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Author ID: holmes.mark-h Recent zbMATH articles by "Holmes, Mark H."
Published as: Holmes, Mark H.; Holmes, M. H.; Holmes, Mark

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 317 times in 306 Documents Cited by Year
Introduction to perturbation methods. Zbl 0830.34001
Holmes, Mark H.
151
1995
Introduction to perturbation methods. 2nd ed. Zbl 1270.34002
Holmes, Mark H.
56
2013
Introduction to numerical methods in differential equations. Zbl 1110.65001
Holmes, Mark H.
18
2007
A penalty finite element analysis for nonlinear mechanics of biphasic hydrated soft tissue under large deformation. Zbl 0763.73057
Suh, J.-K.; Spilker, R. L.; Holmes, M. H.
17
1991
Asymptotic behaviour of thin poroelastic layers. Zbl 0971.74030
Barry, S. I.; Holmes, M.
14
2001
Introduction to perturbation methods. 2nd corrected printing. Zbl 0980.34052
Holmes, Mark H.
11
1998
Microscale reduction error indicators and estimators for a periodic heterogeneous medium. Zbl 0806.73003
Fish, J.; Nayak, P.; Holmes, M. H.
10
1994
Introduction to the foundations of applied mathematics. Zbl 1250.74002
Holmes, Mark H.
9
2009
Proof of the WARM whisker conjecture for neuronal connections. Zbl 1387.60143
Holmes, Mark; Kleptsyn, Victor
8
2017
Model of the dynamics of receptor potential in a mechanoreceptor. Zbl 0761.92011
Bell, Jonathan; Holmes, Mark
7
1992
Absence of warm percolation in the very strong reinforcement regime. Zbl 1479.60196
Hirsch, Christian; Holmes, Mark; Kleptsyn, Victor
7
2021
Comparison theorems and similarity solution approximations for a nonlinear diffusion equation arising in the study of soft tissue. Zbl 0598.76009
Holmes, Mark H.
6
1984
Cochlear mechanics: Analysis for a pure tone. Zbl 0543.73126
Holmes, Mark H.; Cole, Julian D.
5
1984
Nonlinear ionic diffusion through charged polymeric gels. Zbl 0715.35004
Holmes, Mark H.
5
1990
The continuous-time lace expansion. Zbl 07433689
Brydges, David; Helmuth, Tyler; Holmes, Mark
5
2021
On the speed of once-reinforced biased random walk on trees. Zbl 1417.60085
Collevecchio, Andrea; Holmes, Mark; Kious, Daniel
5
2018
A nonlinear diffusion equation arising in the study of soft tissue. Zbl 0562.76125
Holmes, Mark H.
4
1983
A comprehensive arithmetic and mensuration. For advanced division central and secondary schools. JFM 56.0079.05
Holmes
4
1930
Backbone scaling for critical lattice trees in high dimensions. Zbl 1368.82005
Holmes, Mark
4
2016
A model of a sensory mechanoreceptor derived from homogenization. Zbl 0686.92008
Holmes, Mark H.; Bell, Jonathan
3
1990
Infinite WARM graphs III: strong reinforcement regime. Zbl 1523.60167
Hirsch, Christian; Holmes, Mark; Kleptsyn, Victor
3
2023
A mathematical model of the dynamics of the inner ear. Zbl 0499.76071
Holmes, Mark H.
2
1982
A spectral problem in hydroelasticity. Zbl 0404.35078
Holmes, Mark H.
2
1979
Study of the transient motion in the cochlea. Zbl 0457.73087
Holmes, Mark H.
2
1981
Introduction to scientific computing and data analysis. Zbl 1368.65002
Holmes, Mark H.
2
2016
A model for the nonlinear mechanism responsible for cochlear amplification. Zbl 1333.92011
Fessel, Kimberly; Holmes, Mark H.
2
2014
Waves and dispersion relations for hydroelastic systems. Zbl 0479.73038
Cook, L. Pamela; Holmes, Mark
1
1981
A perturbation-based numerical method for solving a three-dimensional axisymmetric indentation problem. Zbl 1036.74040
Pavliotis, Grigorios A.; Holmes, Mark H.
1
2002
Behaviour of a model for the synapse of an auditory receptor cell. Zbl 0609.92007
Bell, Jonathan; Holmes, Mark H.
1
1986
Auditory transduction: A model for the role of intracellular calcium in short-term adaptation. Zbl 0754.92006
Holmes, Mark H.; Bell, Jonathan
1
1991
Indentation of a thin compressible elastic layer: Approximate analytic and numerical solutions for rigid flat indenters. Zbl 0918.73095
Haider, Mansoor A.; Holmes, Mark H.
