# zbMATH — the first resource for mathematics

## Miller, John James Henry

Compute Distance To:
 Author ID: miller.john-j-h Published as: Miller, J.; Miller, J. J. H.; Miller, John; Miller, John J. H. External Links: MGP · Math-Net.Ru · ResearchGate · dblp
 Documents Indexed: 155 Publications since 1966, including 26 Books
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#### Co-Authors

 40 single-authored 44 Shishkin, Grigoriĭ Ivanovich 38 O’Riordan, Eugene 21 Hegarty, Alan F. 15 Farrell, Paul A. 15 Wang, Song 14 Valarmathi, Sigamani 7 Crane, Lawrence J. 6 Sigamani, Valarmathi 5 Fitzsimons, Conor J. 4 Shivaranjani, Nagarajan 3 Clavero, Carmelo 3 Doolan, E. P. 3 Franklin, Victor 3 Liu, Fawang 3 Pochai, Nopparat 3 Schilders, Willy H. A. 3 Simms, D. J. 3 Tangmanee, Suwon 2 Browne, B. T. 2 Gahan, B. 2 Guo, Ben-Yu 2 Kalaiselvan, Saravana Sankar 2 Manikandan, Mariappan 2 Musgrave, Alison P. 2 Paramasivam, Mathiazhagan 2 Paramasivam, Mathiyazhagan 2 Shishkina, Lidia P. 2 Wu, Changhui 1 Ansari, Ali R. 1 Appleby, John A. D. 1 Bach, N. 1 Bhuvaneswari, T. 1 Boglaev, Igor P. 1 Butler, John Scott 1 Carroll, John G. 1 Creedon, David M. 1 Cummins, Mark 1 Deasy, P. B. 1 Edelman, David C. 1 Étienne, Jocelyn 1 Gilchrist, Michael D. 1 Godunov, Sergeĭ Konstantinovich 1 Han, Houde 1 Hemavathi, S. 1 Hemker, Pieter W. 1 Ishwariya, R. 1 Kenny, E. M. 1 Koren, Barry 1 Li, Zi-Cai 1 Lin, Pingping 1 Lisbona Cortés, Francisco Javier 1 MacMullen, H. 1 Mariappan, Manikandan 1 Mathiyazhagan, Paramasivam 1 Meenakshi, P. Maragatha 1 Mullarkey, Edward 1 Murphy, Finbarr 1 Narasimhan, Ramanujam 1 Novikov, V. A. 1 Petrenko, E. A. 1 Ramanujam, Narasimhan 1 Reilly, M. J. O. 1 Shi, ong-ci 1 Sloane, Alan A. 1 Strang, William Gilbert 1 Tang, Min 1 Tsai, Heng-Shuing 1 Victor, Franklin
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#### Serials

 7 Journal of Computational and Applied Mathematics 5 International Journal for Numerical Methods in Fluids 5 Mathematical Communications 3 Mathematics of Computation 3 Applied Mathematics and Computation 3 SIAM Journal on Numerical Analysis 3 Applied Numerical Mathematics 3 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 3 International Journal of Numerical Analysis and Modeling 2 Computers & Mathematics with Applications 2 IMA Journal of Numerical Analysis 2 Journal of Computational Physics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematics and Computers in Simulation 2 Journal of Computational Mathematics 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 CWI Quarterly 2 Communications in Numerical Methods in Engineering 2 Journal of Interdisciplinary Mathematics 2 Springer Proceedings in Mathematics & Statistics 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of the Institute of Mathematics and its Applications 1 International Journal for Numerical Methods in Engineering 1 Mathematica Scandinavica 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Bulletin of the Greek Mathematical Society 1 Computational Mechanics 1 COMPEL 1 Mathematical and Computer Modelling 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Computers and Mathematics with Applications. Part B 1 Numerical Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 East-West Journal of Numerical Mathematics 1 Mathematical Proceedings of the Royal Irish Academy 1 Computational Methods in Applied Mathematics 1 Thai Journal of Mathematics 1 SIAM Journal on Control 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Applied Mathematics and Mathematical Computation 1 Numerical Mathematics: Theory, Methods and Applications 1 International Journal of Biomathematics 1 Biomath
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#### Fields

 131 Numerical analysis (65-XX) 42 Partial differential equations (35-XX) 41 Ordinary differential equations (34-XX) 33 Fluid mechanics (76-XX) 23 General and overarching topics; collections (00-XX) 17 Optics, electromagnetic theory (78-XX) 5 Mechanics of deformable solids (74-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Information and communication theory, circuits (94-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 1 Real functions (26-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH

90 Publications have been cited 1,630 times in 1,018 Documents Cited by Year
Uniform numerical methods for problems with initial and boundary layers. Zbl 0459.65058
Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A.
1980
Robust computational techniques for boundary layers. Zbl 0964.65083
Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
2000
Fitted numerical methods for four simple convection-diffusion problems. Zbl 0945.65521
Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
1998
Fitted numerical methods for singular perturbation problems. Error estimates in the maximum norm for linear problems in one and two dimensions. Zbl 0915.65097
Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
1996
On the location of zeros of certain classes of polynomials with applications to numerical analysis. Zbl 0232.65070
Miller, John J. H.
