## Evans, Jonathan David

Compute Distance To:
 Author ID: evans.jonathan-d Published as: Evans, J. D.; Evans, Jonathan D.; Evans, Jonathan more...less Homepage: https://people.bath.ac.uk/masjde/index.html External Links: dblp
 Documents Indexed: 50 Publications since 1994 Co-Authors: 23 Co-Authors with 36 Joint Publications 704 Co-Co-Authors
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### Co-Authors

 14 single-authored 12 Galaktionov, Victor Aleksandrovich 10 King, John Robert 5 Álvarez-Caudevilla, Pablo 5 Kember, G. C. 3 França, Hugo L. 3 Oishi, Cassio M. 3 Sibley, David N. 2 Featherstone, W. E. 1 Fernández, Andrea 1 Ferro, Sergio P. 1 Fowler, Andrew C. 1 Hagen, Thomas C. 1 Henderson, Vicky 1 Hobson, David Graham 1 Keller, Joseph Bishop 1 Kuske, Rachel A. 1 Major, Glenna E. 1 Muntean, Adrian 1 O’Brien, Stephen B. G. 1 Olliver, J. G. 1 Palhares Junior, I. L. 1 Tayler, Alan B. 1 Vynnycky, Michael
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### Serials

 8 Journal of Non-Newtonian Fluid Mechanics 4 European Journal of Applied Mathematics 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Mathematical Biosciences 3 SIAM Journal on Applied Mathematics 2 Biological Cybernetics 2 Journal of Computational Physics 2 Nonlinearity 2 Quarterly Journal of Mechanics and Applied Mathematics 2 Applied Mathematics and Computation 2 IMA Journal of Mathematics Applied in Medicine and Biology 2 Journal of Geodesy 2 Discrete and Continuous Dynamical Systems 2 Mathematical Finance 1 IMA Journal of Applied Mathematics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Quarterly of Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Multiscale Modeling & Simulation 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 Journal of Fixed Point Theory and Applications
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### Fields

 23 Fluid mechanics (76-XX) 22 Partial differential equations (35-XX) 9 Biology and other natural sciences (92-XX) 8 Optics, electromagnetic theory (78-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 Numerical analysis (65-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

41 Publications have been cited 277 times in 179 Documents Cited by Year
American options on assets with dividends near expiry. Zbl 1031.91047
Evans, J. D.; Kuske, R.; Keller, Joseph B.
2002
Asymptotic results for the Stefan problem with kinetic undercooling. Zbl 0998.80004
Evans, J. D.; King, J. R.
2000
Unstable sixth-order thin film equation. I: Blow-up similarity solutions. Zbl 1173.35562
Evans, J. D.; Galaktionov, V. A.; King, J. R.
2007
Unstable sixth-order thin film equation. II: Global similarity patterns. Zbl 1173.35530
Evans, J. D.; Galaktionov, V. A.; King, J. R.
2007
Source-type solutions of the fourth-order unstable thin film equation. Zbl 1156.35387
Evans, J. D.; Galaktionov, V. A.; King, J. R.
2007
Blow-up similarity solutions of the fourth-order unstable thin film equation. Zbl 1221.35296
Evans, J. D.; Galaktionov, V. A.; King, J. R.
2007
Blow-up and global asymptotics of the limit unstable Cahn-Hilliard equation. Zbl 1110.35023
Evans, J. D.; Galaktionov, V. A.; Williams, J. F.
2006
Optimal timing for an indivisible asset sale. Zbl 1214.91112
Evans, Jonathan; Henderson, Vicky; Hobson, David
2008
Regularization by kinetic undercooling of blow-up in the ill-posed Stefan problem. Zbl 1099.35178
King, J. R.; Evans, J. D.
2005
Re-entrant corner flows of the upper convected Maxwell fluid. Zbl 1145.76316
Evans, Jonathan D.
2005
Re-entrant corner flows of Oldroyd-B fluids. Zbl 1186.76618
Evans, J. D.
2005
Re-entrant corner flows of UCM fluids: the natural stress basis. Zbl 1273.76038
Evans, J. D.
2008
Techniques for the application of the analytical solution to the multicylinder somatic shunt cable model for passive neurones. Zbl 0819.92003
Evans, J. D.; Major, G.; Kember, G. C.
1995
Re-entrant corner flows of UCM fluids: the Cartesian stress basis. Zbl 1273.76037
Evans, J. D.
2008
The Stefan problem with nonlinear kinetic undercooling. Zbl 1050.35152
Evans, J. D.; King, J. R.
