## Spence, Euan A.

Compute Distance To:
 Author ID: spence.euan-a Published as: Spence, E. A.; Spence, Euan A. Homepage: http://people.bath.ac.uk/eas25/ External Links: MGP · ORCID · dblp
 Documents Indexed: 42 Publications since 2008 Co-Authors: 29 Co-Authors with 38 Joint Publications 622 Co-Co-Authors
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### Co-Authors

 4 single-authored 13 Graham, Ivan G. 7 Fokas, Athanassios S. 5 Galkowski, Jeffrey 5 Wunsch, Jared 4 Chandler-Wilde, Simon N. 3 Bonazzoli, Marcella 3 Dolean, Victorita 3 Lafontaine, David 3 Moiola, Andrea 3 Pembery, O. R. 3 Smyshlyaev, Valery P. 3 Tournier, Pierre-Henri 2 Betcke, Timo 2 Marchand, Pierre 2 Smitheman, S. A. 2 Vainikko, Eero 1 Baskin, Dean 1 Diwan, Ganesh C. 1 Fernandez, Arran 1 Flyer, Natasha 1 Gander, Martin Jakob 1 Gibbs, Andrew 1 Gong, Shihua 1 Kamotskĭ, Il’ya Vladimirovich 1 Langdon, Stephen 1 Löhndorf, Maike 1 Melenk, Jens Markus 1 Müller, Eike Hermann 1 Phillips, Joel R.
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### Serials

 4 Numerische Mathematik 4 SIAM Journal on Mathematical Analysis 3 Communications on Pure and Applied Mathematics 3 IMA Journal of Numerical Analysis 2 Mathematics of Computation 2 BIT 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 SIAM Review 2 Advances in Computational Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Computers & Mathematics with Applications 1 IMA Journal of Applied Mathematics 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Acta Numerica 1 SIAM/ASA Journal on Uncertainty Quantification 1 Pure and Applied Analysis
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### Fields

 37 Partial differential equations (35-XX) 33 Numerical analysis (65-XX) 7 Optics, electromagnetic theory (78-XX) 5 Integral equations (45-XX) 3 Potential theory (31-XX) 3 Operator theory (47-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Fluid mechanics (76-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX)

