Edit Profile (opens in new tab) Miller, John James Henry Compute Distance To: Compute Author ID: miller.john-j-h Published as: Miller, John J. H.; Miller, J. J. H.; Miller, John; Miller, J. more...less External Links: MGP · Google Scholar · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 140 Publications since 1966, including 6 Books 23 Contributions as Editor Co-Authors: 65 Co-Authors with 120 Joint Publications 933 Co-Co-Authors all top 5 Co-Authors 41 single-authored 44 Shishkin, Grigoriĭ Ivanovich 39 O’Riordan, Eugene 26 Valarmathi, Sigamani 21 Hegarty, Alan F. 15 Farrell, Paul A. 15 Wang, Song 7 Crane, Lawrence John 5 Fitzsimons, Conor J. 5 Paramasivam, Mathiyazhagan 4 Kalaiselvan, Saravanasankar 4 Shivaranjani, Nagarajan 3 Clavero, Carmelo 3 Doolan, E. P. 3 Franklin, Victor 3 Ishwariya, Raj 3 Liu, Fawang 3 Pochai, Nopparat 3 Simms, David John 3 Tangmanee, Suwon 2 Browne, B. T. 2 Gahan, B. 2 Guo, Ben-Yu 2 Manikandan, Mariappan 2 Mariappan, Manikandan 2 Musgrave, Alison P. 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 Canfield, E. Rodney 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 Hassan, Osama Mohammad Mustafa Al-Haj 1 Hemavathi, S. 1 Hemker, Pieter W. 1 Kenny, Eoin M. 1 Koren, Barry 1 Li, Zi-Cai 1 Lisbona Cortés, Francisco Javier 1 MacMullen, H. 1 Meenakshi, P. Maragatha 1 Merlin, Johnson Princy 1 Mullarkey, Edward 1 Murphy, Finbarr 1 Nagarajan, Shivaranjani 1 Narasimhan, Ramanujam 1 Novikov, V. A. 1 Petrenko, E. A. 1 Ramanujam, Narasimhan 1 Ramaswamy, Lakshmish 1 Rasheed, Khaled 1 Reilly, M. J. O. 1 Saminathan, Parthiban 1 Shi, ong-ci 1 Sloane, Alan A. 1 Strang, William Gilbert 1 Tang, Min 1 Tsai, Heng-Shuing 1 Victor, Franklin all top 5 Serials 7 Journal of Computational and Applied Mathematics 6 Conference Series. Boole Press 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 3 Springer Proceedings in Mathematics & Statistics 3 Biomath 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 Advances in Numerical Computation Series 2 Advanced Computational Methods for Boundary and Interior Layers 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 Irish Mathematical Society Bulletin 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 all top 5 Fields 138 Numerical analysis (65-XX) 47 Ordinary differential equations (34-XX) 44 Partial differential equations (35-XX) 33 Fluid mechanics (76-XX) 24 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) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 1,848 times in 1,163 Documents Cited by ▼ Year ▼ Uniform numerical methods for problems with initial and boundary layers. Zbl 0459.65058Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A. 411 1980 Robust computational techniques for boundary layers. Zbl 0964.65083Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 354 2000 Fitted numerical methods for singular perturbation problems. Error estimates in the maximum norm for linear problems in one and two dimensions. Zbl 0915.65097Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I. 153 1996 Fitted numerical methods for four simple convection-diffusion problems. Zbl 0945.65521Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 128 1998 On the location of zeros of certain classes of polynomials with applications to numerical analysis. Zbl 0232.65070Miller, John J. H. 94 1971 Fitted numerical methods for singular perturbation problems. Error estimates in the maximum norm for linear problems in one and two dimensions. Revised ed. Zbl 1243.65002Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I. 77 2012 Fitted mesh methods for problems with parabolic boundary layers. Zbl 0934.65091Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.; Shishkina, L. P. 50 1998 Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient. Zbl 1075.65100Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 48 2004 On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems. Zbl 0814.65082Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 41 1995 Singularly perturbed convection–diffusion problems with boundary and weak interior layers. Zbl 1041.65059Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 38 2004 A new non-conforming Petrov-Galerkin finite-element method with triangular elements for a singularly perturbed advection-diffusion problem. Zbl 0806.65111Miller, J. J. H.; Wang, S. 34 1994 An exponentially fitted finite volume method for the numerical solution of 2D unsteady incompressible flow problems. Zbl 0810.76064Miller, John J. H.; Wang, Song 26 1994 A second-order parameter-uniform overlapping Schwarz method for reaction-diffusion problems with boundary layers. Zbl 1010.65031MacMullen, H.