1971
Fitted mesh methods for problems with parabolic boundary layers. Zbl 0934.65091
Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.; Shishkina, L. P.
1998
On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems. Zbl 0814.65082
Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
1995
Fitted numerical methods for singular perturbation problems. Error estimates in the maximum norm for linear problems in one and two dimensions. Revised ed. Zbl 1243.65002
Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
2012
Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient. Zbl 1075.65100
Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
2004
A new non-conforming Petrov-Galerkin finite-element method with triangular elements for a singularly perturbed advection-diffusion problem. Zbl 0806.65111
Miller, J. J. H.; Wang, S.
1994
Singularly perturbed convection–diffusion problems with boundary and weak interior layers. Zbl 1041.65059
Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
2004
Numerical analysis of singular perturbation problems. Proceedings of the conference held at the University of Nijmegen, The Netherlands, May 30th to June 2nd, 1978. Zbl 0407.00011
Hemker, P. W. (ed.); Miller, J. J. H. (ed.)
1979
An exponentially fitted finite volume method for the numerical solution of 2D unsteady incompressible flow problems. Zbl 0810.76064
Miller, John J. H.; Wang, Song
1994
Special meshes for finite difference approximations to an advection- diffusion equation with parabolic layers. Zbl 0817.76041
Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I.
1995
A second-order parameter-uniform overlapping Schwarz method for reaction-diffusion problems with boundary layers. Zbl 1010.65031
MacMullen, H.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
2001
A parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion problem with an interior layer. Zbl 0967.65086
Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.; Wang, S.
2000
A uniformly convergent finite difference scheme for a singularly perturbed semilinear equation. Zbl 0856.34068
Farrell, Paul A.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigori I.
1996
A parameter uniform numerical method for a system of singularly perturbed ordinary differential equations. Zbl 1193.65112
Hemavathi, S.; Bhuvaneswari, T.; Valarmathi, S.; Miller, J. J. H.
2007
Second-order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system. Zbl 1279.65104
Franklin, V.; Paramasivam, M.; Miller, J. J. H.; Valarmathi, S.
2013
Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system. Zbl 1223.65062
Mathiyazhagan, Paramasivam; Valarmathi, Sigamani; Miller, John J. H.
2010
Applications of advanced computational methods for boundary and interior layers. Zbl 0782.00036
Miller, J. J. H. (ed.)
1993
Solving a partially singularly perturbed initial value problem on Shishkin meshes. Zbl 1208.65099
Meenakshi, P. Maragatha; Valarmathi, S.; Miller, J. J. H.
2010
On the non-existence of $$\varepsilon$$-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems. Zbl 0892.65055
Farrell, Paul A.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
1998
Matrix theorems for partial differential and difference equations. Zbl 0144.13404
Miller, John; Strang, G.
1966
A water quality computation in the uniform channel. Zbl 1165.76006
Pochai, Nopparat; Tangmanee, Suwon; Crane, Lawrence J.; Miller, John J. H.
2008
Optimal uniform difference schemes for linear initial-value problems. Zbl 0659.65072
Miller, J. J. H.
1986
A parameter-uniform finite difference method for singularly perturbed linear dynamical systems. Zbl 1198.65123
Valarmathi, S.; Miller, John J. H.
2010
Parameter-uniform fitted mesh method for quasilinear differential equations with boundary layers. Zbl 0977.34015
Farrell, P. A.; O’Riordan, E.; Miller, J. J. H.; Shishkin, G. I.
2001
A triangular mixed finite element method for the stationary semiconductor device equations. Zbl 0732.65114
Miller, J. J. H.; Wang, S.
1991
Uniform second order difference schemes for singular perturbation problems. Zbl 0455.76041
Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.
1980
The stability properties of q-step backward difference schemes. Zbl 0311.65047
Creedon, David M.; Miller, John J. H.
1975
On power-bounded operators and operators satisfying a resolvent condition. Zbl 0166.41504
Miller, J. J. H.
1967
Use of central-difference operators for solution of singularly perturbed problems. Zbl 0815.65108
Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I.
1994
Iterative and Petrov-Galerkin methods for solving a system of one- dimensional nonlinear elliptic equations. Zbl 0812.65077
Guo, Ben-yu; Miller, J. J. H.
1992
A parameter-uniform numerical method for a boundary value problem for a singularly perturbed delay differential equation. Zbl 1319.65064
Manikandan, M.; Shivaranjani, N.; Miller, J. J. H.; Valarmathi, S.
2014
An analysis of the Scharfetter-Gummel box method for the stationary semiconductor device equations. Zbl 0820.65089
Miller, J. J. H.; Wang, Song
1994
A tetrahedral mixed finite element method for the stationary semiconductor continuity equations. Zbl 0797.65106
Miller, J. J. H.; Wang, S.
1994
A simple recipe for uniformly convergent finite difference schemes for singularly perturbed problems. Zbl 0723.65094
Miller, John; Mullarkey, Edward; O’Riordan, Eugène; Shishkin, Grigorii
1991
Boundary and interior layers - computational and asymptotic methods. Proceedings of the BAIL I conference held at Trinity College, Dublin from 3rd to 6th June, 1980. Zbl 0425.00026
Miller, J. J. H. (ed.)