2003
Countable families of solutions of a limit stationary semilinear fourth-order Cahn-Hilliard-type equation. I: Mountain pass and Lusternik-Schnirel’man patterns in $$\mathbb{R}^{N}$$. Zbl 1352.35031
Álvarez-Caudevilla, P.; Evans, J. D.; Galaktionov, V. A.
2016
Re-entrant corner flows of PTT fluids in the Cartesian stress basis. Zbl 1293.76025
Evans, J. D.; Sibley, D. N.
2008
Oxidation-induced stresses in the isolation oxidation of silicon. Zbl 0981.74020
Evans, J. D.; Vynnycky, M.; Ferro, S. P.
2000
Re-entrant corner flow for PTT fluids in the natural stress basis. Zbl 1274.76021
Evans, J. D.; Sibley, D. N.
2009
Re-entrant corner behaviour of the PTT fluid with a solvent viscosity. Zbl 1274.76103
Evans, J. D.
2010
Re-entrant corner flows of upper convected Maxwell fluids: the small and high Weissenberg number limits. Zbl 1149.76604
Evans, J. D.
2006
Re-entrant corner flows of UCM fluids: the initial formation of lip vortices. Zbl 1370.76011
Evans, J. D.
2005
Finite-length mask effects in the isolation oxidation of silicon. Zbl 0877.35139
Evans, J. D.; Tayler, A. B.; King, J. R.
1997
On continuous branches of very singular similarity solutions of a stable thin film equation. I: The Cauchy problem. Zbl 1227.35147
Evans, J. D.; Galaktionov, V. A.
2011
On continuous branches of very singular similarity solutions of the stable thin film equation. II: Free-boundary problems. Zbl 1227.35148
Evans, J. D.; Galaktionov, V. A.
2011
The Cauchy problem for a tenth-order thin film equation. II: Oscillatory source-type and fundamental similarity solutions. Zbl 06376336
Álvarez-Caudevilla, P.; Evans, J. D.; Galaktionov, V. A.
2015
Gradient blow-up for a fourth-order quasilinear Boussinesq-type equation. Zbl 1403.35058
Álvarez-Caudevilla, Pablo; Evans, Jonathan D.; Galaktionov, Victor A.
2018
Towards optimal regularity for the fourth-order thin film equation in $$\mathbb R^N$$: Graveleau-type focusing self-similarity. Zbl 1322.35051
Álvarez-Caudevilla, P.; Evans, J. D.; Galaktionov, V. A.
2015
On the derivation of heterogeneous reaction kinetics from a homogeneous reaction model. Zbl 0961.76089
Evans, J. D.; King, J. R.
2000
Analysis of a multiple equivalent cylinder model with generalized taper. Zbl 0970.92004
Evans, J. D.
2000
Analytical solutions to the multicylinder somatic shunt cable model for passive neurones with differing dendritic electrical parameters. Zbl 0807.92005
Evans, J. D.; Kember, G. C.
1994
Analytical solutions to a multicylinder somatic shunt cable model for passive neurones with spines. Zbl 0836.92005
Kember, G. C.; Evans, J. D.
1995
Multicylinder models for synaptic and gap-junctional integration. 2nd ed. Zbl 1091.92015
Evans, Jonathan D.
2005
A cable model for coupled neurons with somatic gap junctions. Zbl 1101.92008
Evans, J. D.
2005
Analytical solutions to a tapering multicylinder somatic shunt cable model for passive neurones. Zbl 0943.92011
Evans, J. D.; Kember, G. C.
1998
Re-entrant corner behaviour of the Giesekus fluid with a solvent viscosity. Zbl 1274.76104
Evans, J. D.
2010
The Cauchy problem for a tenth-order thin film equation. I. bifurcation of oscillatory fundamental solutions. Zbl 1308.35027
Álvarez-Caudevilla, Pablo; Evans, Jonathan D.; Galaktionov, Victor A.
2013
Analytical solution of the cable equation with synaptic reversal potentials for passive neurons with tip-to-tip dendrodendritic coupling. Zbl 1071.92004
Evans, J. D.
2005
Improved convergence rates for the truncation error in gravimetric geoid determination. Zbl 1042.86509
Evans, J. D.; Featherstone, W. E.
2000
Single and two-scale sharp-interface models for concrete carbonation – asymptotics and numerical approximation. Zbl 1255.35138
Evans, Jonathan D.; Fernández, Andrea; Muntean, Adrian
2012
Application of the natural stress formulation for solving unsteady viscoelastic contraction flows. Zbl 1452.76152
Evans, Jonathan D.; França, Hugo L.; Oishi, Cassio M.
2019
Application of the natural stress formulation for solving unsteady viscoelastic contraction flows. Zbl 1452.76152
Evans, Jonathan D.; França, Hugo L.; Oishi, Cassio M.
2019
Gradient blow-up for a fourth-order quasilinear Boussinesq-type equation. Zbl 1403.35058
Álvarez-Caudevilla, Pablo; Evans, Jonathan D.; Galaktionov, Victor A.
2018
Countable families of solutions of a limit stationary semilinear fourth-order Cahn-Hilliard-type equation. I: Mountain pass and Lusternik-Schnirel’man patterns in $$\mathbb{R}^{N}$$. Zbl 1352.35031
Álvarez-Caudevilla, P.; Evans, J. D.; Galaktionov, V. A.
2016
The Cauchy problem for a tenth-order thin film equation. II: Oscillatory source-type and fundamental similarity solutions. Zbl 06376336
Álvarez-Caudevilla, P.; Evans, J. D.; Galaktionov, V. A.
2015
Towards optimal regularity for the fourth-order thin film equation in $$\mathbb R^N$$: Graveleau-type focusing self-similarity. Zbl 1322.35051
Álvarez-Caudevilla, P.; Evans, J. D.; Galaktionov, V. A.
2015
The Cauchy problem for a tenth-order thin film equation. I. bifurcation of oscillatory fundamental solutions. Zbl 1308.35027
Álvarez-Caudevilla, Pablo; Evans, Jonathan D.; Galaktionov, Victor A.
2013
Single and two-scale sharp-interface models for concrete carbonation – asymptotics and numerical approximation. Zbl 1255.35138
Evans, Jonathan D.; Fernández, Andrea; Muntean, Adrian
2012
On continuous branches of very singular similarity solutions of a stable thin film equation. I: The Cauchy problem. Zbl 1227.35147
Evans, J. D.; Galaktionov, V. A.
2011
On continuous branches of very singular similarity solutions of the stable thin film equation. II: Free-boundary problems. Zbl 1227.35148
Evans, J. D.; Galaktionov, V. A.
2011
Re-entrant corner behaviour of the PTT fluid with a solvent viscosity. Zbl 1274.76103
Evans, J. D.
2010
Re-entrant corner behaviour of the Giesekus fluid with a solvent viscosity. Zbl 1274.76104
Evans, J. D.
2010
Re-entrant corner flow for PTT fluids in the natural stress basis. Zbl 1274.76021
Evans, J. D.; Sibley, D. N.
2009
Optimal timing for an indivisible asset sale. Zbl 1214.91112
Evans, Jonathan; Henderson, Vicky; Hobson, David
2008
Re-entrant corner flows of UCM fluids: the natural stress basis. Zbl 1273.76038
Evans, J. D.
2008
Re-entrant corner flows of UCM fluids: the Cartesian stress basis. Zbl 1273.76037
Evans, J. D.
2008
Re-entrant corner flows of PTT fluids in the Cartesian stress basis. Zbl 1293.76025
Evans, J. D.; Sibley, D. N.
2008
Unstable sixth-order thin film equation. I: Blow-up similarity solutions. Zbl 1173.35562
Evans, J. D.; Galaktionov, V. A.; King, J. R.
2007
Unstable sixth-order thin film equation. II: Global similarity patterns. Zbl 1173.35530
Evans, J. D.; Galaktionov, V. A.; King, J. R.
2007
Source-type solutions of the fourth-order unstable thin film equation. Zbl 1156.35387
Evans, J. D.; Galaktionov, V. A.; King, J. R.
2007
Blow-up similarity solutions of the fourth-order unstable thin film equation. Zbl 1221.35296
Evans, J. D.; Galaktionov, V. A.; King, J. R.
2007
Blow-up and global asymptotics of the limit unstable Cahn-Hilliard equation. Zbl 1110.35023
Evans, J. D.; Galaktionov, V. A.; Williams, J. F.
2006
Re-entrant corner flows of upper convected Maxwell fluids: the small and high Weissenberg number limits. Zbl 1149.76604
Evans, J. D.
2006
Regularization by kinetic undercooling of blow-up in the ill-posed Stefan problem. Zbl 1099.35178
King, J. R.; Evans, J. D.
2005
Re-entrant corner flows of the upper convected Maxwell fluid. Zbl 1145.76316
Evans, Jonathan D.
2005
Re-entrant corner flows of Oldroyd-B fluids. Zbl 1186.76618
Evans, J. D.
2005
Re-entrant corner flows of UCM fluids: the initial formation of lip vortices. Zbl 1370.76011
Evans, J. D.
2005
Multicylinder models for synaptic and gap-junctional integration. 2nd ed. Zbl 1091.92015
Evans, Jonathan D.
2005
A cable model for coupled neurons with somatic gap junctions. Zbl 1101.92008
Evans, J. D.
2005
Analytical solution of the cable equation with synaptic reversal potentials for passive neurons with tip-to-tip dendrodendritic coupling. Zbl 1071.92004
Evans, J. D.
2005
The Stefan problem with nonlinear kinetic undercooling. Zbl 1050.35152
Evans, J. D.; King, J. R.
2003
American options on assets with dividends near expiry. Zbl 1031.91047
Evans, J. D.; Kuske, R.; Keller, Joseph B.
2002
Asymptotic results for the Stefan problem with kinetic undercooling. Zbl 0998.80004
Evans, J. D.; King, J. R.
2000
Oxidation-induced stresses in the isolation oxidation of silicon. Zbl 0981.74020
Evans, J. D.; Vynnycky, M.; Ferro, S. P.
2000
On the derivation of heterogeneous reaction kinetics from a homogeneous reaction model. Zbl 0961.76089
Evans, J. D.; King, J. R.
2000
Analysis of a multiple equivalent cylinder model with generalized taper. Zbl 0970.92004
Evans, J. D.
2000
Improved convergence rates for the truncation error in gravimetric geoid determination. Zbl 1042.86509
Evans, J. D.; Featherstone, W. E.
2000
Analytical solutions to a tapering multicylinder somatic shunt cable model for passive neurones. Zbl 0943.92011
Evans, J. D.; Kember, G. C.
1998
Finite-length mask effects in the isolation oxidation of silicon. Zbl 0877.35139
Evans, J. D.; Tayler, A. B.; King, J. R.
1997
Techniques for the application of the analytical solution to the multicylinder somatic shunt cable model for passive neurones. Zbl 0819.92003
Evans, J. D.; Major, G.; Kember, G. C.
1995
Analytical solutions to a multicylinder somatic shunt cable model for passive neurones with spines. Zbl 0836.92005
Kember, G. C.; Evans, J. D.
1995
Analytical solutions to the multicylinder somatic shunt cable model for passive neurones with differing dendritic electrical parameters. Zbl 0807.92005
Evans, J. D.; Kember, G. C.
1994
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### Cited by 249 Authors

 22 Evans, Jonathan David 19 Galaktionov, Victor Aleksandrovich 12 Liu, Chein-Shan 11 Álvarez-Caudevilla, Pablo 7 King, John Robert 7 Zhu, Songping 6 Chen, Wenting 6 McCue, Scott William 4 Hobson, David Graham 4 Mallier, Roland 3 Alobaidi, Ghada 3 Oishi, Cassio M. 3 Taranets, Roman M. 3 Zhang, Jin E. 2 Back, Julian Michael 2 Cheng, Jun 2 Choulli, Tahir 2 Colorado, Eduardo 2 Duck, Peter W. 2 Eden, Alp 2 Ekström, Erik 2 França, Hugo L. 2 Georgievskiĭ, Dmitriĭ Vladimirovich 2 Goard, Joanna M. 2 Henderson, Vicky 2 Hill, James Murray 2 Huang, Rui 2 Jüngel, Ansgar 2 Kalantarov, Varga K. 2 Knessl, Charles 2 Lai, Tze Leung 2 Li, Tiecheng 2 Lu, Xiaoping 2 Ma, Junfeng 2 Matthes, Daniel 2 Moroney, Timothy J. 2 Qu, Changzheng 2 Ševčovič, Daniel 2 Sibley, David N. 2 Tang, Hui 2 Timofeeva, Yulia 2 Unterreiter, Andreas 2 Wang, Zhao 2 Witelski, Thomas P. 2 Wu, Bisheng 2 Xie, Xuming 2 Yin, Jingxue 2 Zelik, Sergey V. 2 Zhao, Xiaopeng 2 Zhou, Jun 2 Zhu, Yeqi 1 Addison, J. A. 1 Agarwal, Ravi P. 1 Aitsahlia, Farid 1 Alexander, Carol 1 Andricopoulos, Ari D. 1 Aydın, Selçuk Han 1 Baer, Steven M. 1 Battauz, Anna 1 Bernoff, Andrew J. 1 Bluman, George W. 1 Booth, R. J. S. 1 Bowen, Mark 1 Brand, Samuel P. C. 1 Broadbridge, Philip 1 Bukal, Mario 1 Caudron, Quentin 1 Cen, Zhongdi 1 Ceretani, Andrea N. 1 Ceseri, Maurizio 1 Chaffin, S. T. 1 Chang, Jiang-ren 1 Chaves, Manuela 1 Chen, Kewang 1 Chen, Zengshun 1 Cheng, Ting 1 Chevalier, Etienne 1 Chugunova, Marina A. 1 Colbert, C. M. 1 Coombes, Stephen 1 Crook, Sharon M. 1 Cui, Yujuan 1 Dai, Min 1 Dallaston, Michael Charles 1 Dalwadi, Mohit P. 1 Davis, Robert H. 1 De Donno, Marzia 1 Deakin, A. Stanley 1 Degtyarev, Sergeĭ Petrovich 1 Dehghan Takht Fooladi, Mehdi 1 Deliceoğlu, Ali 1 do Rosário Grossinho, Maria 1 Dong, Zhihua 1 Donnelly, Simon R. 1 Duan, Ning 1 Evatt, Geoffrey W. 1 Fabelo, Rasiel 1 Fabre, Emilie 1 Fang, Jianbo 1 Fard, Farzad Alavi ...and 149 more Authors
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### Cited in 86 Serials

 7 Journal of Engineering Mathematics 7 European Journal of Applied Mathematics 7 Journal of Non-Newtonian Fluid Mechanics 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal of Mathematical Analysis and Applications 5 Journal of Mathematical Physics 5 Applied Mathematics and Computation 5 SIAM Journal on Applied Mathematics 5 Mathematical Finance 4 Studies in Applied Mathematics 4 Applied Mathematics Letters 4 Applied Mathematical Modelling 4 Discrete and Continuous Dynamical Systems 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Boundary Value Problems 3 Mathematical Biosciences 3 Mathematical Methods in the Applied Sciences 3 Journal of Computational and Applied Mathematics 3 International Journal of Computer Mathematics 3 The ANZIAM Journal 3 Review of Derivatives Research 3 SIAM Journal on Financial Mathematics 2 Applicable Analysis 2 Archive for Rational Mechanics and Analysis 2 Biological Cybernetics 2 Computers & Mathematics with Applications 2 Journal of Differential Equations 2 The Annals of Applied Probability 2 Journal of Mathematical Sciences (New York) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Applied Mathematical Finance 2 Finance and Stochastics 2 Abstract and Applied Analysis 2 International Journal of Theoretical and Applied Finance 2 European Journal of Mechanics. B. Fluids 2 Nonlinear Analysis. Real World Applications 2 Advanced Nonlinear Studies 2 Advances in Difference Equations 2 Inverse Problems in Science and Engineering 1 Advances in Applied Probability 1 Bulletin of the Australian Mathematical Society 1 Computers and Fluids 1 Communications on Pure and Applied Mathematics 1 International Journal of Heat and Mass Transfer 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Theory of Probability and its Applications 1 Journal of Statistical Planning and Inference 1 Mathematica Slovaca 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Applied Numerical Mathematics 1 Journal of Applied Mathematics and Stochastic Analysis 1 International Journal of Mathematics 1 Annals of Operations Research 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Automation and Remote Control 1 Stochastic Processes and their Applications 1 Journal of Nonlinear Science 1 Theory of Probability and Mathematical Statistics 1 Physics of Fluids 1 Electronic Journal of Differential Equations (EJDE) 1 Nonlinear Dynamics 1 Interfaces and Free Boundaries 1 Communications in Nonlinear Science and Numerical Simulation 1 Scandinavian Actuarial Journal 1 Quantitative Finance 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Asia-Pacific Financial Markets 1 Mediterranean Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Optimization Letters 1 Science China. Mathematics 1 International Journal of Stochastic Analysis 1 The Journal of Mathematical Neuroscience 1 Annals of Finance 1 ISRN Applied Mathematics 1 Advances in Nonlinear Analysis 1 Mathematics
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### Cited in 24 Fields

 91 Partial differential equations (35-XX) 50 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Fluid mechanics (76-XX) 27 Numerical analysis (65-XX) 25 Probability theory and stochastic processes (60-XX) 19 Classical thermodynamics, heat transfer (80-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Biology and other natural sciences (92-XX) 7 Systems theory; control (93-XX) 5 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 5 Mechanics of deformable solids (74-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX)