zeng, Yun; Guo, Yakun; Zhang, Lixiang; Xu, Tianmao; Dong, Hongkui
2013
Modelling and control of flexible joint robot based on Takagi-Sugeno fuzzy approach and its stability analysis via sum of squares. Zbl 1278.93035
2013
Combining differential evolution and particle swarm optimization to tune and realize fractional-order controllers. Zbl 1278.93116
Maione, Guido; Punzi, Antonio
2013
Modelling of glioblastoma growth by linking a molecular interaction network with an agent-based model. Zbl 1330.92059
Schuetz, Tina A.; Becker, Stefan; Mang, Andreas; Toma, Alina; Buzug, Thorsten M.
2013
Fractional behaviour of partial differential equations whose coefficients are exponential functions of the space variable. Zbl 1310.34010
Sabatier, J.; Nguyen, H. C.; Moreau, X.; Oustaloup, A.
2013
Quasi-steady state model determination for systems with singular perturbations modelled by bond graphs. Zbl 1305.93028
Avalos, Gilberto Gonzalez; Gallegos, Noe Barrera
2013
Incremental optimal process excitation for online system identification based on evolving local model networks. Zbl 1305.93056
Hametner, Christoph; Stadlbauer, Markus; Deregnaucourt, Maxime; Jakubek, Stefan
2013
Non-linear earthquake response of CFR DAM-reservoir-foundation systems. Zbl 1302.86018
Kartal, Murat Emre; Bayraktar, Alemdar
2013
Novel method of virtual embryogenesis for structuring artificial neural network controllers. Zbl 1305.93158
Thenius, Ronald; Bodi, Michael; Schmickl, Thomas; Crailsheim, Karl
2013
Dynamic decision-making for an inventory system with time-varying demand. Zbl 1304.90045
Tsao, Yu-Chung; Liao, Lu-Wen; Sun, Pi-Chuan
2013
Centralized Bayesian reliability modelling with sensor networks. Zbl 1304.90074
Dedecius, K.; Sečkárová, V.
2013
A novel recursive subspace identification approach of closed-loop systems. Zbl 1305.93058
Wang, Jia; Wang, Hong-Wei; Gu, Hong
2013
The application of parameter sensitivity analysis methods to inverse simulation models. Zbl 1278.93075
Murray-Smith, David J.
2013
Modelling and long-term simulation of a heat recovery steam generator. Zbl 1277.93008
Chaibakhsh, Ali
2013
Evaluation and enhancement of dynamic performance of a microgrid including PV and wind generation systems. Zbl 1278.93038
Rahim, A. H. M. A.; Hussain, M. T.
2013
Mathematical modelling and stability analysis for laser cutting. Zbl 1272.93023
Vossen, Georg; Schüttler, Jens
2012
Fast and save container cranes as bilevel optimal control problems. Zbl 1275.49035
Knauer, Matthias
2012
Techniques for grounding agent-based simulations in the real domain: a case study in experimental autoimmune encephalomyelitis. Zbl 1251.93014
Read, Mark; Andrews, Paul S.; Timmis, Jon; Kumar, Vipin
2012
An $$\varepsilon$$-embedding model-order reduction approach for differential-algebraic equation systems. Zbl 1251.93042
Chen, Chun-Yue; Jiang, Yao-Lin; Chen, Hai-Bao
2012
ARMA model order and parameter estimation using genetic algorithms. Zbl 1251.93120
2012
The optimization of lot sizing with supplier selection problem in multi-echelon defective supply chain network. Zbl 1251.93024
Şenyiğit, Ercan
2012
Grey-box modelling of a viscose-fibre drying process. Zbl 1251.93023
Schuster, Alexander; Kozek, Martin; Voglauer, Bernhard; Voigt, Andreas
2012
Parameter identification and observer-based control for distributed heating systems - the basis for temperature control of solid oxide fuel cell stacks. Zbl 1272.93044
Rauh, Andreas; Aschemann, Harald
2012
Effect of change point and imperfect debugging in software reliability and its optimal release policy. Zbl 1272.93106
2012
The ’common stomach’ as information source for the regulation of construction behaviour of the swarm. Zbl 1251.93011