1980
A parameter uniform method for an initial value problem for a system of singularly perturbed delay differential equations. Zbl 1319.65060
Shivaranjani, Nagarajan; Narasimhan, Ramanujam; Miller, J. J. H.; Valarmathi, Sigamani
2014
Parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system with discontinuous source terms. Zbl 1310.65084
Paramasivam, M.; Miller, J. J. H.; Valarmathi, S.
2014
A parameter-uniform finite difference method for a singularly perturbed initial value problem: A special case. Zbl 1179.65097
Valarmathi, S.; Miller, J. J. H.
2009
Accurate and approximate analytic solutions of singularly perturbed differential equations with two-dimensional boundary layers. Zbl 1142.65385
Li, Zi-Cai; Tsai, Heng-Shuing; Wang, Song; Miller, John J. H.
2008
Grid approximation of a singularly perturbed boundary value problem modelling heat transfer in the case of flow over a flat plate with suction of the boundary layer. Zbl 1107.76371
Miller, J. J. H.; Shishkin, G. I.; Koren, B.; Shishkina, L. P.
2004
An accurate numerical solution of a two dimensional heat transfer problem with a parabolic boundary layer. Zbl 0890.65105
Clavero, C.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
1998
The necessity of fitted operators and Shishkin meshes for resolving thin layer phenomena. Zbl 0909.65051
Miller, John J. H.; O’Riordan, Eugene
1997
A mixed finite element method for the stationary semiconductor continuity equations. Zbl 0675.65127
Miller, J. J. H.; Wang, S.; Wu, C. H.
1988
On the inclusion of the recombination term in discretizations of the semiconductor device equations. Zbl 0598.65090
Miller, John J. H.
1986
Completely exponentially fitted finite difference schemes for some singular perturbation problems. Zbl 0441.65063
Carroll, John; Miller, J. J. H.
1980
On the convergence, uniformly in $$\varepsilon$$, of difference schemes for a two point boundary singular perturbation problem. Zbl 0419.65051
Miller, John J. H.
1979
Second order parameter-uniform convergence for a finite difference method for a partially singularly perturbed linear parabolic system. Zbl 1312.65144
Franklin, Victor; Miller, John J. H.; Valarmathi, Sigamani
2014
Second order parameter-uniform numerical method for a partially singularly perturbed linear system of reaction-diusion type. Zbl 1274.65203
Paramasivam, Mathiyazhagan; Miller, John J. H.; Valarmathi, Sigamani
2013
A water quality computation in the uniform reservoir. Zbl 1173.76008
Pochai, Nopparat; Tangmanee, Suwon; Crane, Lawrence J.; Miller, John J. H.
2009
Numerical techniques for flow problems with singularities. Zbl 1032.76637
Farrell, Paul A.; Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
2003
An experimental technique for computing parameter-uniform error estimates for numerical solutions of singular perturbation problems, with an application to Prandtl’s problem at high Reynolds number. Zbl 1113.76440
Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
2002
Analysis of Rayleigh-Lamb wave scattering by a crack in an elastic plate. Zbl 0895.73013
Crane, L. J.; Gilchrist, M. D.; Miller, J. J. H.
1997
On the design of piecewise uniform meshes for solving advection-dominated transport equations to a prescribed accuracy. Zbl 0880.76049
Farrell, Paul A.; Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
1995
Uniform convergence of arbitrary order on nonuniform meshes for a singularly perturbed boundary value problem. Zbl 0856.65089
Clavero, Carmelo; Lisbona, Francisco; Miller, John J. H.
1995
On a novel mesh for the regular boundary layers arising in advection- dominated transport in two dimensions. Zbl 0824.65100
Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I.
1995
On numerical experiments with central difference operators on special piecewise uniform meshes for problems with boundary layers. Zbl 0808.65101
Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I.
1994
Hexahedral finite elements for the stationary semiconductor device equations. Zbl 0725.65119
Fitzsimons, C. J.; Miller, J. J. H.; Wang, S.; Wu, C. H.
1990
Petrov-Galerkin and Green’s function methods for nonlinear boundary value problems with applications to semiconductor devices. Zbl 0653.65060
Boglaev, I. P.; Miller, J. J. H.
1988
Petrov-Galerkin finite element methods with a hinged test space for singularly perturbed problems. Zbl 0584.65051
Fitzsimons, C.; Miller, J. J. H.; O’Riordan, E.
1985
Fitted Petrov-Galerkin methods for singularly perturbed boundary value problems. Zbl 0672.65066
Fitzsimons, C.; Miller, J. J. H.; O’Riordan, E.
1984
BAIL III: Proceedings of the Third International Conference on Boundary and Interior Layers – Computational and Asymptotic Methods, 20–22 June 1984, Trinity College, Dublin, Ireland. Zbl 0671.00015
Miller, J. J. H. (ed.)
1984
Uniform numerical methods for problems with initial and boundary layers. (Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem). Transl. from the English. Zbl 0527.65058
Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A.
1983
A finite element method for a two point boundary value problem with a small parameter affecting the highest derivative. Zbl 0384.65040
Miller, John J. H.
1978
On the stability of differential equations. Zbl 0256.34059
Miller, John J. H.
1972
A robust numerical method for flow through a pipe driven by an oscillating pressure gradient. Zbl 1370.76099
Ansari, Ali R.; Miller, John J. H.; Shishkin, Grigori I.
2007
Computing realistic Reynolds-uniform error bounds for discrete derivatives of flow velocities in the boundary layer for Prandtl’s problem. Zbl 1032.76638
Farrell, Paul A.; Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
2003
A Reynolds-uniform numerical method for the Prandtl solution and its derivatives for stagnation line flow. Zbl 1032.76640
Miller, John J. H.; Musgrave, Alison P.; Shishkin, Grigorii I.
2003
A robust layer-resolving numerical method for plane stagnation point flow. Zbl 1052.76047
Miller, John J. H.; Musgrave, Alison P.; Shishkin, Grigorii I.
2001
Parameter-uniform numerical methods for a class of singularly perturbed problems with a Neumann boundary condition. Zbl 0978.65065
Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
2001
Numerical experiments for advection-diffusion problems in a channel with a $$180^\circ$$ bend. Zbl 1023.65112
Clavero, C.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
2001
On a fitted operator technique for singular perturbation equations. Zbl 0968.65077
Farrell, P. A.; Hegarty, A.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
1999
Special numerical methods for convection-dominated laminar flows at arbitrary Reynolds number. Zbl 0808.76058
Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
1994
A second-order L-stable time discretisation of the semiconductor device equations. Zbl 0756.65139
Fitzsimons, Conor J.; Liu, Fawang; Miller, John J. H.
1992
An exponentially fitted finite element method for a stationary convection-diffusion problem. Zbl 0770.65072
Miller, J. J. H.; Wang, S.
1991
Computational methods for boundary and interior layers in several dimensions. Zbl 0753.00015
Miller, J. J. H. (ed.)
1991
An $$\varepsilon$$-uniformly convergent non-conforming finite element method for a singularly perturbed elliptic problem in two dimensions. Zbl 0752.65075
Miller, J. J. H.; Wang, S.
1990
On the discretization of the semiconductor device equations in the two dimensional case. Zbl 0663.65128
Miller, John J. H.
1987
BAIL IV: Proceedings of the Fourth International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, 7-11 July 1986, Novosibirsk, USSR. Zbl 0671.00016
Godunov, S. K. (ed.); Miller, J. J. H. (ed.); Novikov, V. A. (ed.)
1986
Advances in computational methods for boundary and interior layers. An International Short Course held in association with the BAIL III Conference, June 18-19, 1984, Trinity College, Dublin, Ireland. Zbl 0626.00027
Miller, J. J. H. (ed.)
1984
Corrections to the monograph ”Uniform numerical methods for problems with initial and boundary layers”. Zbl 0511.65055
Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A.
1982
An introduction to computational and asymptotic methods for boundary and interior layers. Lecture Notes of a Short Course held at Trinity College, Dublin from 14th to 15th June, 1982 in association with the BAIL II Conference. Zbl 0507.00014
Miller, J. J. H. (ed.)
1982
Computational and asymptotic methods for boundary and interior layers. Proceedings and interior layers. Proceedings of the BAIL II Conference held at Trinity College, Dublin from 16th to 18th June, 1982. Zbl 0507.00013
Miller, J. J. H. (ed.)
1982
Some finite difference schemes for a singular perturbation problem. Zbl 0446.65042
Miller, J. J. H.
1980
Construction of a fem for a singularly perturbed problem in 2 dimensions. Zbl 0336.65052
Miller, John J. H.
1976
On the type of a polynomial relative to a line - a special case. Zbl 0304.65032
Miller, John J. H.
1974
Radial limits of the rational functions $$'\Gamma\mu$$ of Harish-Chandra. Zbl 0184.17504
Miller, J. J. H.; Simms, D. J.
1969
A parameter-uniform numerical method for a boundary value problem for a singularly perturbed delay differential equation. Zbl 1319.65064
Manikandan, M.; Shivaranjani, N.; Miller, J. J. H.; Valarmathi, S.
2014
A parameter uniform method for an initial value problem for a system of singularly perturbed delay differential equations. Zbl 1319.65060
Shivaranjani, Nagarajan; Narasimhan, Ramanujam; Miller, J. J. H.; Valarmathi, Sigamani
2014
Parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system with discontinuous source terms. Zbl 1310.65084
Paramasivam, M.; Miller, J. J. H.; Valarmathi, S.
2014
Second order parameter-uniform convergence for a finite difference method for a partially singularly perturbed linear parabolic system. Zbl 1312.65144
Franklin, Victor; Miller, John J. H.; Valarmathi, Sigamani
2014
Second-order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system. Zbl 1279.65104
Franklin, V.; Paramasivam, M.; Miller, J. J. H.; Valarmathi, S.
2013
Second order parameter-uniform numerical method for a partially singularly perturbed linear system of reaction-diusion type. Zbl 1274.65203
Paramasivam, Mathiyazhagan; Miller, John J. H.; Valarmathi, Sigamani
2013
Fitted numerical methods for singular perturbation problems. Error estimates in the maximum norm for linear problems in one and two dimensions. Revised ed. Zbl 1243.65002
Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
2012
Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system. Zbl 1223.65062
Mathiyazhagan, Paramasivam; Valarmathi, Sigamani; Miller, John J. H.
2010
Solving a partially singularly perturbed initial value problem on Shishkin meshes. Zbl 1208.65099
Meenakshi, P. Maragatha; Valarmathi, S.; Miller, J. J. H.
2010
A parameter-uniform finite difference method for singularly perturbed linear dynamical systems. Zbl 1198.65123
Valarmathi, S.; Miller, John J. H.
2010
A parameter-uniform finite difference method for a singularly perturbed initial value problem: A special case. Zbl 1179.65097
Valarmathi, S.; Miller, J. J. H.
2009
A water quality computation in the uniform reservoir. Zbl 1173.76008
Pochai, Nopparat; Tangmanee, Suwon; Crane, Lawrence J.; Miller, John J. H.
2009
A water quality computation in the uniform channel. Zbl 1165.76006
Pochai, Nopparat; Tangmanee, Suwon; Crane, Lawrence J.; Miller, John J. H.
2008
Accurate and approximate analytic solutions of singularly perturbed differential equations with two-dimensional boundary layers. Zbl 1142.65385
Li, Zi-Cai; Tsai, Heng-Shuing; Wang, Song; Miller, John J. H.
2008
A parameter uniform numerical method for a system of singularly perturbed ordinary differential equations. Zbl 1193.65112
Hemavathi, S.; Bhuvaneswari, T.; Valarmathi, S.; Miller, J. J. H.
2007
A robust numerical method for flow through a pipe driven by an oscillating pressure gradient. Zbl 1370.76099
Ansari, Ali R.; Miller, John J. H.; Shishkin, Grigori I.
2007
Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient. Zbl 1075.65100
Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
2004
Singularly perturbed convection–diffusion problems with boundary and weak interior layers. Zbl 1041.65059
Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
2004
Grid approximation of a singularly perturbed boundary value problem modelling heat transfer in the case of flow over a flat plate with suction of the boundary layer. Zbl 1107.76371
Miller, J. J. H.; Shishkin, G. I.; Koren, B.; Shishkina, L. P.
2004
Numerical techniques for flow problems with singularities. Zbl 1032.76637
Farrell, Paul A.; Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
2003
Computing realistic Reynolds-uniform error bounds for discrete derivatives of flow velocities in the boundary layer for Prandtl’s problem. Zbl 1032.76638
Farrell, Paul A.; Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
2003
A Reynolds-uniform numerical method for the Prandtl solution and its derivatives for stagnation line flow. Zbl 1032.76640
Miller, John J. H.; Musgrave, Alison P.; Shishkin, Grigorii I.
2003
An experimental technique for computing parameter-uniform error estimates for numerical solutions of singular perturbation problems, with an application to Prandtl’s problem at high Reynolds number. Zbl 1113.76440
Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
2002
A second-order parameter-uniform overlapping Schwarz method for reaction-diffusion problems with boundary layers. Zbl 1010.65031
MacMullen, H.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
2001
Parameter-uniform fitted mesh method for quasilinear differential equations with boundary layers. Zbl 0977.34015
Farrell, P. A.; O’Riordan, E.; Miller, J. J. H.; Shishkin, G. I.
2001
A robust layer-resolving numerical method for plane stagnation point flow. Zbl 1052.76047
Miller, John J. H.; Musgrave, Alison P.; Shishkin, Grigorii I.
2001
Parameter-uniform numerical methods for a class of singularly perturbed problems with a Neumann boundary condition. Zbl 0978.65065
Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
2001
Numerical experiments for advection-diffusion problems in a channel with a $$180^\circ$$ bend. Zbl 1023.65112
Clavero, C.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
2001
Robust computational techniques for boundary layers. Zbl 0964.65083
Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
2000
A parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion problem with an interior layer. Zbl 0967.65086
Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.; Wang, S.
2000
On a fitted operator technique for singular perturbation equations. Zbl 0968.65077
Farrell, P. A.; Hegarty, A.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
1999
Fitted numerical methods for four simple convection-diffusion problems. Zbl 0945.65521
Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
1998
Fitted mesh methods for problems with parabolic boundary layers. Zbl 0934.65091
Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.; Shishkina, L. P.
1998
On the non-existence of $$\varepsilon$$-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems. Zbl 0892.65055
Farrell, Paul A.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
1998
An accurate numerical solution of a two dimensional heat transfer problem with a parabolic boundary layer. Zbl 0890.65105
Clavero, C.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
1998
The necessity of fitted operators and Shishkin meshes for resolving thin layer phenomena. Zbl 0909.65051
Miller, John J. H.; O’Riordan, Eugene
1997
Analysis of Rayleigh-Lamb wave scattering by a crack in an elastic plate. Zbl 0895.73013
Crane, L. J.; Gilchrist, M. D.; Miller, J. J. H.
1997
Fitted numerical methods for singular perturbation problems. Error estimates in the maximum norm for linear problems in one and two dimensions. Zbl 0915.65097
Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
1996
A uniformly convergent finite difference scheme for a singularly perturbed semilinear equation. Zbl 0856.34068
Farrell, Paul A.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigori I.
1996
On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems. Zbl 0814.65082
Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
1995
Special meshes for finite difference approximations to an advection- diffusion equation with parabolic layers. Zbl 0817.76041
Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I.
1995
On the design of piecewise uniform meshes for solving advection-dominated transport equations to a prescribed accuracy. Zbl 0880.76049
Farrell, Paul A.; Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
1995
Uniform convergence of arbitrary order on nonuniform meshes for a singularly perturbed boundary value problem. Zbl 0856.65089
Clavero, Carmelo; Lisbona, Francisco; Miller, John J. H.
1995
On a novel mesh for the regular boundary layers arising in advection- dominated transport in two dimensions. Zbl 0824.65100
Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I.
1995
A new non-conforming Petrov-Galerkin finite-element method with triangular elements for a singularly perturbed advection-diffusion problem. Zbl 0806.65111
Miller, J. J. H.; Wang, S.
1994
An exponentially fitted finite volume method for the numerical solution of 2D unsteady incompressible flow problems. Zbl 0810.76064
Miller, John J. H.; Wang, Song
1994
Use of central-difference operators for solution of singularly perturbed problems. Zbl 0815.65108
Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I.
1994
An analysis of the Scharfetter-Gummel box method for the stationary semiconductor device equations. Zbl 0820.65089
Miller, J. J. H.; Wang, Song
1994
A tetrahedral mixed finite element method for the stationary semiconductor continuity equations. Zbl 0797.65106
Miller, J. J. H.; Wang, S.
1994
On numerical experiments with central difference operators on special piecewise uniform meshes for problems with boundary layers. Zbl 0808.65101
Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I.
1994
Special numerical methods for convection-dominated laminar flows at arbitrary Reynolds number. Zbl 0808.76058
Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
1994
Applications of advanced computational methods for boundary and interior layers. Zbl 0782.00036
Miller, J. J. H. (ed.)
1993
Iterative and Petrov-Galerkin methods for solving a system of one- dimensional nonlinear elliptic equations. Zbl 0812.65077
Guo, Ben-yu; Miller, J. J. H.
1992
A second-order L-stable time discretisation of the semiconductor device equations. Zbl 0756.65139
Fitzsimons, Conor J.; Liu, Fawang; Miller, John J. H.
1992
A triangular mixed finite element method for the stationary semiconductor device equations. Zbl 0732.65114
Miller, J. J. H.; Wang, S.
1991
A simple recipe for uniformly convergent finite difference schemes for singularly perturbed problems. Zbl 0723.65094
Miller, John; Mullarkey, Edward; O’Riordan, Eugène; Shishkin, Grigorii
1991
An exponentially fitted finite element method for a stationary convection-diffusion problem. Zbl 0770.65072
Miller, J. J. H.; Wang, S.
1991
Computational methods for boundary and interior layers in several dimensions. Zbl 0753.00015
Miller, J. J. H. (ed.)
1991
Hexahedral finite elements for the stationary semiconductor device equations. Zbl 0725.65119
Fitzsimons, C. J.; Miller, J. J. H.; Wang, S.; Wu, C. H.
1990
An $$\varepsilon$$-uniformly convergent non-conforming finite element method for a singularly perturbed elliptic problem in two dimensions. Zbl 0752.65075
Miller, J. J. H.; Wang, S.
1990
A mixed finite element method for the stationary semiconductor continuity equations. Zbl 0675.65127
Miller, J. J. H.; Wang, S.; Wu, C. H.
1988
Petrov-Galerkin and Green’s function methods for nonlinear boundary value problems with applications to semiconductor devices. Zbl 0653.65060
Boglaev, I. P.; Miller, J. J. H.
1988
On the discretization of the semiconductor device equations in the two dimensional case. Zbl 0663.65128
Miller, John J. H.
1987
Optimal uniform difference schemes for linear initial-value problems. Zbl 0659.65072
Miller, J. J. H.
1986
On the inclusion of the recombination term in discretizations of the semiconductor device equations. Zbl 0598.65090
Miller, John J. H.
1986
BAIL IV: Proceedings of the Fourth International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, 7-11 July 1986, Novosibirsk, USSR. Zbl 0671.00016
Godunov, S. K. (ed.); Miller, J. J. H. (ed.); Novikov, V. A. (ed.)
1986
Petrov-Galerkin finite element methods with a hinged test space for singularly perturbed problems. Zbl 0584.65051
Fitzsimons, C.; Miller, J. J. H.; O’Riordan, E.
1985
Fitted Petrov-Galerkin methods for singularly perturbed boundary value problems. Zbl 0672.65066
Fitzsimons, C.; Miller, J. J. H.; O’Riordan, E.
1984
BAIL III: Proceedings of the Third International Conference on Boundary and Interior Layers – Computational and Asymptotic Methods, 20–22 June 1984, Trinity College, Dublin, Ireland. Zbl 0671.00015
Miller, J. J. H. (ed.)
1984
Advances in computational methods for boundary and interior layers. An International Short Course held in association with the BAIL III Conference, June 18-19, 1984, Trinity College, Dublin, Ireland. Zbl 0626.00027
Miller, J. J. H. (ed.)
1984
Uniform numerical methods for problems with initial and boundary layers. (Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem). Transl. from the English. Zbl 0527.65058
Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A.
1983
Corrections to the monograph ”Uniform numerical methods for problems with initial and boundary layers”. Zbl 0511.65055
Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A.
1982
An introduction to computational and asymptotic methods for boundary and interior layers. Lecture Notes of a Short Course held at Trinity College, Dublin from 14th to 15th June, 1982 in association with the BAIL II Conference. Zbl 0507.00014
Miller, J. J. H. (ed.)
1982
Computational and asymptotic methods for boundary and interior layers. Proceedings and interior layers. Proceedings of the BAIL II Conference held at Trinity College, Dublin from 16th to 18th June, 1982. Zbl 0507.00013
Miller, J. J. H. (ed.)
1982
Uniform numerical methods for problems with initial and boundary layers. Zbl 0459.65058
Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A.
1980
Uniform second order difference schemes for singular perturbation problems. Zbl 0455.76041
Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.
1980
Boundary and interior layers - computational and asymptotic methods. Proceedings of the BAIL I conference held at Trinity College, Dublin from 3rd to 6th June, 1980. Zbl 0425.00026
Miller, J. J. H. (ed.)
1980
Completely exponentially fitted finite difference schemes for some singular perturbation problems. Zbl 0441.65063
Carroll, John; Miller, J. J. H.
1980
Some finite difference schemes for a singular perturbation problem. Zbl 0446.65042
Miller, J. J. H.
1980
Numerical analysis of singular perturbation problems. Proceedings of the conference held at the University of Nijmegen, The Netherlands, May 30th to June 2nd, 1978. Zbl 0407.00011
Hemker, P. W. (ed.); Miller, J. J. H. (ed.)
1979
On the convergence, uniformly in $$\varepsilon$$, of difference schemes for a two point boundary singular perturbation problem. Zbl 0419.65051
Miller, John J. H.
1979
A finite element method for a two point boundary value problem with a small parameter affecting the highest derivative. Zbl 0384.65040
Miller, John J. H.
1978
Construction of a fem for a singularly perturbed problem in 2 dimensions. Zbl 0336.65052
Miller, John J. H.
1976
The stability properties of q-step backward difference schemes. Zbl 0311.65047
Creedon, David M.; Miller, John J. H.
1975
On the type of a polynomial relative to a line - a special case. Zbl 0304.65032
Miller, John J. H.
1974
On the stability of differential equations. Zbl 0256.34059
Miller, John J. H.
1972
On the location of zeros of certain classes of polynomials with applications to numerical analysis. Zbl 0232.65070
Miller, John J. H.
1971
Radial limits of the rational functions $$'\Gamma\mu$$ of Harish-Chandra. Zbl 0184.17504
Miller, J. J. H.; Simms, D. J.
1969
On power-bounded operators and operators satisfying a resolvent condition. Zbl 0166.41504
Miller, J. J. H.
1967
Matrix theorems for partial differential and difference equations. Zbl 0144.13404
Miller, John; Strang, G.
1966
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#### Cited by 883 Authors

 54 Kadalbajoo, Mohan K. 52 O’Riordan, Eugene 46 Shishkin, Grigoriĭ Ivanovich 40 Natesan, Srinivasan 38 Miller, John James Henry 31 Patidar, Kailash C. 29 Gracia, José Luis 29 Ramanujam, Narashimhan 27 Stynes, Martin 26 Clavero, Carmelo 26 Wang, Song 24 Amiraliyev, Gabil M. 22 Boglaev, Igor P. 20 Roos, Hans-Görg 20 Sharma, Kapil Kumar 18 Ramanujam, Narasimhan 17 Rao, S. Chandra Sekhara 16 Kumar, Sunil 16 Tamilselvan, Ayyadurai 15 Bawa, Rajesh Kumar 15 Vulanović, Relja 13 Kumar, Mukesh 13 Shanthi, V. G. 12 Hegarty, Alan F. 12 Li, Jichun 11 Linß, Torsten 11 Ramos, Juan I. 10 Jorge, Juan Carlos 10 Reddy, Yanala Narsimha 9 Ansari, Ali R. 9 Cen, Zhongdi 9 Kaushik, Aditya 9 Stojanović, Mirjana N. 9 Teofanov, Ljiljana 8 Farrell, Paul A. 8 Franz, Sebastian 8 Munyakazi, Justin B. 8 Rai, Pratima 8 Shishkina, Lidia P. 8 Sigamani, Valarmathi 8 Valarmathi, Sigamani 7 Erdogan, Fevzi 7 Kumar, Devendra 7 Lisbona Cortés, Francisco Javier 7 Salama, Abdelhay A. 7 Subburayan, V. 7 Surla, Katarina 7 Uzelac, Zorica 7 Valanarasu, T. 7 Wang, Yuanming 7 Xenophontos, Christos A. 7 Zadorin, Aleksandr Ivanovich 6 Çakır, Musa 6 Chandru, M. 6 Gupta, Vikas 6 Li, Zi-Cai 6 Liang, Zhao-Zheng 6 Lin, Pengcheng 6 Ramesh, V. P. 6 Zhang, Guofeng 6 Zhang, Naimin 5 Aziz, Tariq 5 Bai, Zhongzhi 5 Chawla, Sheetal 5 Duru, Hakki 5 Herceg, Dragoslav 5 Jackiewicz, Zdzislaw 5 Jayakumar, J. 5 Kopteva, Natalia Viktorovna 5 Kudu, Mustafa 5 Kumar, Vinod 5 Mohapatra, Jugal 5 Mukherjee, Kaushik 5 Pickett, Maria L. 5 Pochai, Nopparat 5 Prabha, T. 5 Quinn, Jason 5 Shanthi, Vembu 5 Vigo-Aguiar, Jesus 5 Xu, Aimin 4 Amiraliyeva, Ilhame G. 4 Angermann, Lutz 4 Arora, Puneet 4 Awasthi, Ashish 4 Babu, A. Ramesh 4 Blatov, Igor A. 4 Chernogorova, Tatiana P. 4 Cimen, Erkan 4 Gowrisankar, S. 4 Kitaeva, E. V. 4 Kumar, Vivek 4 Lal, Arvind Kumar 4 Le, Anbo 4 Liu, Fawang 4 Liu, Li-Bin 4 Mackenzie, John A. 4 Madden, Niall 4 Mohanty, Ranjan Kumar 4 Navon, Ionel Michael 4 Nhan, Thái Anh ...and 783 more Authors
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#### Cited in 138 Serials

 158 Applied Mathematics and Computation 114 Journal of Computational and Applied Mathematics 61 Computers & Mathematics with Applications 57 International Journal of Computer Mathematics 55 Applied Numerical Mathematics 31 Numerical Algorithms 26 Applied Mathematics and Mechanics. (English Edition) 24 Computer Methods in Applied Mechanics and Engineering 24 Mathematics of Computation 22 Journal of Computational Physics 20 Journal of Optimization Theory and Applications 20 Numerische Mathematik 16 International Journal of Applied and Computational Mathematics 14 Journal of Mathematical Analysis and Applications 14 Numerical Methods for Partial Differential Equations 14 Computational Mathematics and Mathematical Physics 13 Advances in Difference Equations 12 BIT 12 Computing 12 Journal of Applied Mathematics and Computing 10 Applied Mathematics Letters 10 International Journal of Computational Methods 9 Advances in Computational Mathematics 8 Mathematical and Computer Modelling 8 Applied Mathematical Modelling 7 International Journal for Numerical Methods in Fluids 7 Calcolo 7 Journal of Scientific Computing 7 Computational and Applied Mathematics 6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 6 Mathematics and Computers in Simulation 6 Numerical Functional Analysis and Optimization 6 Linear Algebra and its Applications 6 Differential Equations and Dynamical Systems 5 International Journal for Numerical Methods in Engineering 5 Journal of Difference Equations and Applications 5 Journal of Applied Mathematics & Informatics 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Computational Mathematics and Modeling 4 Communications in Numerical Methods in Engineering 4 Computational Methods in Applied Mathematics 4 Proceedings of the Steklov Institute of Mathematics 3 Computers and Fluids 3 Journal of Engineering Mathematics 3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 3 Quaestiones Mathematicae 3 SIAM Journal on Numerical Analysis 3 Journal of Mathematical Chemistry 3 Communications in Nonlinear Science and Numerical Simulation 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Mediterranean Journal of Mathematics 3 BIT. Nordisk Tidskrift for Informationsbehandling 3 International Journal of Differential Equations 2 Bulletin of the Australian Mathematical Society 2 Computer Physics Communications 2 Automatica 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Applicandae Mathematicae 2 COMPEL 2 SIAM Journal on Scientific Computing 2 ETNA. Electronic Transactions on Numerical Analysis 2 Engineering Analysis with Boundary Elements 2 Reliable Computing 2 Arab Journal of Mathematical Sciences 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Differential Equations 2 Journal of Applied Mathematics 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Journal of Numerical Mathematics 2 Boundary Value Problems 2 International Journal of Control, I. Series 2 Nonlinear Analysis. Hybrid Systems 2 East Asian Journal on Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 International Journal of Heat and Mass Transfer 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 The Mathematical Intelligencer 1 Prikladnaya Matematika i Mekhanika 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Stochastic Analysis and Applications 1 Communications in Applied Numerical Methods 1 Annals of Operations Research 1 Neural Computation 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Celestial Mechanics ...and 38 more Serials
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#### Cited in 35 Fields

 923 Numerical analysis (65-XX) 391 Ordinary differential equations (34-XX) 312 Partial differential equations (35-XX) 88 Fluid mechanics (76-XX) 17 Integral equations (45-XX) 16 Biology and other natural sciences (92-XX) 14 Approximations and expansions (41-XX) 14 Mechanics of deformable solids (74-XX) 14 Optics, electromagnetic theory (78-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Systems theory; control (93-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Operations research, mathematical programming (90-XX) 4 Real functions (26-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX)