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Miller, John James Henry

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Author ID: miller.john-j-h Recent zbMATH articles by "Miller, John James Henry"
Published as: Miller, John J. H.; Miller, J. J. H.; Miller, John; Miller, J.
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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
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 Biomath
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

Publications by Year

Citations contained in zbMATH Open

90 Publications have been cited 1,714 times in 1,093 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.
383
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.
338
2000
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.
139
1996
Fitted numerical methods for four simple convection-diffusion problems. Zbl 0945.65521
Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
127
1998
On the location of zeros of certain classes of polynomials with applications to numerical analysis. Zbl 0232.65070
Miller, John J. H.
93
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 1243.65002
Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
60
2012
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.
44
1998
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.
43
2004
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.
41
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.
34
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.
33
2004
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
26
1994
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.
18
2001
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.
17
1996
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.
17
2000
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.
17
1995
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 parabolic system. Zbl 1279.65104
Franklin, V.; Paramasivam, M.; Miller, J. J. H.; Valarmathi, S.
14
2013
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.
13
2007
Solving a partially singularly perturbed initial value problem on Shishkin meshes. Zbl 1208.65099
Meenakshi, P. Maragatha; Valarmathi, S.; Miller, J. J. H.
11
2010
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.
11
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.
10
1998
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 0311.65047
Creedon, David M.; Miller, John J. H.
9
1975
Matrix theorems for partial differential and difference equations. Zbl 0144.13404
Miller, John; Strang, G.
9
1966
Optimal uniform difference schemes for linear initial-value problems. Zbl 0659.65072
Miller, J. J. H.
8
1986
A parameter-uniform finite difference method for singularly perturbed linear dynamical systems. Zbl 1198.65123
Valarmathi, S.; Miller, John J. H.
8
2010
A water quality computation in the uniform channel. Zbl 1165.76006
Pochai, 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 0732.65114
Miller, J. J. H.; Wang, S.
8
1991
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.
7
2001
On power-bounded operators and operators satisfying a resolvent condition. Zbl 0166.41504
Miller, J. J. H.
7
1967
Uniform second order difference schemes for singular perturbation problems. Zbl 0455.76041
Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.
7
1980
An analysis of the Scharfetter-Gummel box method for the stationary semiconductor device equations. Zbl 0820.65089
Miller, J. J. H.; Wang, Song
6
1994
A tetrahedral mixed finite element method for the stationary semiconductor continuity equations. Zbl 0797.65106
Miller, J. J. H.; Wang, S.
6
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.
6
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.
6
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.
6
2014
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
5
1991
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.
4
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
4
2014
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.
3
2008
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.
3
1998
The necessity of fitted operators and Shishkin meshes for resolving thin layer phenomena. Zbl 0909.65051
Miller, John J. H.; O’Riordan, Eugene
3
1997
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.
3
2004
On the inclusion of the recombination term in discretizations of the semiconductor device equations. Zbl 0598.65090
Miller, John J. H.
3
1986
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.
3
2009
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.
3
1995
Completely exponentially fitted finite difference schemes for some singular perturbation problems. Zbl 0441.65063
Carroll, John; Miller, J. J. H.
3
1980
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.
2
1978
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.
2
1988
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.
2
1995
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.
2
1997
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.
2
1994
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.
2
2001
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.
2
2003
On the convergence, uniformly in \(\varepsilon\), of difference schemes for a two point boundary singular perturbation problem. Zbl 0419.65051
Miller, John J. H.
2
1979
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.
2
1985
A water quality computation in the uniform reservoir. Zbl 1173.76008
Pochai, Nopparat; Tangmanee, Suwon; Crane, Lawrence J.; Miller, John J. H.
2
2009
On the stability of differential equations. Zbl 0256.34059
Miller, John J. H.
2
1972
Fitted Petrov-Galerkin methods for singularly perturbed boundary value problems. Zbl 0672.65066
Fitzsimons, C.; Miller, J. J. H.; O’Riordan, E.
2
1984
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
2
2014
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.
2
1983
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.
2
2002
A mixed finite element method for the stationary semiconductor continuity equations. Zbl 0675.65127
Miller, J. J. H.; Wang, S.; Wu, C. H.
2
1988
Hexahedral finite elements for the stationary semiconductor device equations. Zbl 0725.65119
Fitzsimons, C. J.; Miller, J. J. H.; Wang, S.; Wu, C. H.
2
1990
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
2
2013
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.
2
1995
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
On the discretization of the semiconductor device equations in the two dimensional case. Zbl 0663.65128
Miller, 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
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.
1
1994
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.
1
1999
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.
1
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.
1
2001
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.
1
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.
1
2003
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
A second-order L-stable time discretisation of the semiconductor device equations. Zbl 0756.65139
Fitzsimons, Conor J.; Liu, Fawang; Miller, John J. H.
1
1992
Inverse average type tetrahedral finite-element schemes for the stationary semiconductor device equations. Zbl 0797.65107
Liu, Fawang; Miller, John J. H.
1
1992
An exponentially fitted finite element method for a stationary convection-diffusion problem. Zbl 0770.65072
Miller, J. J. H.; Wang, S.
1
1991
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.
1
2007
Construction of a fem for a singularly perturbed problem in 2 dimensions. Zbl 0336.65052
Miller, John J. H.
1
1976
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.
1
1990
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 07012060
Ishwariya, R.; Miller, J. J. H.; Valarmathi, S.
1
2019
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 0511.65055
Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A.
1
1982
A parameter-uniform tailored finite point method for singularly perturbed linear ODE systems. Zbl 1299.65154
Han, Houde; Miller, J. J. H.; Tang, Min
1
2013
Some finite difference schemes for a singular perturbation problem. Zbl 0446.65042
Miller, J. J. H.
1
1980
Radial limits of the rational functions \('\Gamma\mu\) of Harish-Chandra. Zbl 0184.17504
Miller, 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 07012060
Ishwariya, R.; Miller, J. J. H.; Valarmathi, S.
1
2019
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.
6
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.
4
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
4
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
2
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.
14
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
2
2013
A parameter-uniform tailored finite point method for singularly perturbed linear ODE systems. Zbl 1299.65154
Han, 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 1243.65002
Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
60
2012
Solving a partially singularly perturbed initial value problem on Shishkin meshes. Zbl 1208.65099
Meenakshi, P. Maragatha; Valarmathi, S.; Miller, J. J. H.
11
2010
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.
11
2010
A parameter-uniform finite difference method for singularly perturbed linear dynamical systems. Zbl 1198.65123
Valarmathi, S.; Miller, John J. H.
8
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.
3
2009
A water quality computation in the uniform reservoir. Zbl 1173.76008
Pochai, Nopparat; Tangmanee, Suwon; Crane, Lawrence J.; Miller, John J. H.
2
2009
A water quality computation in the uniform channel. Zbl 1165.76006
Pochai, 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 1142.65385
Li, Zi-Cai; Tsai, Heng-Shuing; Wang, Song; Miller, John J. H.
3
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.
13
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.
1
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.
43
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.
33
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.
3
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.
2
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.
1
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.
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 1113.76440
Farrell, 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 1010.65031
MacMullen, H.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
18
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.
7
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.
2
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.
1
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.
1
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.
338
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.
17
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.
1
1999
Fitted numerical methods for four simple convection-diffusion problems. Zbl 0945.65521
Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
127
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.
44
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.
10
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.
3
1998
The necessity of fitted operators and Shishkin meshes for resolving thin layer phenomena. Zbl 0909.65051
Miller, John J. H.; O’Riordan, Eugene
3
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.
2
1997
Fitted numerical methods for singular perturbation problems. Error estimates in the maximum norm for linear problems in one and two dimensions. Zbl 0915.65097
Miller, John J. H.; O’Riordan, Eugene; Shishkin, Grigorii I.
139
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.
17
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.
41
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.
17
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.
3
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.
2
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.
2
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.
34
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
26
1994
An analysis of the Scharfetter-Gummel box method for the stationary semiconductor device equations. Zbl 0820.65089
Miller, J. J. H.; Wang, Song
6
1994
A tetrahedral mixed finite element method for the stationary semiconductor continuity equations. Zbl 0797.65106
Miller, J. J. H.; Wang, S.
6
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.
6
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.
2
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.
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 0812.65077
Guo, Ben-yu; Miller, J. J. H.
6
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.
1
1992
Inverse average type tetrahedral finite-element schemes for the stationary semiconductor device equations. Zbl 0797.65107
Liu, Fawang; Miller, John J. H.
1
1992
A triangular mixed finite element method for the stationary semiconductor device equations. Zbl 0732.65114
Miller, J. J. H.; Wang, S.
8
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
5
1991
An exponentially fitted finite element method for a stationary convection-diffusion problem. Zbl 0770.65072
Miller, J. J. H.; Wang, S.
1
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.
2
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.
1
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.
2
1988
A mixed finite element method for the stationary semiconductor continuity equations. Zbl 0675.65127
Miller, J. J. H.; Wang, S.; Wu, C. H.
2
1988
On the discretization of the semiconductor device equations in the two dimensional case. Zbl 0663.65128
Miller, John J. H.
1
1987
Optimal uniform difference schemes for linear initial-value problems. Zbl 0659.65072
Miller, J. J. H.
8
1986
On the inclusion of the recombination term in discretizations of the semiconductor device equations. Zbl 0598.65090
Miller, John J. H.
3
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.
2
1985
Fitted Petrov-Galerkin methods for singularly perturbed boundary value problems. Zbl 0672.65066
Fitzsimons, C.; Miller, J. J. H.; O’Riordan, E.
2
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
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
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.
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 0511.65055
Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A.
1
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.
383
1980
Uniform second order difference schemes for singular perturbation problems. Zbl 0455.76041
Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.
7
1980
Completely exponentially fitted finite difference schemes for some singular perturbation problems. Zbl 0441.65063
Carroll, 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 0446.65042
Miller, 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 0419.65051
Miller, 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 0384.65040
Miller, John J. H.
2
1978
Construction of a fem for a singularly perturbed problem in 2 dimensions. Zbl 0336.65052
Miller, John J. H.
1
1976
The stability properties of q-step backward difference schemes. Zbl 0311.65047
Creedon, David M.; Miller, John J. H.
9
1975
On the stability of differential equations. Zbl 0256.34059
Miller, John J. H.
2
1972
On the location of zeros of certain classes of polynomials with applications to numerical analysis. Zbl 0232.65070
Miller, John J. H.
93
1971
Radial limits of the rational functions \('\Gamma\mu\) of Harish-Chandra. Zbl 0184.17504
Miller, J. J. H.; Simms, D. J.
1
1969
On power-bounded operators and operators satisfying a resolvent condition. Zbl 0166.41504
Miller, J. J. H.
7
1967
Matrix theorems for partial differential and difference equations. Zbl 0144.13404
Miller, John; Strang, G.
9
1966
all top 5