1
1995
Note on the spectrum and normal modes of a general hydroelastic system. Zbl 0367.76020
Holmes, Mark
1
1977
Low frequency asymptotics for a hydroelastic model of the cochlea. Zbl 0447.76065
Holmes, Mark H.
1
1980
A Markovian arrival stream approach to stochastic gene expression in cells. Zbl 1515.92035
Fralix, Brian; Holmes, Mark; Löpker, Andreas
1
2023
Letter to the editor (Kemeny’s constant for infinite DTMCs is infinite). Zbl 1448.60153
Angel, Omer; Holmes, Mark
1
2019
A monotonicity property for once reinforced biased random walk on \(\mathbb{Z}^d\). Zbl 1446.82030
Holmes, Mark; Kious, Daniel
1
2019
Biased random walk on the trace of biased random walk on the trace of \(\dots\). Zbl 1440.60085
Croydon, David; Holmes, Mark
1
2020
Alignment percolation. Zbl 1456.60249
Beaton, Nicholas R.; Grimmett, Geoffrey R.; Holmes, Mark
1
2021
Infinite WARM graphs III: strong reinforcement regime. Zbl 1523.60167
Hirsch, Christian; Holmes, Mark; Kleptsyn, Victor
3
2023
A Markovian arrival stream approach to stochastic gene expression in cells. Zbl 1515.92035
Fralix, Brian; Holmes, Mark; Löpker, Andreas
1
2023
Absence of warm percolation in the very strong reinforcement regime. Zbl 1479.60196
Hirsch, Christian; Holmes, Mark; Kleptsyn, Victor
7
2021
The continuous-time lace expansion. Zbl 07433689
Brydges, David; Helmuth, Tyler; Holmes, Mark
5
2021
Alignment percolation. Zbl 1456.60249
Beaton, Nicholas R.; Grimmett, Geoffrey R.; Holmes, Mark
1
2021
Biased random walk on the trace of biased random walk on the trace of \(\dots\). Zbl 1440.60085
Croydon, David; Holmes, Mark
1
2020
Letter to the editor (Kemeny’s constant for infinite DTMCs is infinite). Zbl 1448.60153
Angel, Omer; Holmes, Mark
1
2019
A monotonicity property for once reinforced biased random walk on \(\mathbb{Z}^d\). Zbl 1446.82030
Holmes, Mark; Kious, Daniel
1
2019
On the speed of once-reinforced biased random walk on trees. Zbl 1417.60085
Collevecchio, Andrea; Holmes, Mark; Kious, Daniel
5
2018
Proof of the WARM whisker conjecture for neuronal connections. Zbl 1387.60143
Holmes, Mark; Kleptsyn, Victor
8
2017
Backbone scaling for critical lattice trees in high dimensions. Zbl 1368.82005
Holmes, Mark
4
2016
Introduction to scientific computing and data analysis. Zbl 1368.65002
Holmes, Mark H.
2
2016
A model for the nonlinear mechanism responsible for cochlear amplification. Zbl 1333.92011
Fessel, Kimberly; Holmes, Mark H.
2
2014
Introduction to perturbation methods. 2nd ed. Zbl 1270.34002
Holmes, Mark H.
56
2013
Introduction to the foundations of applied mathematics. Zbl 1250.74002
Holmes, Mark H.
9
2009
Introduction to numerical methods in differential equations. Zbl 1110.65001
Holmes, Mark H.
18
2007
A perturbation-based numerical method for solving a three-dimensional axisymmetric indentation problem. Zbl 1036.74040
Pavliotis, Grigorios A.; Holmes, Mark H.
1
2002
Asymptotic behaviour of thin poroelastic layers. Zbl 0971.74030
Barry, S. I.; Holmes, M.
14
2001
Introduction to perturbation methods. 2nd corrected printing. Zbl 0980.34052
Holmes, Mark H.
11
1998
Introduction to perturbation methods. Zbl 0830.34001
Holmes, Mark H.
151
1995
Indentation of a thin compressible elastic layer: Approximate analytic and numerical solutions for rigid flat indenters. Zbl 0918.73095
Haider, Mansoor A.; Holmes, Mark H.
1
1995
Microscale reduction error indicators and estimators for a periodic heterogeneous medium. Zbl 0806.73003
Fish, J.; Nayak, P.; Holmes, M. H.
10
1994
Model of the dynamics of receptor potential in a mechanoreceptor. Zbl 0761.92011
Bell, Jonathan; Holmes, Mark
7
1992
A penalty finite element analysis for nonlinear mechanics of biphasic hydrated soft tissue under large deformation. Zbl 0763.73057
Suh, J.-K.; Spilker, R. L.; Holmes, M. H.
17
1991
Auditory transduction: A model for the role of intracellular calcium in short-term adaptation. Zbl 0754.92006
Holmes, Mark H.; Bell, Jonathan
1
1991
Nonlinear ionic diffusion through charged polymeric gels. Zbl 0715.35004
Holmes, Mark H.
5
1990
A model of a sensory mechanoreceptor derived from homogenization. Zbl 0686.92008
Holmes, Mark H.; Bell, Jonathan
3
1990
Behaviour of a model for the synapse of an auditory receptor cell. Zbl 0609.92007
Bell, Jonathan; Holmes, Mark H.
1
1986
Comparison theorems and similarity solution approximations for a nonlinear diffusion equation arising in the study of soft tissue. Zbl 0598.76009
Holmes, Mark H.
6
1984
Cochlear mechanics: Analysis for a pure tone. Zbl 0543.73126
Holmes, Mark H.; Cole, Julian D.
5
1984
A nonlinear diffusion equation arising in the study of soft tissue. Zbl 0562.76125
Holmes, Mark H.
4
1983
A mathematical model of the dynamics of the inner ear. Zbl 0499.76071
Holmes, Mark H.
2
1982
Study of the transient motion in the cochlea. Zbl 0457.73087
Holmes, Mark H.
2
1981
Waves and dispersion relations for hydroelastic systems. Zbl 0479.73038
Cook, L. Pamela; Holmes, Mark
1
1981
Low frequency asymptotics for a hydroelastic model of the cochlea. Zbl 0447.76065
Holmes, Mark H.
1
1980
A spectral problem in hydroelasticity. Zbl 0404.35078
Holmes, Mark H.
2
1979
Note on the spectrum and normal modes of a general hydroelastic system. Zbl 0367.76020
Holmes, Mark
1
1977
A comprehensive arithmetic and mensuration. For advanced division central and secondary schools. JFM 56.0079.05
Holmes
4
1930
all top 5

Cited by 607 Authors

9 Penta, Raimondo
8 Fish, Jacob
7 Holmes, Mark H.
7 Jung, Changyeol
5 Bell, Jonathan
5 Filobello-Nino, Uriel A.
5 Merodio, Jose
5 Powell, James A.
5 Ramírez-Torres, Ariel
5 Vázquez-Leal, Héctor
4 Anderson, Daniel M.
4 Huerta-Chua, Jesus
4 Kadalbajoo, Mohan K.
4 Kovács, Endre
4 Kumar, Manoj
4 Rodríguez-Ramos, Reinaldo
3 Atzberger, Paul J.
3 Demiralp, Metin
3 Garlick, Martha J.
3 Gie, Gung-Min
3 Hooten, Mevin B.
3 Jimenez-Fernandez, Victor Manuel
3 Negulescu, Claudia
3 Patidar, Kailash C.
3 Sarmiento-Reyes, Arturo
3 Schoof, Christian
3 Tuna, Süha
3 Yurk, Brian P.
2 Ai, Wen-Yuan
2 Barry, Steven Ian
2 Calvo, Begoña
2 Carr, Elliot Joseph
2 Castañeda-Sheissa, Roberto
2 Cervantes-Perez, J.
2 Champneys, Alan R.
2 Chen, Wenhui
2 Cheng, Lei
2 Dai, Hui-Hui
2 Del Palomar, A. Pérez
2 Doblaré, Manuel
2 Fan, Xiaoting
2 Feng, Xinlong
2 Fessel, Kimberly
2 Gerisch, Alf
2 Ghayesh, Mergen H.
2 Gonzalez-Lee, M.
2 Grillo, Alfio
2 Grosh, Karl
2 Ironi, Liliana
2 Kelley, Walter G.
2 King, John Robert
2 Lee, Hoyeon
2 Li, Wenlei
2 Liu, Weishi
2 Martínez, Miguel Ángel
2 McLaughlin, Richard M.
2 Miller, Cass T.
2 Morales-Mendoza, L. J.
2 Nagy, Adam
2 Neupane, Ram C.
2 Nguyen, Thien Binh
2 Panzeri, Luigi
2 Parul
2 Peña, Estefanía
2 Pereyra-Díaz, Domitilo
2 Pérez-Sesma, A.
2 Plahte, Erik
2 Potomkin, Mykhailo
2 Poznanski, Roman R.
2 Prasad, Hari Shankar
2 Ranjan, Rakesh
2 Ricarte, Gleydson Chaves
2 Roul, Pradip
2 Saleh, Mahmoud
2 Schäfer, Tobias
2 Schmuck, Markus
2 Schnell, Santiago
2 Shek, Kamlun
2 Shephard, Mark S.
2 Shi, Shaoyun
2 Siddique, Javed I.
2 Spilker, Robert L.
2 Strogatz, Steven Henry
2 Temam, Roger Meyer
2 Turner, Ian William
2 Van de Ven, Alphons Adrianus Francisca
2 van Horssen, Wilhem Teunis
2 Wang, Jing
2 Wang, Xiaoming
2 Xie, Feng
1 Aghamohammadi, Amir
1 Ahmed, Aftab
1 Akhmatskaya, Elena
1 Akhmedov, Odiljon S.
1 Akhtar, Rizwan
1 Al-Shibani, Faoziya
1 Aldis, Geoffrey K.
1 Allahviranloo, Tofigh
1 Allez, Romain
1 Almeida, Edgard S.
...and 507 more Authors
all top 5

Cited in 141 Serials

19 Computer Methods in Applied Mechanics and Engineering
13 Applied Mathematics and Computation
13 Physica D
11 Mathematical Biosciences
7 Journal of Fluid Mechanics
7 Bulletin of Mathematical Biology
6 Journal of Computational Physics
6 Applied Mathematical Modelling
6 Journal of Theoretical Biology
5 Journal of Scientific Computing
5 SIAM Journal on Applied Mathematics
5 Nonlinear Analysis. Real World Applications
4 Journal of Mathematical Analysis and Applications
4 Journal of Mathematical Biology
4 International Journal for Numerical Methods in Engineering
4 Journal of Computational and Applied Mathematics
4 Journal of Differential Equations
4 Numerical Methods for Partial Differential Equations
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Journal of Engineering Mathematics
3 Physics Letters. A
3 Mathematics and Computers in Simulation
3 Mathematical and Computer Modelling
3 International Journal of Computer Mathematics
3 Physics of Fluids
3 Journal of Mathematical Chemistry
3 Nonlinear Dynamics
3 Discrete Dynamics in Nature and Society
3 Natural Resource Modeling
3 Communications in Nonlinear Science and Numerical Simulation
2 Acta Mechanica
2 Computers & Mathematics with Applications
2 International Journal of Solids and Structures
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Mathematical Methods in the Applied Sciences
2 Wave Motion
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Applied Numerical Mathematics
2 Journal of Economic Dynamics & Control
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 SIAM Review
2 Journal of Dynamics and Differential Equations
2 Continuum Mechanics and Thermodynamics
2 Journal of Difference Equations and Applications
2 Mathematical Problems in Engineering
2 Computing and Visualization in Science
2 Chaos
2 European Journal of Mechanics. A. Solids
2 Journal of High Energy Physics
2 SIAM Journal on Applied Dynamical Systems
2 Multiscale Modeling & Simulation
2 International Journal of Computational Methods
2 Mathematical Biosciences and Engineering
2 Journal of Biological Dynamics
2 Advances in Applied Mathematics and Mechanics
1 Modern Physics Letters A
1 Archive for Rational Mechanics and Analysis
1 Classical and Quantum Gravity
1 Computers and Fluids
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 European Journal of Physics
1 General Relativity and Gravitation
1 International Journal of Engineering Science
1 International Journal for Numerical Methods in Fluids
1 Journal of the Mechanics and Physics of Solids
1 Moscow University Mechanics Bulletin
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Calcolo
1 Fuzzy Sets and Systems
1 International Statistical Review
1 Journal of Economic Theory
1 Journal of Econometrics
1 Journal of Statistical Planning and Inference
1 Meccanica
1 Numerische Mathematik
1 Quarterly of Applied Mathematics
1 SIAM Journal on Control and Optimization
1 Studies in Applied Mathematics
1 Synthese
1 Ergodic Theory and Dynamical Systems
1 Acta Mathematicae Applicatae Sinica
1 Circuits, Systems, and Signal Processing
1 Stochastic Analysis and Applications
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Probability Theory and Related Fields
1 Revista Matemática Iberoamericana
1 Computational Mechanics
1 Applied Mathematics Letters
1 SIAM Journal on Matrix Analysis and Applications
1 European Journal of Operational Research
1 Journal of Elasticity
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Celestial Mechanics and Dynamical Astronomy
1 Archive of Applied Mechanics
...and 41 more Serials

Citations by Year