Karsai, Istvan; Runciman, Andrew
2012
Finding optimal collective strategies using individual-based simulations: colony organization in social insects. Zbl 1251.93018
Dornhaus, Anna
2012
Specialization and generalization of robot behaviour in swarm energy foraging. Zbl 1251.93012
Kernbach, Serge; Nepomnyashchikh, Valentin A.; Kancheva, Tanya; Kernbach, Olga
2012
Bond graph modelling of marine power systems. Zbl 1255.93022
Pedersen, Tom Arne; Pedersen, Eilif
2012
An extended event graph-based modelling method for parallel and distributed discrete-event simulation. Zbl 1251.93081
Xia, Wei; Yao, Yiping; Mu, Xiaodong
2012
Optimal control for a simplified 1D fuel cell model. Zbl 1273.49037
Rund, Armin; Chudej, Kurt
2012
Modelling of lateral dynamics for an endless metal process belt. Zbl 1272.93021
Schulmeister, Klemens G.; Kozek, Martin
2012
A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space. Zbl 1302.65221
Haasdonk, Bernard; Dihlmann, Markus; Ohlberger, Mario
2011
Efficient reduced models and a posteriori error estimation for parametrized dynamical systems by offline/online decomposition. Zbl 1230.37110
Haasdonk, Bernard; Ohlberger, Mario
2011
Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media. Zbl 1302.76127
Chaturantabut, Saifon; Sorensen, Danny C.
2011
An $$hp$$ certified reduced basis method for parametrized parabolic partial differential equations. Zbl 1302.65223
Eftang, Jens L.; Knezevic, David J.; Patera, Anthony T.
2011
Efficient balancing-based MOR for large-scale second-order systems. Zbl 1221.93039
Benner, Peter; Saak, Jens
2011
Comparison of the reduced-basis and POD a posteriori error estimators for an elliptic linear-quadratic optimal control problem. Zbl 1302.49045
Tonn, Timo; Urban, K.; Volkwein, S.
2011
A continuum-mechanics interpretation of Reissner’s nonlinear shear-deformable beam theory. Zbl 1421.74056
Irschik, Hans; Gerstmayr, Johannes
2011
Parameter preserving model order reduction for MEMS applications. Zbl 1302.74063
Baur, U.; Benner, P.; Greiner, A.; Korvink, J. G.; Lienemann, J.; Moosmann, C.
2011
Balanced model reduction of partially observed Langevin equations: an averaging principle. Zbl 1302.82081
Hartmann, Carsten
2011
First-order Hamiltonian field theory and mechanics. Zbl 1222.93109
Schöberl, Markus; Schlacher, Kurt
2011
Stability-preserving parametric model reduction by matrix interpolation. Zbl 1302.93057
Eid, Rudy; Castañé-Selga, Rosa; Panzer, Heiko; Wolf, Thomas; Lohmann, Boris
2011
Comparison and combination of reduced-order modelling techniques in 3D parametrized heat transfer problems. Zbl 1302.80014
Gelsomino, Fabrizio; Rozza, Gianluigi
2011
Feedback methods for inverse simulation of dynamic models for engineering systems applications. Zbl 1302.93033
Murray-Smith, David J.
2011
Flatness-based control of a horizontally moving erected beam with a point mass. Zbl 1419.74176
Bachmayer, Mathias; Ulbrich, Heinz; Rudolph, Joachim
2011
Geometric pseudospectral method for spatial integration of dynamical systems. Zbl 1225.37080
Moulla, Redha; Lefèvre, Laurent; Maschke, Bernhard
2011
Passivity preserving parametric model-order reduction for non-affine parameters. Zbl 1221.93040
Farle, Ortwin; Burgard, Stefan; Dyczij-Edlinger, Romanus
2011
Model order reduction and error estimation with an application to the parameter-dependent eddy current equation. Zbl 1303.93052
Jung, Nadine; Patera, Anthony T.; Haasdonk, Bernard; Lohmann, Boris
2011
A dynamical model for describing behavioural interventions for weight loss and body composition change. Zbl 1218.91143
Navarro-Barrientos, J.-Emeterio; Rivera, Daniel E.; Collins, Linda M.
2011
Modelling a hormone-inspired controller for individual- and multi-modular robotic systems. Zbl 1222.93158
Schmickl, Thomas; Hamann, Heiko; Crailsheim, Karl
2011
Guest editorial: Special issue on “Model order reduction of parameterized problems”. Zbl 1298.00140
2011
...and 186 more Documents
all top 5

### Cited by 1,985 Authors

 38 Benner, Peter 21 Jiang, Yaolin 14 Haasdonk, Bernard 13 Saak, Jens 10 Kotta, Ulle 10 Rigatos, Gerasimos G. 9 Algaba, Antonio 9 Chattopadhyay, Joydev 9 Chung, Kwok-Wai 9 Eberhard, Peter 9 Meijer, Hil G. E. 9 Qin, Bo-Wei 9 Rodríguez-Luis, Alejandro J. 8 Bassanezi, Rodney Carlos 8 März, Roswitha 8 Maschke, Bernhard M. 8 Stykel, Tatjana 8 Willcox, Karen E. 7 De Barros, Laécio Carvalho 7 Feng, Lihong 7 Gugercin, Serkan 7 Kugi, Andreas 7 Kürschner, Patrick 7 Ohlberger, Mario 7 Peherstorfer, Benjamin 7 Rozza, Gianluigi 7 Schlacher, Kurt 7 Schöberl, Markus 7 Xiao, Zhihua 6 Alì, Giuseppe 6 Cecconello, Moiseis S. 6 Efendiev, Yalchin R. 6 Fehr, Jörg 6 Lohmann, Boris 6 Mehrmann, Volker 6 Scarabel, Francesca 5 Amsallem, David 5 Breiten, Tobias 5 Chaturantabut, Saifon 5 Kuznetsov, Yuri Alexandrovich 5 Lefèvre, Laurent 5 Mondal, Sankar Prasad 5 Riaza, Ricardo 5 Scherpen, Jacquelien M. A. 5 Schmickl, Thomas 5 Schweizer, Bernhard 5 Uddin, Mohammad Monir 5 Wang, Xiaolong 5 Weinmüller, Ewa B. 5 Xu, Kangli 5 Zinober, Alan Solon Ivor 4 Antoulas, Athanasios C. 4 Banagaaya, Nicodemus 4 Beattie, Christopher A. 4 Chatterjee, Samrat 4 Chung, Tsz Shun Eric 4 Diekmann, Odo 4 Ding, Feng 4 Erhardt, André 4 Estévez Schwarz, Diana 4 Filippova, Tat’yana Fëdorovna 4 Gao, Shujing 4 Gyllenberg, Mats 4 Holzwarth, Philip 4 Ilchmann, Achim 4 Krämer, Boris 4 Kühn, Christian 4 Kumar Upadhyay, Ranjit 4 Lamour, René 4 Li, Xianyi 4 Lu, Daixing 4 Manzoni, Andrea 4 McPhee, John J. 4 Meurer, Thomas 4 Murray-Smith, David J. 4 Schulze, Philipp 4 Siano, Pierluigi 4 Simeon, Bernd 4 Son, Nguyen Thanh 4 Venturino, Ezio 4 Volkwein, Stefan 3 Abbaszadeh, Masoud 3 Ahmadian, Ali 3 Akbarzadeh, Alireza 3 Allahviranloo, Tofigh 3 Bakri, Taoufik 3 Beitelschmidt, Michael 3 Belikov, Juri 3 Breda, Dimitri 3 Cárdenas-Barrón, Leopoldo Eduardo 3 Chalco-Cano, Yurilev 3 Chen-Charpentier, Benito M. 3 Chen, Chunyue 3 Chen, Minghao 3 Chiu, Yuanshyi Peter 3 Couenne, Françoise 3 Desmet, Wim 3 Deutscher, Joachim 3 Dihlmann, Markus A. 3 Eskandari, Zohreh ...and 1,885 more Authors
all top 5

### Cited in 222 Journals

 112 Mathematical and Computer Modelling of Dynamical Systems 35 Automatica 31 Multibody System Dynamics 30 International Journal of Control 24 Mathematics and Computers in Simulation 23 Computer Methods in Applied Mechanics and Engineering 18 Journal of Computational Physics 18 Journal of the Franklin Institute 16 Nonlinear Dynamics 15 Applied Mathematics and Computation 15 Fuzzy Sets and Systems 15 International Journal for Numerical Methods in Engineering 15 Systems & Control Letters 15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 15 SIAM Journal on Scientific Computing 14 Applied Numerical Mathematics 14 Mathematical Problems in Engineering 13 Journal of Computational and Applied Mathematics 13 Applied Mathematical Modelling 13 Advances in Computational Mathematics 13 Journal of Theoretical Biology 12 Chaos, Solitons and Fractals 11 European Journal of Control 11 SIAM Journal on Applied Dynamical Systems 10 Acta Mechanica 10 Physica D 10 Journal of Scientific Computing 10 Linear Algebra and its Applications 9 Communications in Nonlinear Science and Numerical Simulation 8 Journal of Mathematical Biology 8 Bulletin of Mathematical Biology 8 International Journal of Applied Mathematics and Computer Science 7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 7 Journal of Applied Mathematics 7 Advances in Difference Equations 6 Computers & Mathematics with Applications 6 Information Sciences 6 Nonlinear Analysis. Real World Applications 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 International Journal of Applied and Computational Mathematics 5 International Journal of Systems Science 5 Mathematical Biosciences 5 Applied Mathematics Letters 5 Mathematical and Computer Modelling 5 SIAM Journal on Matrix Analysis and Applications 5 International Journal of Adaptive Control and Signal Processing 5 Computational and Applied Mathematics 5 Soft Computing 5 Chaos 5 International Journal of Biomathematics 5 Journal of Computational Dynamics 4 Mathematics of Computation 4 Optimal Control Applications & Methods 4 Circuits, Systems, and Signal Processing 4 Annals of Operations Research 4 Automation and Remote Control 4 International Journal of Robust and Nonlinear Control 4 Journal of Computational Neuroscience 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Discrete Dynamics in Nature and Society 4 GAMM-Mitteilungen 4 Proceedings of the Steklov Institute of Mathematics 4 International Journal of Systems Science. Principles and Applications of Systems and Integration 3 Physica A 3 BIT 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 SIAM Journal on Numerical Analysis 3 Computational Mechanics 3 COMPEL 3 Numerical Methods for Partial Differential Equations 3 Multidimensional Systems and Signal Processing 3 European Journal of Operational Research 3 Journal of Nonlinear Science 3 Journal of Mathematical Chemistry 3 Computational Geosciences 3 Journal of Biological Systems 3 Optimization and Engineering 3 Journal of Intelligent and Fuzzy Systems 3 Thai Journal of Mathematics 3 Acta Mechanica Sinica 3 Nonlinear Analysis. Hybrid Systems 3 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Control Science and Engineering 3 Asian Journal of Control 3 Journal of Applied Nonlinear Dynamics 3 SIAM/ASA Journal on Uncertainty Quantification 2 Biological Cybernetics 2 International Journal of Solids and Structures 2 Journal of Fluid Mechanics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Kybernetika 2 SIAM Journal on Control and Optimization 2 Theoretical Computer Science 2 International Journal of Approximate Reasoning 2 MCSS. Mathematics of Control, Signals, and Systems 2 Discrete Event Dynamic Systems 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Numerical Algorithms ...and 122 more Journals
all top 5

### Cited in 42 Fields

 374 Systems theory; control (93-XX) 282 Numerical analysis (65-XX) 191 Ordinary differential equations (34-XX) 174 Biology and other natural sciences (92-XX) 115 Partial differential equations (35-XX) 85 Dynamical systems and ergodic theory (37-XX) 85 Mechanics of particles and systems (70-XX) 75 Operations research, mathematical programming (90-XX) 72 Mechanics of deformable solids (74-XX) 56 Computer science (68-XX) 51 Calculus of variations and optimal control; optimization (49-XX) 51 Fluid mechanics (76-XX) 33 Probability theory and stochastic processes (60-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 23 Optics, electromagnetic theory (78-XX) 20 Information and communication theory, circuits (94-XX) 19 Statistics (62-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Classical thermodynamics, heat transfer (80-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Difference and functional equations (39-XX) 9 Approximations and expansions (41-XX) 9 Geophysics (86-XX) 8 Combinatorics (05-XX) 8 Operator theory (47-XX) 7 Mathematical logic and foundations (03-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 4 History and biography (01-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 3 Associative rings and algebras (16-XX) 3 Special functions (33-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Mathematics education (97-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Differential geometry (53-XX)