Cited by 879 Authors

54 Kadalbajoo, Mohan K.
52 O’Riordan, Eugene
48 Shishkin, Grigoriĭ Ivanovich
41 Natesan, Srinivasan
36 Miller, John James Henry
31 Patidar, Kailash C.
30 Gracia, José Luis
27 Stynes, Martin
26 Clavero, Carmelo
26 Wang, Song
23 Amiraliyev, Gabil M.
22 Roos, Hans-Görg
21 Boglaev, Igor P.
21 Sharma, Kapil Kumar
20 Kumar, Sunil
19 Rao, S. Chandra Sekhara
18 Tamilselvan, Ayyadurai
16 Valarmathi, Sigamani
16 Vulanović, Relja
15 Bawa, Rajesh Kumar
13 Hegarty, Alan F.
13 Kumar, Mukesh
11 Cen, Zhongdi
11 Duressa, Gemechis File
11 Li, Jichun
11 Linß, Torsten
11 Ramos, Juan I.
10 Jorge, Juan Carlos
10 Teofanov, Ljiljana
9 Ansari, Ali R.
9 Munyakazi, Justin B.
9 Shishkina, Lidia P.
9 Stojanović, Mirjana N.
9 Vigo-Aguiar, Jesus
8 Farrell, Paul A.
8 Gupta, Vikas
8 Kaushik, Aditya
8 Kudu, Mustafa
8 Rai, Pratima
8 Reddy, Yanala Narsimha
8 Subburayan, Veerasamy
8 Xenophontos, Christos A.
8 Zadorin, Aleksandr Ivanovich
7 Çakır, Musa
7 Erdogan, Fevzi
7 Franz, Sebastian
7 Lisbona Cortés, Francisco Javier
7 Ramesh, V. P.
7 Ramos, Higinio
7 Surla, Katarina
7 Uzelac, Zorica
7 Valanarasu, T.
7 Wang, Yuanming
7 Xu, Aimin
6 Amirali, Ilhame
6 Chakravarthy, P. Pramod
6 Chandru, M.
6 Chawla, Sheetal
6 Cimen, Erkan
6 Kopteva, Natalia Viktorovna
6 Kumar, Devendra
6 Le, Anbo
6 Li, Zi-Cai
6 Liang, Zhaozheng
6 Lin, Pengcheng
6 Mohapatra, Jugal
6 Mukherjee, Kaushik
6 Pickett, Maria L.
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 Liu, Li-Bin
5 Nhan, Thái Anh
5 Pochai, Nopparat
5 Prabha, T.
5 Quinn, Jason
5 Ramanujam, Narasimhan
5 Ravi Kanth, A. S. V.
5 Roja, J. Christy
5 Vulkov, Lubin G.
4 Amiraliyeva, Ilhame G.
4 Angermann, Lutz
4 Arora, Puneet
4 Awasthi, Ashish
4 Aziz, Tariq
4 Babu, A. Ramesh
4 Bansal, Komal
4 Blatov, Igor A.
4 Das, Pratibhamoy
4 Debela, Habtamu Garoma
4 Gowrisankar, S.
4 Kitaeva, E. V.
4 Kumar, Vivek
...and 779 more Authors
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Cited in 152 Serials

