Compute Distance To:
 Documents Indexed: 48 Publications since 2000 Co-Authors: 17 Co-Authors with 37 Joint Publications 713 Co-Co-Authors
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### Co-Authors

 2 single-authored 13 Cockburn, Bernardo 11 Demkowicz, Leszek F. 7 Pasciak, Joseph E. 4 Schöberl, Joachim 3 Guzmán, Johnny 3 Nguyen, Ngoc Cuong 2 Copeland, Dylan Matthew 2 Gemmrich, S. 2 Kanschat, Guido 2 Li, Fengyan 2 Muga, Ignacio 2 Nigam, Nilima 2 Sayas, Francisco-Javier 2 Tan, Shuguang 1 Barker, Andrew T. 1 Carstensen, Carsten 1 Dobrev, Veselin A. 1 Dobson, David C. 1 García-Castillo, Luis-Emilio 1 Grosek, Jacob 1 Kolev, Tzanio V. 1 Lazarov, Raytcho D. 1 Nagaraj, Sriram 1 Neumüller, Martin 1 Oh, Minah 1 Olivares, N. 1 Pardo, David 1 Parker, B. Q. 1 Peraire, Jaume 1 VandenBerge, P. 1 Vassilevski, Panayot Spirov 1 Wang, Haiying 1 Wintersteiger, Christoph M. 1 Zitelli, J.
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### Serials

 15 SIAM Journal on Numerical Analysis 10 Mathematics of Computation 4 Computer Methods in Applied Mechanics and Engineering 3 SIAM Journal on Scientific Computing 2 Computers & Mathematics with Applications 2 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Wave Motion 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 Numerical Linear Algebra with Applications 1 East-West Journal of Numerical Mathematics 1 Computational Methods in Applied Mathematics 1 GAMM-Mitteilungen
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### Fields

 45 Numerical analysis (65-XX) 26 Partial differential equations (35-XX) 12 Optics, electromagnetic theory (78-XX) 7 Fluid mechanics (76-XX) 3 Functional analysis (46-XX) 3 Mechanics of deformable solids (74-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX)

### Citations contained in zbMATH Open

45 Publications have been cited 1,684 times in 813 Documents Cited by Year
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho
2009
A projection-based error analysis of HDG methods. Zbl 1197.65173
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Sayas, Francisco-Javier
2010
Analysis of HDG methods for Stokes flow. Zbl 1410.76164
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Nguyen, Ngoc Cuong; Peraire, Jaume; Sayas, Francisco-Javier
2011
Analysis of the DPG method for the Poisson equation. Zbl 1237.65122
Demkowicz, L.; Gopalakrishnan, J.
2011
Breaking spaces and forms for the DPG method and applications including Maxwell equations. Zbl 1359.65249
Carstensen, C.; Demkowicz, L.; Gopalakrishnan, J.
2016
A multilevel discontinuous Galerkin method. Zbl 1044.65084
Gopalakrishnan, J.; Kanschat, G.
2003
A characterization of hybridized mixed methods for second order elliptic problems. Zbl 1084.65113
2004
A new elasticity element made for enforcing weak stress symmetry. Zbl 1369.74078
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Guzmán, Johnny
2010
The derivation of hybridizable discontinuous Galerkin methods for Stokes flow. Zbl 1279.76016
2009
A second elasticity element using the matrix bubble. Zbl 1232.74101
Gopalakrishnan, J.; Guzmán, J.
2012
Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation. Zbl 1243.76059
Demkowicz, Leszek F.; Gopalakrishnan, Jayadeep; Muga, Ignacio; Zitelli, J.
2012
Incompressible finite elements via hybridization. I: The Stokes system in two space dimensions. Zbl 1145.76402
2005
Symmetric nonconforming mixed finite elements for linear elasticity. Zbl 1237.74174
Gopalakrishnan, J.; Guzmán, J.
2011
Locally conservative fluxes for the continuous Galerkin method. Zbl 1155.65100
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Wang, Haiying
2007
Analysis of a multigrid algorithm for time harmonic Maxwell equations. Zbl 1079.78025
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.; Demkowicz, Leszek F.
2004
Multigrid for an HDG method. Zbl 1304.65260
Cockburn, B.; Dubois, O.; Gopalakrishnan, J.; Tan, S.
2014
Incompressible finite elements via hybridization. II: The Stokes system in three space dimensions. Zbl 1145.76403
2005
Error analysis of variable degree mixed methods for elliptic problems via hybridization. Zbl 1078.65093
2005
Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations. Zbl 1009.78009
2003
The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations. Zbl 1119.65106
2006
Polynomial extension operators. III. Zbl 1252.46022
Demkowicz, L.; Gopalakrishnan, J.; Schöberl, J.
2012
A spacetime DPG method for the Schrödinger equation. Zbl 1369.65122
Demkowicz, L.; Gopalakrishnan, J.; Nagaraj, S.; Sepúlveda, P.
2017
A Schwarz preconditioner for a hybridized mixed method. Zbl 1039.65081
2003
Multigrid for the mortar finite element method. Zbl 0951.65134
2000
A mixed method for axisymmetric div-curl systems. Zbl 1202.78027
Copeland, Dylan M.; Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
2008
Dispersive and dissipative errors in the DPG method with scaled norms for Helmholtz equation. Zbl 1290.65113
Gopalakrishnan, J.; Muga, I.; Olivares, N.
2014
Polynomial extension operators. I. Zbl 1189.46025
Demkowicz, Leszek; Gopalakrishnan, Jayadeep; Schöberl, Joachim
2008
New hybridization techniques. Zbl 1177.65171
2005
An efficient method for band structure calculations in 3D photonic crystals. Zbl 1034.78013
Dobson, David C.; Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
2000
Polynomial extension operators. II. Zbl 1208.46030
Demkowicz, Leszek; Gopalakrishnan, Jayadeep; Schöberl, Joachim
2009
A convergent multigrid cycle for the hybridized mixed method. Zbl 1224.65290
2009
Nédélec spaces in affine coordinates. Zbl 1078.65103
Gopalakrishnan, J.; García-Castillo, L. E.; Demkowicz, L. F.
2005
Multigrid in a weighted space arising from axisymmetric electromagnetics. Zbl 1198.78010
Copeland, Dylan M.; Gopalakrishnan, Jayadeep; Oh, Minah
2010
Hybridization and postprocessing techniques for mixed eigenfunctions. Zbl 1220.65159
Cockburn, B.; Gopalakrishnan, J.; Li, F.; Nguyen, N.-C.; Peraire, J.
2010
Mapped tent pitching schemes for hyperbolic systems. Zbl 1378.65166
Gopalakrishnan, J.; Schöberl, J.; Wintersteiger, C.
2017
Commuting smoothed projectors in weighted norms with an application to axisymmetric Maxwell equations. Zbl 1252.78029
Gopalakrishnan, J.; Oh, M.
2012
Quasioptimality of some spectral mixed methods. Zbl 1051.78020
2004
Spectral approximations by the HDG method. Zbl 1311.65137
Gopalakrishnan, J.; Li, F.; Nguyen, N.-C.; Peraire, J.
2015
Integration of $$hp$$-adaptivity and a two-grid solver for electromagnetic problems. Zbl 1131.78009
Pardo, D.; Demkowicz, L.; Gopalakrishnan, J.
2006
A scalable preconditioner for a primal discontinuous Petrov-Galerkin method. Zbl 1448.65213
Barker, A. T.; Dobrev, V.; Gopalakrishnan, J.; Kolev, T.
2018
Multigrid convergence for second-order elliptic problems with smooth complex coefficients. Zbl 1194.65134
Gopalakrishnan, J.; Pasciak, J. E.
2008
The auxiliary space preconditioner for the de Rham complex. Zbl 1402.65017
Gopalakrishnan, J.; Neumüller, M.; Vassilevski, P. S.
2018
Simulation of optical fiber amplifier gain using equivalent short fibers. Zbl 1441.78002
Drake, D.; Gopalakrishnan, J.; Goswami, T.; Grosek, J.
2020
The performance of a multigrid algorithm for the acoustic single layer equation. Zbl 1391.65180
Gemmrich, S.; Gopalakrishnan, J.; Nigam, N.
2008
Multilevel preconditioners for the interior penalty method. Zbl 1043.65067
Gopalakrishnan, J.; Kanschat, G.
2003
Simulation of optical fiber amplifier gain using equivalent short fibers. Zbl 1441.78002
Drake, D.; Gopalakrishnan, J.; Goswami, T.; Grosek, J.
2020
A scalable preconditioner for a primal discontinuous Petrov-Galerkin method. Zbl 1448.65213
Barker, A. T.; Dobrev, V.; Gopalakrishnan, J.; Kolev, T.
2018
The auxiliary space preconditioner for the de Rham complex. Zbl 1402.65017
Gopalakrishnan, J.; Neumüller, M.; Vassilevski, P. S.
2018
A spacetime DPG method for the Schrödinger equation. Zbl 1369.65122
Demkowicz, L.; Gopalakrishnan, J.; Nagaraj, S.; Sepúlveda, P.
2017
Mapped tent pitching schemes for hyperbolic systems. Zbl 1378.65166
Gopalakrishnan, J.; Schöberl, J.; Wintersteiger, C.
2017
Breaking spaces and forms for the DPG method and applications including Maxwell equations. Zbl 1359.65249
Carstensen, C.; Demkowicz, L.; Gopalakrishnan, J.
2016
Spectral approximations by the HDG method. Zbl 1311.65137
Gopalakrishnan, J.; Li, F.; Nguyen, N.-C.; Peraire, J.
2015
Multigrid for an HDG method. Zbl 1304.65260
Cockburn, B.; Dubois, O.; Gopalakrishnan, J.; Tan, S.
2014
Dispersive and dissipative errors in the DPG method with scaled norms for Helmholtz equation. Zbl 1290.65113
Gopalakrishnan, J.; Muga, I.; Olivares, N.
2014
A second elasticity element using the matrix bubble. Zbl 1232.74101
Gopalakrishnan, J.; Guzmán, J.
2012
Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation. Zbl 1243.76059
Demkowicz, Leszek F.; Gopalakrishnan, Jayadeep; Muga, Ignacio; Zitelli, J.
2012
Polynomial extension operators. III. Zbl 1252.46022
Demkowicz, L.; Gopalakrishnan, J.; Schöberl, J.
2012
Commuting smoothed projectors in weighted norms with an application to axisymmetric Maxwell equations. Zbl 1252.78029
Gopalakrishnan, J.; Oh, M.
2012
Analysis of HDG methods for Stokes flow. Zbl 1410.76164
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Nguyen, Ngoc Cuong; Peraire, Jaume; Sayas, Francisco-Javier
2011
Analysis of the DPG method for the Poisson equation. Zbl 1237.65122
Demkowicz, L.; Gopalakrishnan, J.
2011
Symmetric nonconforming mixed finite elements for linear elasticity. Zbl 1237.74174
Gopalakrishnan, J.; Guzmán, J.
2011
A projection-based error analysis of HDG methods. Zbl 1197.65173
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Sayas, Francisco-Javier
2010
A new elasticity element made for enforcing weak stress symmetry. Zbl 1369.74078
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Guzmán, Johnny
2010
Multigrid in a weighted space arising from axisymmetric electromagnetics. Zbl 1198.78010
Copeland, Dylan M.; Gopalakrishnan, Jayadeep; Oh, Minah
2010
Hybridization and postprocessing techniques for mixed eigenfunctions. Zbl 1220.65159
Cockburn, B.; Gopalakrishnan, J.; Li, F.; Nguyen, N.-C.; Peraire, J.
2010
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho
2009
The derivation of hybridizable discontinuous Galerkin methods for Stokes flow. Zbl 1279.76016
2009
Polynomial extension operators. II. Zbl 1208.46030
Demkowicz, Leszek; Gopalakrishnan, Jayadeep; Schöberl, Joachim
2009
A convergent multigrid cycle for the hybridized mixed method. Zbl 1224.65290
2009
A mixed method for axisymmetric div-curl systems. Zbl 1202.78027
Copeland, Dylan M.; Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
2008
Polynomial extension operators. I. Zbl 1189.46025
Demkowicz, Leszek; Gopalakrishnan, Jayadeep; Schöberl, Joachim
2008
Multigrid convergence for second-order elliptic problems with smooth complex coefficients. Zbl 1194.65134
Gopalakrishnan, J.; Pasciak, J. E.
2008
The performance of a multigrid algorithm for the acoustic single layer equation. Zbl 1391.65180
Gemmrich, S.; Gopalakrishnan, J.; Nigam, N.
2008
Locally conservative fluxes for the continuous Galerkin method. Zbl 1155.65100
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Wang, Haiying
2007
The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations. Zbl 1119.65106
2006
Integration of $$hp$$-adaptivity and a two-grid solver for electromagnetic problems. Zbl 1131.78009
Pardo, D.; Demkowicz, L.; Gopalakrishnan, J.
2006
Incompressible finite elements via hybridization. I: The Stokes system in two space dimensions. Zbl 1145.76402
2005
Incompressible finite elements via hybridization. II: The Stokes system in three space dimensions. Zbl 1145.76403
2005
Error analysis of variable degree mixed methods for elliptic problems via hybridization. Zbl 1078.65093
2005
New hybridization techniques. Zbl 1177.65171
2005
Nédélec spaces in affine coordinates. Zbl 1078.65103
Gopalakrishnan, J.; García-Castillo, L. E.; Demkowicz, L. F.
2005
A characterization of hybridized mixed methods for second order elliptic problems. Zbl 1084.65113
2004
Analysis of a multigrid algorithm for time harmonic Maxwell equations. Zbl 1079.78025
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.; Demkowicz, Leszek F.
2004
Quasioptimality of some spectral mixed methods. Zbl 1051.78020
2004
A multilevel discontinuous Galerkin method. Zbl 1044.65084
Gopalakrishnan, J.; Kanschat, G.
2003
Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations. Zbl 1009.78009
2003
A Schwarz preconditioner for a hybridized mixed method. Zbl 1039.65081
2003
Multilevel preconditioners for the interior penalty method. Zbl 1043.65067
Gopalakrishnan, J.; Kanschat, G.
2003
Multigrid for the mortar finite element method. Zbl 0951.65134
2000
An efficient method for band structure calculations in 3D photonic crystals. Zbl 1034.78013
Dobson, David C.; Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
2000
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### Cited by 946 Authors

 69 Cockburn, Bernardo 23 Demkowicz, Leszek F. 23 Nguyen, Ngoc Cuong 20 Ern, Alexandre 19 Ye, Xiu 17 Di Pietro, Daniele Antonio 17 Qiu, Weifeng 17 Zhang, Yangwen 15 Chung, Tsz Shun Eric 15 Rhebergen, Sander 14 Li, Jichun 14 Wang, Junping 14 Zhang, Shangyou 13 Solano, Manuel E. 12 Huerta, Antonio 12 Sayas, Francisco-Javier 12 Shi, Ke 12 Singler, John R. 11 Bui-Thanh, Tan 11 Fu, Guosheng 11 Gopalakrishnan, Jayadeep 10 Chen, Gang 10 Jeon, Youngmok 10 Park, Eun-Jae 10 Sevilla, Ruben 10 Xu, Jinchao 9 Antonietti, Paola Francesca 9 Beirão da Veiga, Lourenço 9 Fernández-Méndez, Sonia 9 Guzmán, Johnny 9 Huang, Xuehai 9 Lee, Jeonghun J. 9 Schöberl, Joachim 8 Chen, Long 8 Deng, Quanling 8 Gopalakrishnan, Jay 8 Hu, Jun 8 Kronbichler, Martin 8 Meddahi, Salim 8 Monk, Peter B. 8 Valentin, Frédéric 8 Xie, Xiaoping 7 Burman, Erik 7 Droniou, Jérôme 7 Gatica, Gabriel N. 7 Giacomini, Matteo 7 Huang, Yunqing 7 Mu, Lin 7 Pasciak, Joseph E. 7 Shen, Jiguang 7 Vohralík, Martin 7 Zhai, Qilong 6 Brezzi, Franco 6 Carstensen, Carsten 6 Celiker, Fatih 6 Chen, Huangxin 6 Devloo, Philippe Remy Bernard 6 Ginting, Victor 6 Gomes, Sônia Maria 6 Kim, Hyea Hyun 6 Lanteri, Stéphane 6 Li, Hengguang 6 Liu, Jiangguo 6 Manzini, Gianmarco 6 Marini, Luisa Donatella 6 Russo, Alessandro 6 Sacco, Riccardo 6 Schütz, Jochen 6 Wells, Garth N. 6 Xu, Xuejun 6 Zhang, Ran 5 Çeşmelioğlu, Ayçıl 5 Chen, Yanping 5 Dutra do Carmo, Eduardo Gomes 5 Fabien, Maurice S. 5 Feng, Minfu 5 Hu, Weiwei 5 Lederer, Philip Lukas 5 Lee, Youngju 5 Lehrenfeld, Christoph 5 Leng, Haitao 5 Li, Minghao 5 Loula, Abimael Fernando Dourado 5 Mansur, Webe Joao 5 Marquez-Duran, Antonio M. 5 Mascotto, Lorenzo 5 Moon, Minam 5 Shin, Dongwook 5 Tu, Xuemin 5 Wall, Wolfgang A. 5 Wu, Haijun 5 Wu, Shuonan 5 Yotov, Ivan 4 Awanou, Gerard Michel 4 Barrenechea, Gabriel R. 4 Cicuttin, Matteo 4 Dong, Bo 4 Du, Jie 4 Du, Shukai 4 Du, Yu ...and 846 more Authors