### Citations contained in zbMATH Open

37 Publications have been cited 528 times in 263 Documents Cited by Year
Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Zbl 1257.65070
Chandler-Wilde, Simon N.; Graham, Ivan G.; Langdon, Stephen; Spence, Euan A.
2012
Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: What is the largest shift for which wavenumber-independent convergence is guaranteed? Zbl 1328.65238
Gander, M. J.; Graham, I. G.; Spence, E. A.
2015
Is the Helmholtz equation really sign-indefinite? Zbl 1305.35021
Moiola, Andrea; Spence, Euan A.
2014
Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption. Zbl 1368.65250
Graham, I. G.; Spence, E. A.; Vainikko, E.
2017
Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations. Zbl 1341.35013
Baskin, Dean; Spence, Euan A.; Wunsch, Jared
2016
Wavenumber-explicit bounds in time-harmonic acoustic scattering. Zbl 1302.35139
Spence, E. A.
2014
Synthesis, as opposed to separation, of variables. Zbl 1387.35013
Fokas, A. S.; Spence, E. A.
2012
A new frequency-uniform coercive boundary integral equation for acoustic scattering. Zbl 1228.35183
Spence, Euan A.; Chandler-Wilde, Simon N.; Graham, Ivan G.; Smyshlyaev, Valery P.
2011
A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon. Zbl 1202.65161
Smitheman, S. A.; Spence, E. A.; Fokas, A. S.
2010
The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances. Zbl 1421.35056
Graham, I. G.; Pembery, O. R.; Spence, E. A.
2019
Coercivity of combined boundary integral equations in high-frequency scattering. Zbl 1342.35202
Spence, Euan A.; Kamotski, Ilia V.; Smyshlyaev, Valery P.
2015
When is the error in the $$h$$-BEM for solving the Helmholtz equation bounded independently of $$k$$? Zbl 1320.65187
Graham, I. G.; Löhndorf, M.; Melenk, J. M.; Spence, E. A.
2015
Numerical estimation of coercivity constants for boundary integral operators in acoustic scattering. Zbl 1232.65097
Betcke, T.; Spence, E. A.
2011
Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions. Zbl 1414.35057
Moiola, Andrea; Spence, Euan A.
2019
Recent results on domain decomposition preconditioning for the high-frequency Helmholtz equation using absorption. Zbl 1366.65113
Graham, Ivan G.; Spence, Euan A.; Vainikko, Eero
2017
A new transform method. II: The global relation and boundary-value problems in polar coordinates. Zbl 1200.35072
Spence, E. A.; Fokas, A. S.
2010
Wavenumber-explicit analysis for the Helmholtz $$h$$-BEM: error estimates and iteration counts for the Dirichlet problem. Zbl 1414.35054
Galkowski, Jeffrey; Müller, Eike H.; Spence, Euan A.
2019
A semi-analytical numerical method for solving evolution and elliptic partial differential equations. Zbl 1170.65079
Fokas, A. S.; Flyer, N.; Smitheman, S. A.; Spence, E. A.
2009
A new transform method. I: Domain-dependent fundamental solutions and integral representations. Zbl 1200.35071
Spence, E. A.; Fokas, A. S.
2010
Domain decomposition with local impedance conditions for the Helmholtz equation with absorption. Zbl 1465.65162
Graham, Ivan G.; Spence, Euan A.; Zou, Jun
2020
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. Zbl 1420.35398
Bonazzoli, M.; Dolean, V.; Graham, I. G.; Spence, E. A.; Tournier, P.-H.
2019
Two-level preconditioners for the Helmholtz equation. Zbl 1443.65416
Bonazzoli, Marcella; Dolean, Victorita; Graham, Ivan G.; Spence, Euan A.; Tournier, Pierre-Henri
2018
Can coercive formulations lead to fast and accurate solution of the Helmholtz equation? Zbl 1410.65445
Diwan, Ganesh C.; Moiola, Andrea; Spence, Euan A.
2019
Optimal constants in nontrapping resolvent estimates and applications in numerical analysis. Zbl 1439.35142
Galkowski, Jeffrey; Spence, Euan A.; Wunsch, Jared
2020
High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis. Zbl 1431.35020
Chandler-Wilde, S. N.; Spence, E. A.; Gibbs, A.; Smyshlyaev, V. P.
2020
Spectral decompositions and nonnormality of boundary integral operators in acoustic scattering. Zbl 1296.65173
Betcke, T.; Phillips, J.; Spence, E. A.
2014
Overview of variational formulations for linear elliptic PDEs. Zbl 1346.65060
Spence, E. A.
2015
Wavenumber-explicit regularity estimates on the acoustic single- and double-layer operators. Zbl 1417.31008
Galkowski, Jeffrey; Spence, Euan A.
2019
For most frequencies, strong trapping has a weak effect in frequency-domain scattering. Zbl 07405485
Lafontaine, David; Spence, Euan A.; Wunsch, Jared
2021
Novel analytical and numerical methods for elliptic boundary value problems. Zbl 1180.37104
Fokas, Athanasios S.; Spence, Euan A.
2009
The Helmholtz equation in random media: well-posedness and a priori bounds. Zbl 1436.35085
Pembery, O. R.; Spence, E. A.
2020
A two-level domain-decomposition preconditioner for the time-harmonic Maxwell’s equations. Zbl 1443.65417
Bonazzoli, Marcella; Dolean, Victorita; Graham, Ivan G.; Spence, Euan A.; Tournier, Pierre-Henri
2018
Eigenvalues of the truncated Helmholtz solution operator under strong trapping. Zbl 1480.35111
Galkowski, Jeffrey; Marchand, Pierre; Spence, Euan A.
2021
A sharp relative-error bound for the Helmholtz $$h$$-FEM at high frequency. Zbl 1481.35136
Lafontaine, D.; Spence, E. A.; Wunsch, J.
2022
Bounding acoustic layer potentials via oscillatory integral techniques. Zbl 1316.35099
Spence, E. A.
2015
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains. Zbl 07493696
Chandler-Wilde, S. N.; Spence, E. A.
2022
Domain decomposition preconditioners for high-order discretizations of the heterogeneous Helmholtz equation. Zbl 07528301
Gong, Shihua; Graham, Ivan G.; Spence, Euan A.
2021
A sharp relative-error bound for the Helmholtz $$h$$-FEM at high frequency. Zbl 1481.35136
Lafontaine, D.; Spence, E. A.; Wunsch, J.
2022
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains. Zbl 07493696
Chandler-Wilde, S. N.; Spence, E. A.
2022
For most frequencies, strong trapping has a weak effect in frequency-domain scattering. Zbl 07405485
Lafontaine, David; Spence, Euan A.; Wunsch, Jared
2021
Eigenvalues of the truncated Helmholtz solution operator under strong trapping. Zbl 1480.35111
Galkowski, Jeffrey; Marchand, Pierre; Spence, Euan A.
2021
Domain decomposition preconditioners for high-order discretizations of the heterogeneous Helmholtz equation. Zbl 07528301
Gong, Shihua; Graham, Ivan G.; Spence, Euan A.
2021
Domain decomposition with local impedance conditions for the Helmholtz equation with absorption. Zbl 1465.65162
Graham, Ivan G.; Spence, Euan A.; Zou, Jun
2020
Optimal constants in nontrapping resolvent estimates and applications in numerical analysis. Zbl 1439.35142
Galkowski, Jeffrey; Spence, Euan A.; Wunsch, Jared
2020
High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis. Zbl 1431.35020
Chandler-Wilde, S. N.; Spence, E. A.; Gibbs, A.; Smyshlyaev, V. P.
2020
The Helmholtz equation in random media: well-posedness and a priori bounds. Zbl 1436.35085
Pembery, O. R.; Spence, E. A.
2020
The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances. Zbl 1421.35056
Graham, I. G.; Pembery, O. R.; Spence, E. A.
2019
Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions. Zbl 1414.35057
Moiola, Andrea; Spence, Euan A.
2019
Wavenumber-explicit analysis for the Helmholtz $$h$$-BEM: error estimates and iteration counts for the Dirichlet problem. Zbl 1414.35054
Galkowski, Jeffrey; Müller, Eike H.; Spence, Euan A.
2019
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. Zbl 1420.35398
Bonazzoli, M.; Dolean, V.; Graham, I. G.; Spence, E. A.; Tournier, P.-H.
2019
Can coercive formulations lead to fast and accurate solution of the Helmholtz equation? Zbl 1410.65445
Diwan, Ganesh C.; Moiola, Andrea; Spence, Euan A.
2019
Wavenumber-explicit regularity estimates on the acoustic single- and double-layer operators. Zbl 1417.31008
Galkowski, Jeffrey; Spence, Euan A.
2019
Two-level preconditioners for the Helmholtz equation. Zbl 1443.65416
Bonazzoli, Marcella; Dolean, Victorita; Graham, Ivan G.; Spence, Euan A.; Tournier, Pierre-Henri
2018
A two-level domain-decomposition preconditioner for the time-harmonic Maxwell’s equations. Zbl 1443.65417
Bonazzoli, Marcella; Dolean, Victorita; Graham, Ivan G.; Spence, Euan A.; Tournier, Pierre-Henri
2018
Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption. Zbl 1368.65250
Graham, I. G.; Spence, E. A.; Vainikko, E.
2017
Recent results on domain decomposition preconditioning for the high-frequency Helmholtz equation using absorption. Zbl 1366.65113
Graham, Ivan G.; Spence, Euan A.; Vainikko, Eero
2017
Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations. Zbl 1341.35013
Baskin, Dean; Spence, Euan A.; Wunsch, Jared
2016
Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: What is the largest shift for which wavenumber-independent convergence is guaranteed? Zbl 1328.65238
Gander, M. J.; Graham, I. G.; Spence, E. A.
2015
Coercivity of combined boundary integral equations in high-frequency scattering. Zbl 1342.35202
Spence, Euan A.; Kamotski, Ilia V.; Smyshlyaev, Valery P.
2015
When is the error in the $$h$$-BEM for solving the Helmholtz equation bounded independently of $$k$$? Zbl 1320.65187
Graham, I. G.; Löhndorf, M.; Melenk, J. M.; Spence, E. A.
2015
Overview of variational formulations for linear elliptic PDEs. Zbl 1346.65060
Spence, E. A.
2015
Bounding acoustic layer potentials via oscillatory integral techniques. Zbl 1316.35099
Spence, E. A.
2015
Is the Helmholtz equation really sign-indefinite? Zbl 1305.35021
Moiola, Andrea; Spence, Euan A.
2014
Wavenumber-explicit bounds in time-harmonic acoustic scattering. Zbl 1302.35139
Spence, E. A.
2014
Spectral decompositions and nonnormality of boundary integral operators in acoustic scattering. Zbl 1296.65173
Betcke, T.; Phillips, J.; Spence, E. A.
2014
Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Zbl 1257.65070
Chandler-Wilde, Simon N.; Graham, Ivan G.; Langdon, Stephen; Spence, Euan A.
2012
Synthesis, as opposed to separation, of variables. Zbl 1387.35013
Fokas, A. S.; Spence, E. A.
2012
A new frequency-uniform coercive boundary integral equation for acoustic scattering. Zbl 1228.35183
Spence, Euan A.; Chandler-Wilde, Simon N.; Graham, Ivan G.; Smyshlyaev, Valery P.
2011
Numerical estimation of coercivity constants for boundary integral operators in acoustic scattering. Zbl 1232.65097
Betcke, T.; Spence, E. A.
2011
A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon. Zbl 1202.65161
Smitheman, S. A.; Spence, E. A.; Fokas, A. S.
2010
A new transform method. II: The global relation and boundary-value problems in polar coordinates. Zbl 1200.35072
Spence, E. A.; Fokas, A. S.
2010
A new transform method. I: Domain-dependent fundamental solutions and integral representations. Zbl 1200.35071
Spence, E. A.; Fokas, A. S.
2010
A semi-analytical numerical method for solving evolution and elliptic partial differential equations. Zbl 1170.65079
Fokas, A. S.; Flyer, N.; Smitheman, S. A.; Spence, E. A.
2009
Novel analytical and numerical methods for elliptic boundary value problems. Zbl 1180.37104
Fokas, Athanasios S.; Spence, Euan A.
2009
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### Cited by 348 Authors

 28 Spence, Euan A. 18 Fokas, Athanassios S. 13 Graham, Ivan G. 9 Chandler-Wilde, Simon N. 8 Gander, Martin Jakob 8 Ganesh, Mahadevan 8 Mantzavinos, Dionyssios 7 Dolean, Victorita 7 Hewett, David P. 7 Himonas, A. Alexandrou 6 Galkowski, Jeffrey 6 Geuzaine, Christophe A. 6 Moiola, Andrea 6 Tournier, Pierre-Henri 5 Antoine, Xavier 5 Bonazzoli, Marcella 5 Ma, Junjie 5 Melenk, Jens Markus 5 Nicholls, David P. 5 Perugia, Ilaria 5 Sauter, Stefan A. 5 Vuik, Cornelis 5 Yan, Fangchi 4 Betcke, Timo 4 Boubendir, Yassine 4 Cocquet, Pierre-Henri 4 Colbrook, Matthew J. 4 Ecevit, Fatih 4 García Ramos, Luis 4 Hiptmair, Ralf 4 Huybrechs, Daan 4 Majidian, Hassan 4 Morgenstern, Charles 4 Nabben, Reinhard 4 Rieder, Alexander 4 Wu, Shulin 4 Wunsch, Jared 4 Xiang, Shuhuang 4 Zepeda-Núñez, Leonardo 3 Ashton, Anthony C. L. 3 Chaillat, Stéphanie 3 Civiletti, Benjamin J. 3 Claeys, Xavier 3 Darbas, Marion 3 Demanet, Laurent 3 Diwan, Ganesh C. 3 Dwarka, Vandana 3 Flyer, Natasha 3 Fornberg, Bengt 3 Hwang, Guenbo 3 Jerez-Hanckes, Carlos 3 Kalimeris, Konstantinos 3 Lakhtakia, Akhlesh 3 Langdon, Stephen 3 Monk, Peter B. 3 Nataf, Frédéric 3 Pelloni, Beatrice 3 Pembery, O. R. 3 Smyshlyaev, Valery P. 3 Torres, Céline 3 Zaman, Sakhi 2 Aizenberg, Arkady M. 2 Anand, Akash 2 Ayzenberg, Alena A. 2 Bootland, Niall 2 Chen, Linchong 2 Demkowicz, Leszek F. 2 El Bouajaji, Mohamed 2 Escapil-Inchauspé, Paul 2 Filelis-Papadopoulos, Christos K. 2 Fliss, Sonia 2 Gao, Jing 2 Gélat, Pierre 2 Gravvanis, George A. 2 Greengard, Leslie F. 2 Groth, Samuel P. 2 Grylonakis, Eleftherios-Nektarios G. 2 Hawkins, Stuart Collin 2 He, Guo 2 Heuer, Norbert 2 Hong, Youngjoon 2 Jung, Changyeol 2 Karkulik, Michael 2 Khan, Suliman 2 Kirby, Robert C. 2 Kvamsdal, Trond 2 Lahaye, Domenico 2 Lazergui, Souaad 2 Le Louër, Frédérique 2 Lenells, Jonatan 2 Li, Xiaolin 2 Liu, Huilan 2 Lu, Ding 2 Marchand, Pierre 2 Mascotto, Lorenzo 2 Modave, Axel 2 Mohamed, M. Shadi 2 Parolin, Emile 2 Peterseim, Daniel 2 Praetorius, Dirk ...and 248 more Authors
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### Cited in 83 Serials

 18 Journal of Computational and Applied Mathematics 16 Numerische Mathematik 13 Journal of Computational Physics 11 Computers & Mathematics with Applications 11 Computer Methods in Applied Mechanics and Engineering 11 SIAM Journal on Scientific Computing 9 Journal of Scientific Computing 8 SIAM Journal on Numerical Analysis 8 Applied Numerical Mathematics 7 Mathematics of Computation 7 BIT 6 SIAM Journal on Matrix Analysis and Applications 5 SIAM Journal on Mathematical Analysis 5 SN Partial Differential Equations and Applications 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 4 Wave Motion 4 Numerical Algorithms 4 Advances in Computational Mathematics 4 Engineering Analysis with Boundary Elements 3 Applied Mathematics and Computation 3 Integral Equations and Operator Theory 3 Quarterly of Applied Mathematics 3 European Journal of Applied Mathematics 3 ETNA. Electronic Transactions on Numerical Analysis 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Communications on Pure and Applied Mathematics 2 Studies in Applied Mathematics 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Journal of Nonlinear Mathematical Physics 2 Computational Methods and Function Theory 2 Journal of Computational Acoustics 2 Complex Variables and Elliptic Equations 2 Communications in Computational Physics 2 Journal of Spectral Theory 2 Analysis and Mathematical Physics 2 SIAM/ASA Journal on Uncertainty Quantification 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Journal of Integral Equations and Applications 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Review 1 Journal of Nonlinear Science 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Annales Henri Poincaré 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Science China. Mathematics 1 Bulletin of Mathematical Sciences 1 Research in the Mathematical Sciences 1 Séminaire Laurent Schwartz. EDP et Applications 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bollettino dell’Unione Matematica Italiana 1 Pure and Applied Analysis
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### Cited in 32 Fields

 198 Numerical analysis (65-XX) 168 Partial differential equations (35-XX) 42 Optics, electromagnetic theory (78-XX) 30 Fluid mechanics (76-XX) 23 Integral equations (45-XX) 16 Mechanics of deformable solids (74-XX) 11 Potential theory (31-XX) 10 Approximations and expansions (41-XX) 8 Operator theory (47-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functions of a complex variable (30-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Ordinary differential equations (34-XX) 3 Integral transforms, operational calculus (44-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Operations research, mathematical programming (90-XX) 2 Probability theory and stochastic processes (60-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)