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 19 2001 A parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion problem with an interior layer. Zbl 0967.65086Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.; Wang, S. 19 2000 A uniformly convergent finite difference scheme for a singularly perturbed semilinear equation. Zbl 0856.34068Farrell, Paul A.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigori I. 18 1996 Special meshes for finite difference approximations to an advection- diffusion equation with parabolic layers. Zbl 0817.76041Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I. 18 1995 Second-order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system. Zbl 1279.65104Franklin, V.; Paramasivam, M.; Miller, J. J. H.; Valarmathi, S. 18 2013 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 17 1979 Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system. Zbl 1223.65062Mathiyazhagan, Paramasivam; Valarmathi, Sigamani; Miller, John J. H. 15 2010 A parameter uniform numerical method for a system of singularly perturbed ordinary differential equations. Zbl 1193.65112Hemavathi, S.; Bhuvaneswari, T.; Valarmathi, S.; Miller, J. J. H. 14 2007 Solving a partially singularly perturbed initial value problem on Shishkin meshes. Zbl 1208.65099Meenakshi, P. Maragatha; Valarmathi, S.; Miller, J. J. H. 11 2010 A parameter-uniform numerical method for a boundary value problem for a singularly perturbed delay differential equation. Zbl 1319.65064Manikandan, M.; Shivaranjani, N.; Miller, J. J. H.; Valarmathi, S. 11 2014 On the non-existence of \(\varepsilon\)-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems. Zbl 0892.65055Farrell, Paul A.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I. 10 1998 A parameter-uniform finite difference method for singularly perturbed linear dynamical systems. Zbl 1198.65123Valarmathi, S.; Miller, John J. H. 10 2010 Applications of advanced computational methods for boundary and interior layers. Zbl 0782.00036 9 1993 The stability properties of q-step backward difference schemes. Zbl 0311.65047Creedon, David M.; Miller, John J. H. 9 1975 Matrix theorems for partial differential and difference equations. Zbl 0144.13404Miller, John; Strang, G. 9 1966 Iterative and Petrov-Galerkin methods for solving a system of one- dimensional nonlinear elliptic equations. Zbl 0812.65077Guo, Ben-yu; Miller, J. J. H. 8 1992 A water quality computation in the uniform channel. Zbl 1165.76006Pochai, Nopparat; Tangmanee, Suwon; Crane, Lawrence J.; Miller, John J. H. 8 2008 A triangular mixed finite element method for the stationary semiconductor device equations. Zbl 0732.65114Miller, J. J. H.; Wang, S. 8 1991 Optimal uniform difference schemes for linear initial-value problems. Zbl 0659.65072Miller, J. J. H. 8 1986 Uniform second order difference schemes for singular perturbation problems. Zbl 0455.76041Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E. 7 1980 A tetrahedral mixed finite element method for the stationary semiconductor continuity equations. Zbl 0797.65106Miller, J. J. H.; Wang, S. 7 1994 Parameter-uniform fitted mesh method for quasilinear differential equations with boundary layers. Zbl 0977.34015Farrell, P. A.; O’Riordan, E.; Miller, J. J. H.; Shishkin, G. I. 7 2001 An analysis of the Scharfetter-Gummel box method for the stationary semiconductor device equations. Zbl 0820.65089Miller, J. J. H.; Wang, Song 7 1994 On power-bounded operators and operators satisfying a resolvent condition. Zbl 0166.41504Miller, J. J. H. 7 1967 Use of central-difference operators for solution of singularly perturbed problems. Zbl 0815.65108Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I. 6 1994 A parameter uniform essentially first-order convergent numerical method for a parabolic system of singularly perturbed differential equations of reaction-diffusion type with initial and Robin boundary conditions. Zbl 07012060Ishwariya, R.; Miller, J. J. H.; Valarmathi, S. 5 2019 A simple recipe for uniformly convergent finite difference schemes for singularly perturbed problems. Zbl 0723.65094Miller, John; Mullarkey, Edward; O’Riordan, Eugène; Shishkin, Grigorii 5 1991 Second order parameter-uniform convergence for a finite difference method for a partially singularly perturbed linear parabolic system. Zbl 1312.65144Franklin, Victor; Miller, John J. H.; Valarmathi, Sigamani 4 2014 Parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system with discontinuous source terms. Zbl 1310.65084Paramasivam, M.; Miller, J. J. H.; Valarmathi, S. 4 2014 A parameter uniform method for an initial value problem for a system of singularly perturbed delay differential equations. Zbl 1319.65060Shivaranjani, Nagarajan; Narasimhan, Ramanujam; Miller, J. J. H.; Valarmathi, Sigamani 4 2014 A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations. Zbl 1427.65124Kalaiselvan, Saravana Sankar; Miller, John J. H.; Sigamani, Valarmathi 3 2019 Completely exponentially fitted finite difference schemes for some singular perturbation problems. Zbl 0441.65063Carroll, John; Miller, J. J. H. 3 1980 An accurate numerical solution of a two dimensional heat transfer problem with a parabolic boundary layer. Zbl 0890.65105Clavero, C.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I. 3 1998 On the inclusion of the recombination term in discretizations of the semiconductor device equations. Zbl 0598.65090Miller, John J. H. 3 1986 Petrov-Galerkin and Green’s function methods for nonlinear boundary value problems with applications to semiconductor devices. Zbl 0653.65060Boglaev, I. P.; Miller, J. J. H. 3 1988 A parameter-uniform finite difference method for a singularly perturbed initial value problem: A special case. Zbl 1179.65097Valarmathi, S.; Miller, J. J. H. 3 2009 Uniform convergence of arbitrary order on nonuniform meshes for a singularly perturbed boundary value problem. Zbl 0856.65089Clavero, Carmelo; Lisbona, Francisco; Miller, John J. H. 3 1995 Accurate and approximate analytic solutions of singularly perturbed differential equations with two-dimensional boundary layers. Zbl 1142.65385Li, Zi-Cai; Tsai, Heng-Shuing; Wang, Song; Miller, John J. H. 3 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 1107.76371Miller, J. J. H.; Shishkin, G. I.; Koren, B.; Shishkina, L. P. 3 2004 Second order parameter-uniform numerical method for a partially singularly perturbed linear system of reaction-diusion type. Zbl 1274.65203Paramasivam, Mathiyazhagan; Miller, John J. H.; Valarmathi, Sigamani 3 2013 The necessity of fitted operators and Shishkin meshes for resolving thin layer phenomena. Zbl 0909.65051Miller, John J. H.; O’Riordan, Eugene 3 1997 A parameter-uniform first order convergent numerical method for a system of singularly perturbed second order delay differential equations. Zbl 1427.65099Mariappan, Manikandan; Miller, John J. H.; Sigamani, Valarmathi 2 2015 On numerical experiments with central difference operators on special piecewise uniform meshes for problems with boundary layers. Zbl 0808.65101Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I. 2 1994 Petrov-Galerkin finite element methods with a hinged test space for singularly perturbed problems. Zbl 0584.65051Fitzsimons, C.; Miller, J. J. H.; O’Riordan, E. 2 1985 A finite element method for a two point boundary value problem with a small parameter affecting the highest derivative. Zbl 0384.65040Miller, John J. H. 2 1978 Parameter-uniform numerical methods for a class of singularly perturbed problems with a Neumann boundary condition. Zbl 0978.65065Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 2 2001 Fitted Petrov-Galerkin methods for singularly perturbed boundary value problems. Zbl 0672.65066Fitzsimons, C.; Miller, J. J. H.; O’Riordan, E. 2 1984 A mixed finite element method for the stationary semiconductor continuity equations. Zbl 0675.65127Miller, J. J. H.; Wang, S.; Wu, C. H. 2 1988 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 1113.76440Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 2 2002 A water quality computation in the uniform reservoir. Zbl 1173.76008Pochai, Nopparat; Tangmanee, Suwon; Crane, Lawrence J.; Miller, John J. H. 2 2009 Hexahedral finite elements for the stationary semiconductor device equations. Zbl 0725.65119Fitzsimons, C. J.; Miller, J. J. H.; Wang, S.; Wu, C. H. 2 1990 On a novel mesh for the regular boundary layers arising in advection- dominated transport in two dimensions. Zbl 0824.65100Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I. 2 1995 Numerical techniques for flow problems with singularities. Zbl 1032.76637Farrell, Paul A.; Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I. 2 2003 On the design of piecewise uniform meshes for solving advection-dominated transport equations to a prescribed accuracy. Zbl 0880.76049Farrell, Paul A.; Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I. 2 1995 Analysis of Rayleigh-Lamb wave scattering by a crack in an elastic plate. Zbl 0895.73013Crane, L. J.; Gilchrist, M. D.; Miller, J. J. H. 2 1997 Uniform numerical methods for problems with initial and boundary layers. (Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem). Transl. from the English. Zbl 0527.65058Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A. 2 1983 On the stability of differential equations. Zbl 0256.34059Miller, John J. H. 2 1972 On the convergence, uniformly in \(\varepsilon\), of difference schemes for a two point boundary singular perturbation problem. Zbl 0419.65051Miller, John J. H. 2 1979 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 1 1980 Some finite difference schemes for a singular perturbation problem. Zbl 0446.65042Miller, J. J. H. 1 1980 A robust numerical method for flow through a pipe driven by an oscillating pressure gradient. Zbl 1370.76099Ansari, Ali R.; Miller, John J. H.; Shishkin, Grigori I. 1 2007 Special numerical methods for convection-dominated laminar flows at arbitrary Reynolds number. Zbl 0808.76058Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 1 1994 An \(\varepsilon\)-uniformly convergent non-conforming finite element method for a singularly perturbed elliptic problem in two dimensions. Zbl 0752.65075Miller, J. J. H.; Wang, S. 1 1990 Computational methods for boundary and interior layers in several dimensions. Zbl 0753.00015 1 1991 A second-order L-stable time discretisation of the semiconductor device equations. Zbl 0756.65139Fitzsimons, Conor J.; Liu, Fawang; Miller, John J. H. 1 1992 A robust layer-resolving numerical method for plane stagnation point flow. Zbl 1052.76047Miller, John J. H.; Musgrave, Alison P.; Shishkin, Grigorii I. 1 2001 On the discretization of the semiconductor device equations in the two dimensional case. Zbl 0663.65128Miller, John J. H. 1 1987 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 1 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 1 1984 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 1 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 1 1982 Corrections to the monograph ”Uniform numerical methods for problems with initial and boundary layers”. Zbl 0511.65055Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A. 1 1982 Construction of a fem for a singularly perturbed problem in 2 dimensions. Zbl 0336.65052Miller, John J. H. 1 1976 Inverse average type tetrahedral finite-element schemes for the stationary semiconductor device equations. Zbl 0797.65107Liu, Fawang; Miller, John J. H. 1 1992 An exponentially fitted finite element method for a stationary convection-diffusion problem. Zbl 0770.65072Miller, J. J. H.; Wang, S. 1 1991 On a fitted operator technique for singular perturbation equations. Zbl 0968.65077Farrell, P. A.; Hegarty, A.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 1 1999 Numerical experiments for advection-diffusion problems in a channel with a \(180^\circ\) bend. Zbl 1023.65112Clavero, C.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 1 2001 Numerical methods for finance. Selected papers based on the presentations at the international conference on ‘Numerical methods for finance’ Dublin, Ireland, June 2006. Zbl 1134.91002Appleby, John A. D.; Edelman, David C.; Miller, John J. H. 1 2008 A Reynolds-uniform numerical method for the Prandtl solution and its derivatives for stagnation line flow. Zbl 1032.76640Miller, John J. H.; Musgrave, Alison P.; Shishkin, Grigorii I. 1 2003 Computing realistic Reynolds-uniform error bounds for discrete derivatives of flow velocities in the boundary layer for Prandtl’s problem. Zbl 1032.76638Farrell, Paul A.; Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I. 1 2003 A parameter uniform almost first order convergent numerical method for nonlinear system of singularly perturbed differential equations. Zbl 1466.92066Ishwariya, Raj; Merlin, Johnson Princy; Miller, J. J. H.; Valarmathi, Sigamani 1 2016 A parameter-uniform tailored finite point method for singularly perturbed linear ODE systems. Zbl 1299.65154Han, Houde; Miller, J. J. H.; Tang, Min 1 2013 Radial limits of the rational functions \('\Gamma\mu\) of Harish-Chandra. Zbl 0184.17504Miller, J. J. H.; Simms, D. J. 1 1969 A parameter uniform essentially first-order convergent numerical method for a parabolic system of singularly perturbed differential equations of reaction-diffusion type with initial and Robin boundary conditions. Zbl 07012060Ishwariya, R.; Miller, J. J. H.; Valarmathi, S. 5 2019 A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations. Zbl 1427.65124Kalaiselvan, Saravana Sankar; Miller, John J. H.; Sigamani, Valarmathi 3 2019 A parameter uniform almost first order convergent numerical method for nonlinear system of singularly perturbed differential equations. Zbl 1466.92066Ishwariya, Raj; Merlin, Johnson Princy; Miller, J. J. H.; Valarmathi, Sigamani 1 2016 A parameter-uniform first order convergent numerical method for a system of singularly perturbed second order delay differential equations. Zbl 1427.65099Mariappan, Manikandan; Miller, John J. H.; Sigamani, Valarmathi 2 2015 A parameter-uniform numerical method for a boundary value problem for a singularly perturbed delay differential equation. Zbl 1319.65064Manikandan, M.; Shivaranjani, N.; Miller, J. J. H.; Valarmathi, S. 11 2014 Second order parameter-uniform convergence for a finite difference method for a partially singularly perturbed linear parabolic system. Zbl 1312.65144Franklin, Victor; Miller, John J. H.; Valarmathi, Sigamani 4 2014 Parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system with discontinuous source terms. Zbl 1310.65084Paramasivam, M.; Miller, J. J. H.; Valarmathi, S. 4 2014 A parameter uniform method for an initial value problem for a system of singularly perturbed delay differential equations. Zbl 1319.65060Shivaranjani, Nagarajan; Narasimhan, Ramanujam; Miller, J. J. H.; Valarmathi, Sigamani 4 2014 Second-order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system. Zbl 1279.65104Franklin, V.; Paramasivam, M.; Miller, J. J. H.; Valarmathi, S. 18 2013 Second order parameter-uniform numerical method for a partially singularly perturbed linear system of reaction-diusion type. Zbl 1274.65203Paramasivam, Mathiyazhagan; Miller, John J. H.; Valarmathi, Sigamani 3 2013 A parameter-uniform tailored finite point method for singularly perturbed linear ODE systems. Zbl 1299.65154Han, Houde; Miller, J. J. H.; Tang, Min 1 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 1243.65002Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I. 77 2012 Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system. Zbl 1223.65062Mathiyazhagan, Paramasivam; Valarmathi, Sigamani; Miller, John J. H. 15 2010 Solving a partially singularly perturbed initial value problem on Shishkin meshes. Zbl 1208.65099Meenakshi, P. Maragatha; Valarmathi, S.; Miller, J. J. H. 11 2010 A parameter-uniform finite difference method for singularly perturbed linear dynamical systems. Zbl 1198.65123Valarmathi, S.; Miller, John J. H. 10 2010 A parameter-uniform finite difference method for a singularly perturbed initial value problem: A special case. Zbl 1179.65097Valarmathi, S.; Miller, J. J. H. 3 2009 A water quality computation in the uniform reservoir. Zbl 1173.76008Pochai, Nopparat; Tangmanee, Suwon; Crane, Lawrence J.; Miller, John J. H. 2 2009 A water quality computation in the uniform channel. Zbl 1165.76006Pochai, Nopparat; Tangmanee, Suwon; Crane, Lawrence J.; Miller, John J. H. 8 2008 Accurate and approximate analytic solutions of singularly perturbed differential equations with two-dimensional boundary layers. Zbl 1142.65385Li, Zi-Cai; Tsai, Heng-Shuing; Wang, Song; Miller, John J. H. 3 2008 Numerical methods for finance. Selected papers based on the presentations at the international conference on ‘Numerical methods for finance’ Dublin, Ireland, June 2006. Zbl 1134.91002Appleby, John A. D.; Edelman, David C.; Miller, John J. H. 1 2008 A parameter uniform numerical method for a system of singularly perturbed ordinary differential equations. Zbl 1193.65112Hemavathi, S.; Bhuvaneswari, T.; Valarmathi, S.; Miller, J. J. H. 14 2007 A robust numerical method for flow through a pipe driven by an oscillating pressure gradient. Zbl 1370.76099Ansari, Ali R.; Miller, John J. H.; Shishkin, Grigori I. 1 2007 Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient. Zbl 1075.65100Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 48 2004 Singularly perturbed convection–diffusion problems with boundary and weak interior layers. Zbl 1041.65059Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 38 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 1107.76371Miller, J. J. H.; Shishkin, G. I.; Koren, B.; Shishkina, L. P. 3 2004 Numerical techniques for flow problems with singularities. Zbl 1032.76637Farrell, Paul A.; Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I. 2 2003 A Reynolds-uniform numerical method for the Prandtl solution and its derivatives for stagnation line flow. Zbl 1032.76640Miller, John J. H.; Musgrave, Alison P.; Shishkin, Grigorii I. 1 2003 Computing realistic Reynolds-uniform error bounds for discrete derivatives of flow velocities in the boundary layer for Prandtl’s problem. Zbl 1032.76638Farrell, Paul A.; Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I. 1 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 1113.76440Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 2 2002 A second-order parameter-uniform overlapping Schwarz method for reaction-diffusion problems with boundary layers. Zbl 1010.65031MacMullen, H.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 19 2001 Parameter-uniform fitted mesh method for quasilinear differential equations with boundary layers. Zbl 0977.34015Farrell, P. A.; O’Riordan, E.; Miller, J. J. H.; Shishkin, G. I. 7 2001 Parameter-uniform numerical methods for a class of singularly perturbed problems with a Neumann boundary condition. Zbl 0978.65065Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 2 2001 A robust layer-resolving numerical method for plane stagnation point flow. Zbl 1052.76047Miller, John J. H.; Musgrave, Alison P.; Shishkin, Grigorii I. 1 2001 Numerical experiments for advection-diffusion problems in a channel with a \(180^\circ\) bend. Zbl 1023.65112Clavero, C.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 1 2001 Robust computational techniques for boundary layers. Zbl 0964.65083Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 354 2000 A parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion problem with an interior layer. Zbl 0967.65086Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.; Wang, S. 19 2000 On a fitted operator technique for singular perturbation equations. Zbl 0968.65077Farrell, P. A.; Hegarty, A.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 1 1999 Fitted numerical methods for four simple convection-diffusion problems. Zbl 0945.65521Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 128 1998 Fitted mesh methods for problems with parabolic boundary layers. Zbl 0934.65091Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.; Shishkina, L. P. 50 1998 On the non-existence of \(\varepsilon\)-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems. Zbl 0892.65055Farrell, Paul A.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I. 10 1998 An accurate numerical solution of a two dimensional heat transfer problem with a parabolic boundary layer. Zbl 0890.65105Clavero, C.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I. 3 1998 The necessity of fitted operators and Shishkin meshes for resolving thin layer phenomena. Zbl 0909.65051Miller, John J. H.; O’Riordan, Eugene 3 1997 Analysis of Rayleigh-Lamb wave scattering by a crack in an elastic plate. Zbl 0895.73013Crane, L. J.; Gilchrist, M. D.; Miller, J. J. H. 2 1997 Fitted numerical methods for singular perturbation problems. Error estimates in the maximum norm for linear problems in one and two dimensions. Zbl 0915.65097Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I. 153 1996 A uniformly convergent finite difference scheme for a singularly perturbed semilinear equation. Zbl 0856.34068Farrell, Paul A.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigori I. 18 1996 On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems. Zbl 0814.65082Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 41 1995 Special meshes for finite difference approximations to an advection- diffusion equation with parabolic layers. Zbl 0817.76041Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I. 18 1995 Uniform convergence of arbitrary order on nonuniform meshes for a singularly perturbed boundary value problem. Zbl 0856.65089Clavero, Carmelo; Lisbona, Francisco; Miller, John J. H. 3 1995 On a novel mesh for the regular boundary layers arising in advection- dominated transport in two dimensions. Zbl 0824.65100Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I. 2 1995 On the design of piecewise uniform meshes for solving advection-dominated transport equations to a prescribed accuracy. Zbl 0880.76049Farrell, Paul A.; Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I. 2 1995 A new non-conforming Petrov-Galerkin finite-element method with triangular elements for a singularly perturbed advection-diffusion problem. Zbl 0806.65111Miller, J. J. H.; Wang, S. 34 1994 An exponentially fitted finite volume method for the numerical solution of 2D unsteady incompressible flow problems. Zbl 0810.76064Miller, John J. H.; Wang, Song 26 1994 A tetrahedral mixed finite element method for the stationary semiconductor continuity equations. Zbl 0797.65106Miller, J. J. H.; Wang, S. 7 1994 An analysis of the Scharfetter-Gummel box method for the stationary semiconductor device equations. Zbl 0820.65089Miller, J. J. H.; Wang, Song 7 1994 Use of central-difference operators for solution of singularly perturbed problems. Zbl 0815.65108Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I. 6 1994 On numerical experiments with central difference operators on special piecewise uniform meshes for problems with boundary layers. Zbl 0808.65101Hegarty, Alan F.; Miller, John J. H.; O’Riordan, Eugene; Shishkin, G. I. 2 1994 Special numerical methods for convection-dominated laminar flows at arbitrary Reynolds number. Zbl 0808.76058Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 1 1994 Applications of advanced computational methods for boundary and interior layers. Zbl 0782.00036 9 1993 Iterative and Petrov-Galerkin methods for solving a system of one- dimensional nonlinear elliptic equations. Zbl 0812.65077Guo, Ben-yu; Miller, J. J. H. 8 1992 A second-order L-stable time discretisation of the semiconductor device equations. Zbl 0756.65139Fitzsimons, Conor J.; Liu, Fawang; Miller, John J. H. 1 1992 Inverse average type tetrahedral finite-element schemes for the stationary semiconductor device equations. Zbl 0797.65107Liu, Fawang; Miller, John J. H. 1 1992 A triangular mixed finite element method for the stationary semiconductor device equations. Zbl 0732.65114Miller, J. J. H.; Wang, S. 8 1991 A simple recipe for uniformly convergent finite difference schemes for singularly perturbed problems. Zbl 0723.65094Miller, John; Mullarkey, Edward; O’Riordan, Eugène; Shishkin, Grigorii 5 1991 Computational methods for boundary and interior layers in several dimensions. Zbl 0753.00015 1 1991 An exponentially fitted finite element method for a stationary convection-diffusion problem. Zbl 0770.65072Miller, J. J. H.; Wang, S. 1 1991 Hexahedral finite elements for the stationary semiconductor device equations. Zbl 0725.65119Fitzsimons, C. J.; Miller, J. J. H.; Wang, S.; Wu, C. H. 2 1990 An \(\varepsilon\)-uniformly convergent non-conforming finite element method for a singularly perturbed elliptic problem in two dimensions. Zbl 0752.65075Miller, J. J. H.; Wang, S. 1 1990 Petrov-Galerkin and Green’s function methods for nonlinear boundary value problems with applications to semiconductor devices. Zbl 0653.65060Boglaev, I. P.; Miller, J. J. H. 3 1988 A mixed finite element method for the stationary semiconductor continuity equations. Zbl 0675.65127Miller, J. J. H.; Wang, S.; Wu, C. H. 2 1988 On the discretization of the semiconductor device equations in the two dimensional case. Zbl 0663.65128Miller, John J. H. 1 1987 Optimal uniform difference schemes for linear initial-value problems. Zbl 0659.65072Miller, J. J. H. 8 1986 On the inclusion of the recombination term in discretizations of the semiconductor device equations. Zbl 0598.65090Miller, John J. H. 3 1986 Petrov-Galerkin finite element methods with a hinged test space for singularly perturbed problems. Zbl 0584.65051Fitzsimons, C.; Miller, J. J. H.; O’Riordan, E. 2 1985 Fitted Petrov-Galerkin methods for singularly perturbed boundary value problems. Zbl 0672.65066Fitzsimons, C.; Miller, J. J. H.; O’Riordan, E. 2 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 1 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 1 1984 Uniform numerical methods for problems with initial and boundary layers. (Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem). Transl. from the English. Zbl 0527.65058Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A. 2 1983 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 1 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 1 1982 Corrections to the monograph ”Uniform numerical methods for problems with initial and boundary layers”. Zbl 0511.65055Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A. 1 1982 Uniform numerical methods for problems with initial and boundary layers. Zbl 0459.65058Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A. 411 1980 Uniform second order difference schemes for singular perturbation problems. Zbl 0455.76041Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E. 7 1980 Completely exponentially fitted finite difference schemes for some singular perturbation problems. Zbl 0441.65063Carroll, John; Miller, J. J. H. 3 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 1 1980 Some finite difference schemes for a singular perturbation problem. Zbl 0446.65042Miller, J. J. H. 1 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 17 1979 On the convergence, uniformly in \(\varepsilon\), of difference schemes for a two point boundary singular perturbation problem. Zbl 0419.65051Miller, John J. H. 2 1979 A finite element method for a two point boundary value problem with a small parameter affecting the highest derivative. Zbl 0384.65040Miller, John J. H. 2 1978 Construction of a fem for a singularly perturbed problem in 2 dimensions. Zbl 0336.65052Miller, John J. H. 1 1976 The stability properties of q-step backward difference schemes. Zbl 0311.65047Creedon, David M.; Miller, John J. H. 9 1975 On the stability of differential equations. Zbl 0256.34059Miller, John J. H. 2 1972 On the location of zeros of certain classes of polynomials with applications to numerical analysis. Zbl 0232.65070Miller, John J. H. 94 1971 Radial limits of the rational functions \('\Gamma\mu\) of Harish-Chandra. Zbl 0184.17504Miller, J. J. H.; Simms, D. J. 1 1969 On power-bounded operators and operators satisfying a resolvent condition. Zbl 0166.41504Miller, J. J. H. 7 1967 Matrix theorems for partial differential and difference equations. Zbl 0144.13404Miller, John; Strang, G. 9 1966 all cited Publications top 5 cited Publications all top 5 Cited by 923 Authors 54 Kadalbajoo, Mohan K. 53 O’Riordan, Eugene 49 Shishkin, Grigoriĭ Ivanovich 42 Natesan, Srinivasan 40 Miller, John James Henry 32 Patidar, Kailash C. 31 Gracia, José Luis 28 Clavero, Carmelo 27 Stynes, Martin 26 Wang, Song 25 Amiraliyev, Gabil M. 23 Kumar, Sunil 23 Tamilselvan, Ayyadurai 22 Roos, Hans-Görg 22 Sharma, Kapil Kumar 21 Boglaev, Igor P. 20 Valarmathi, Sigamani 19 Rao, S. Chandra Sekhara 16 Duressa, Gemechis File 16 Vulanović, Relja 15 Bawa, Rajesh Kumar 14 Hegarty, Alan F. 14 Kumar, Mukesh 13 Mohapatra, Jugal 12 Jorge, Juan Carlos 12 Munyakazi, Justin B. 11 Çakır, Musa 11 Cen, Zhongdi 11 Li, Jichun 11 Linß, Torsten 11 Rai, Pratima 11 Ramos, Juan I. 11 Shishkina, Lidia P. 11 Vigo-Aguiar, Jesus 10 Stojanović, Mirjana N. 10 Teofanov, Ljiljana 9 Ansari, Ali R. 9 Erdogan, Fevzi 9 Kaushik, Aditya 9 Kudu, Mustafa 9 Ramesh, V. P. 9 Subburayan, Veerasamy 8 Farrell, Paul A. 8 Gupta, Vikas 8 Ramos, Higinio 8 Reddy, Yanala Narsimha 8 Wang, Yuanming 8 Xenophontos, Christos A. 8 Zadorin, Aleksandr Ivanovich 7 Cimen, Erkan 7 Franz, Sebastian 7 Lisbona Cortés, Francisco Javier 7 Surla, Katarina 7 Uzelac, Zorica 7 Valanarasu, T. 7 Xu, Aimin 6 Amirali, Ilhame 6 Chakravarthy, P. Pramod 6 Chandru, M. 6 Chawla, Sheetal 6 Debela, Habtamu Garoma 6 Kopteva, Natalia Viktorovna 6 Kumar, Devendra 6 Le, Anbo 6 Li, Zi-Cai 6 Liang, Zhaozheng 6 Lin, Pengcheng 6 Liu, Li-Bin 6 Mukherjee, Kaushik 6 Nhan, Thái Anh 6 Pickett, Maria L. 6 Sumit, S. 6 Zhang, Guofeng 6 Zhang, Naimin 5 Bai, Zhongzhi 5 Chernogorova, Tatiana P. 5 Duru, Hakki 5 Herceg, Dragoslav 5 Huang, Zhongyi 5 Jackiewicz, Zdzislaw 5 Jayakumar, J. 5 Kumar, Vinod 5 Mariappan, Manikandan 5 Mohanty, Ranjan Kumar 5 Pochai, Nopparat 5 Prabha, T. 5 Prithvi, M. 5 Quinn, Jason 5 Ramanujam, Narasimhan 5 Ravi Kanth, A. S. V. 5 Roja, J. Christy 5 Vulkov, Lubin G. 5 Woldaregay, Mesfin Mekuria 5 Zhang, Jin 4 Amiraliyeva, Ilhame G. 4 Angermann, Lutz 4 Arora, Puneet Kumar 4 Awasthi, Ashish 4 Aziz, Tariq 4 Babu, A. Ramesh ...and 823 more Authors all top 5 Cited in 162 Serials 160 Applied Mathematics and Computation 124 Journal of Computational and Applied Mathematics 71 International Journal of Computer Mathematics 62 Computers & Mathematics with Applications 55 Applied Numerical Mathematics 33 Numerical Algorithms 26 Applied Mathematics and Mechanics. 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Modélisation Mathématique et Analyse Numérique 4 Computational Mathematics and Modeling 4 Communications in Numerical Methods in Engineering 4 Journal of Mathematical Chemistry 4 Abstract and Applied Analysis 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 SIAM Journal on Scientific Computing 3 Engineering Analysis with Boundary Elements 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 BIT. Nordisk Tidskrift for Informationsbehandling 3 East Asian Journal on Applied Mathematics 2 Bulletin of the Australian Mathematical Society 2 Computer Physics Communications 2 International Journal of Mathematics and Mathematical Sciences 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Applicandae Mathematicae 2 COMPEL 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Turkish Journal of Mathematics 2 ETNA. Electronic Transactions on Numerical Analysis 2 Reliable Computing 2 Arab Journal of Mathematical Sciences 2 Mathematical Problems in Engineering 2 Mathematical Communications 2 Soft Computing 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Communications of the Korean Mathematical Society 2 Communications in Nonlinear Science and Numerical Simulation 2 Lobachevskii Journal of 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 Hacettepe Journal of Mathematics and Statistics 2 Boundary Value Problems 2 International Journal of Control, I. Series 2 Nonlinear Analysis. Hybrid Systems 2 Journal of Mathematical Modeling 2 Nonlinear Analysis. Theory, Methods & Applications 2 Iranian Journal of Numerical Analysis and Optimization 2 Computational Methods for Differential Equations 2 Applied Mathematics and Nonlinear Sciences 1 Applicable Analysis 1 International Journal of Heat and Mass Transfer 1 Indian Journal of Pure & Applied Mathematics 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 Chaos, Solitons and Fractals 1 The Mathematical Intelligencer ...and 62 more Serials all top 5 Cited in 36 Fields 1,067 Numerical analysis (65-XX) 414 Ordinary differential equations (34-XX) 359 Partial differential equations (35-XX) 99 Fluid mechanics (76-XX) 25 Integral equations (45-XX) 17 Approximations and expansions (41-XX) 16 Biology and other natural sciences (92-XX) 15 Mechanics of deformable solids (74-XX) 15 Optics, electromagnetic theory (78-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Operations research, mathematical programming (90-XX) 7 Systems theory; control (93-XX) 5 Real functions (26-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Operator theory (47-XX) 4 Mechanics of particles and systems (70-XX) 3 Computer science (68-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 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Geophysics (86-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 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Quantum theory (81-XX) Citations by Year