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### Cited in 86 Serials

 125 Journal of Scientific Computing 70 Computer Methods in Applied Mechanics and Engineering 67 Mathematics of Computation 66 Journal of Computational Physics 59 Computers & Mathematics with Applications 46 Journal of Computational and Applied Mathematics 32 SIAM Journal on Numerical Analysis 25 SIAM Journal on Scientific Computing 24 Numerische Mathematik 19 Applied Mathematics and Computation 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 16 Applied Numerical Mathematics 14 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 13 Computational Methods in Applied Mathematics 12 Computers and Fluids 11 International Journal for Numerical Methods in Engineering 11 Advances in Computational Mathematics 9 Communications in Computational Physics 7 Numerical Methods for Partial Differential Equations 7 Communications on Applied Mathematics and Computation 6 Calcolo 6 Numerical Linear Algebra with Applications 6 Advances in Applied Mathematics and Mechanics 5 Computational Mechanics 5 Applied Mathematics Letters 5 Journal of Numerical Mathematics 5 International Journal of Numerical Analysis and Modeling 5 Science China. Mathematics 4 Journal of Mathematical Analysis and Applications 4 BIT 4 Japan Journal of Industrial and Applied Mathematics 4 Computational Geosciences 4 Foundations of Computational Mathematics 3 Numerical Algorithms 3 International Journal of Computer Mathematics 3 Communications in Numerical Methods in Engineering 3 Computational and Applied Mathematics 3 ETNA. Electronic Transactions on Numerical Analysis 3 Mathematical Problems in Engineering 3 International Journal of Computational Fluid Dynamics 3 Multiscale Modeling & Simulation 3 Oberwolfach Reports 3 S$$\vec{\text{e}}$$MA Journal 2 Computer Physics Communications 2 International Journal for Numerical Methods in Fluids 2 Mathematical Methods in the Applied Sciences 2 Mathematics and Computers in Simulation 2 Journal of Computational Mathematics 2 Applied Mathematical Modelling 2 Numerical Mathematics: Theory, Methods and Applications 2 Electronic Research Archive 2 Results in Applied Mathematics 1 Acta Mechanica 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 ACM Transactions on Mathematical Software 1 Computing 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 COMPEL 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Elasticity 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Modern Optics 1 Differential Equations 1 Mathematical Modelling and Analysis 1 Archives of Computational Methods in Engineering 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 International Journal of Computational Methods 1 Boundary Value Problems 1 GAMM-Mitteilungen 1 Acta Mechanica Sinica 1 Frontiers of Mathematics in China 1 Networks and Heterogeneous Media 1 Advances in Mathematical Physics 1 ISRN Applied Mathematics 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Mathematics in Engineering 1 SMAI Journal of Computational Mathematics
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### Cited in 33 Fields

 755 Numerical analysis (65-XX) 357 Partial differential equations (35-XX) 236 Fluid mechanics (76-XX) 134 Mechanics of deformable solids (74-XX) 98 Optics, electromagnetic theory (78-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 12 Geophysics (86-XX) 8 Functional analysis (46-XX) 8 Computer science (68-XX) 6 General and overarching topics; collections (00-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Probability theory and stochastic processes (60-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)