158 Applied Mathematics and Computation
120 Journal of Computational and Applied Mathematics
68 International Journal of Computer Mathematics
61 Computers & Mathematics with Applications
54 Applied Numerical Mathematics
32 Numerical Algorithms
26 Applied Mathematics and Mechanics. (English Edition)
24 Mathematics of Computation
23 Computer Methods in Applied Mechanics and Engineering
21 Journal of Computational Physics
20 Journal of Optimization Theory and Applications
20 Numerische Mathematik
18 International Journal of Applied and Computational Mathematics
16 Computational Mathematics and Mathematical Physics
14 Journal of Mathematical Analysis and Applications
14 Numerical Methods for Partial Differential Equations
14 Journal of Applied Mathematics and Computing
13 Advances in Difference Equations
12 BIT
12 Computing
11 Applied Mathematics Letters
11 Computational and Applied Mathematics
10 Mathematics and Computers in Simulation
10 International Journal of Computational Methods
9 Advances in Computational Mathematics
9 Differential Equations and Dynamical Systems
8 Mathematical and Computer Modelling
8 Journal of Scientific Computing
8 Journal of Difference Equations and Applications
8 Mathematical Modelling and Analysis
8 International Journal of Differential Equations
7 International Journal for Numerical Methods in Fluids
7 Calcolo
7 Applied Mathematical Modelling
7 Computational Methods in Applied Mathematics
6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
6 Numerical Functional Analysis and Optimization
6 Linear Algebra and its Applications
5 International Journal for Numerical Methods in Engineering
5 Mediterranean Journal of Mathematics
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 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 Engineering Analysis with Boundary Elements
3 Journal of Mathematical Chemistry
3 Abstract and Applied Analysis
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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Acta Applicandae Mathematicae
2 COMPEL
2 SIAM Journal on Scientific Computing
2 Bulletin of the Belgian Mathematical Society - Simon Stevin
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 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
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 Nonlinear Analysis. Theory, Methods & Applications
2 Iranian Journal of Numerical Analysis and Optimization
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 Automatica
1 Journal of Approximation Theory
1 Journal of Differential Equations
1 Kyungpook Mathematical Journal
1 Proceedings of the American Mathematical Society
1 Siberian Mathematical Journal
1 Transactions of the American Mathematical Society
...and 52 more Serials
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Cited in 36 Fields

997 Numerical analysis (65-XX)
401 Ordinary differential equations (34-XX)
330 Partial differential equations (35-XX)
97 Fluid mechanics (76-XX)
21 Integral equations (45-XX)
16 Approximations and expansions (41-XX)
15 Mechanics of deformable solids (74-XX)
15 Biology and other natural sciences (92-XX)
14 Optics, electromagnetic theory (78-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
7 Classical thermodynamics, heat transfer (80-XX)
7 Statistical mechanics, structure of matter (82-XX)
7 Operations research, mathematical programming (90-XX)
7 Systems theory; control (93-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
4 Real functions (26-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 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 Statistics (62-XX)
1 Quantum theory (81-XX)

Citations by Year