×
Edit Profile (opens in new tab)

Frankel, Jay I.

Co-Author Distance
Author ID: frankel.jay-i Recent zbMATH articles by "Frankel, Jay I."
Published as: Frankel, J. I.; Frankel, Jay I.
Documents Indexed: 29 Publications since 1987
1 Contribution as Editor
Co-Authors: 17 Co-Authors with 19 Joint Publications
351 Co-Co-Authors
all top 5

Co-Authors

9 single-authored
10 Keyhani, Majid
4 Arimilli, Rao V.
2 Chen, Yin Yuan
2 Elkins, Bryan S.
2 Osborne, G. E.
2 Vick, Brian
1 Brebbia, Carlos Alberto
1 Chen, Hongchu
1 Choudhury, Sudipto Roy
1 Djeddi, Reza
1 Ekici, Kivanc
1 Hale, S. W.
1 Hosseini, Seyed Mohammad
1 LaClair, Tim J.
1 Li, Hang
1 Özisik, M. Necati
1 Wu, Jayne
all top 5

Serials

3 Journal of Engineering Mathematics
3 Inverse Problems in Science and Engineering
2 International Journal of Heat and Mass Transfer
2 Journal of Computational Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Applied Mathematics and Computation
2 Journal of Computational and Applied Mathematics
1 Computers & Mathematics with Applications
1 IMA Journal of Numerical Analysis
1 Journal of the Franklin Institute
1 Quarterly of Applied Mathematics
1 Applied Numerical Mathematics
1 Applied Mathematical Modelling
1 Numerical Heat Transfer. Part B: Fundamentals
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Engineering Analysis with Boundary Elements
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
all top 5

Fields

17 Classical thermodynamics, heat transfer (80-XX)
12 Numerical analysis (65-XX)
11 Integral equations (45-XX)
8 Partial differential equations (35-XX)
8 Fluid mechanics (76-XX)
3 Ordinary differential equations (34-XX)
3 Mechanics of deformable solids (74-XX)
3 Astronomy and astrophysics (85-XX)
2 Computer science (68-XX)
1 General and overarching topics; collections (00-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Optics, electromagnetic theory (78-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

22 Publications have been cited 105 times in 87 Documents Cited by ▼ Year ▼
A Galerkin solution to a regularized Cauchy singular integro-differential equation. Zbl 0823.65145
Frankel, Jay I.
32
1995
Residual-minimization least-squares method for inverse heat conduction. Zbl 0858.65098
Frankel, J. I.
17
1996
Regularization of inverse heat conduction by combination of rate sensor analysis and analytic continuation. Zbl 1122.80010
Frankel, Jay I.
9
2007
General formulation and analysis of hyperbolic heat conduction in composite media. Zbl 0627.76106
Frankel, J. I.; Vick, Brian; Özisik, M. N.
9
1987
Constraining inverse Stefan design problems. Zbl 0864.76089
Frankel, J. I.
5
1996
A note on the integral formulation of Kumar and Sloan. Zbl 0842.65096
Frankel, J. I.
5
1995
Inferring convective and radiative heating loads from transient surface temperature measurements in the half-space. Zbl 1202.80016
Frankel, Jay I.; Arimilli, Rao V.
4
2007
A new multidimensional integral relationship between heat flux and temperature for direct internal assessment of heat flux. Zbl 1162.80001
Frankel, Jay I.; Keyhani, Majid; Arimilli, Rao V.; Wu, Jayne
3
2008
A new time treatment for solving partial integro-differential equations of radiative transport. Zbl 0946.65144
Frankel, J. I.; Osborne, G. E.
3
1999
Global time method for inverse heat conduction problem. Zbl 1253.80003
Elkins, Bryan S.; Keyhani, Majid; Frankel, J. I.
3
2012
Several symbolic augmented Chebyshev expansions for solving the equation of radiative transfer. Zbl 0832.65146
Frankel, Jay I.
2
1995
An exact methodology for solving nonlinear diffusion equations based on integral transforms. Zbl 0628.65108
Frankel, J. I.; Vick, Brian
2
1987
A new flux integral relationship for half-space transient heat conduction with arbitrary initial condition. Zbl 1244.80003
Frankel, J. I.; Kulish, V. V.
2
2008
Local sensitivity analysis for the heat flux-temperature integral relationship in the half-space. Zbl 1205.80018
Frankel, J. I.; Keyhani, M.; Huang, M. G.
1
2010
A new anisotropic, two-dimensional, transient heat flux-temperature integral relationship for half-space diffusion. Zbl 1192.80006
Frankel, J. I.; Keyhani, M.; Elkins, B.; Arimilli, R. V.
1
2010
A boundary integral formulation to an inverse solidification design problem. Zbl 0839.65103
Frankel, J. I.
1
1995
Chebyshev series solutions for radiative transport in a medium with a linearly anisotropic scattering phase function. Zbl 0846.73077
Laclair, T.; Frankel, J. I.
1
1995
A new nonlinear surface heat flux calibration method based on Kirchhoff transformation and rescaling principles. Zbl 1321.65144
Chen, Y. Y.; Frankel, J. I.; Keyhani, M.
1
2014
A new integral formulation to thermal ignition in radiatively participating media. Zbl 0869.65082
Frankel, J. I.
1
1996
Two-dimensional formulation for inverse heat conduction problems by the calibration integral equation method (CIEM). Zbl 1465.80005
Chen, Hongchu; Frankel, Jay I.; Keyhani, Majid
1
2016
Modeling periodic and non-periodic response of dynamical systems using an efficient Chebyshev-based time-spectral approach. Zbl 1437.76038
Ekici, Kivanc; Djeddi, Reza; Li, Hang; Frankel, Jay I.
1
2020
A new front surface heat flux calibration method for a 1-D nonlinear thermal system with a time-varying back boundary condition. Zbl 1390.80010
Chen, Yin Yuan; Frankel, J. I.; Keyhani, M.
1
2017
Modeling periodic and non-periodic response of dynamical systems using an efficient Chebyshev-based time-spectral approach. Zbl 1437.76038
Ekici, Kivanc; Djeddi, Reza; Li, Hang; Frankel, Jay I.
1
2020
A new front surface heat flux calibration method for a 1-D nonlinear thermal system with a time-varying back boundary condition. Zbl 1390.80010
Chen, Yin Yuan; Frankel, J. I.; Keyhani, M.
1
2017
Two-dimensional formulation for inverse heat conduction problems by the calibration integral equation method (CIEM). Zbl 1465.80005
Chen, Hongchu; Frankel, Jay I.; Keyhani, Majid
1
2016
A new nonlinear surface heat flux calibration method based on Kirchhoff transformation and rescaling principles. Zbl 1321.65144
Chen, Y. Y.; Frankel, J. I.; Keyhani, M.
1
2014
Global time method for inverse heat conduction problem. Zbl 1253.80003
Elkins, Bryan S.; Keyhani, Majid; Frankel, J. I.
3
2012
Local sensitivity analysis for the heat flux-temperature integral relationship in the half-space. Zbl 1205.80018
Frankel, J. I.; Keyhani, M.; Huang, M. G.
1
2010
A new anisotropic, two-dimensional, transient heat flux-temperature integral relationship for half-space diffusion. Zbl 1192.80006
Frankel, J. I.; Keyhani, M.; Elkins, B.; Arimilli, R. V.
1
2010
A new multidimensional integral relationship between heat flux and temperature for direct internal assessment of heat flux. Zbl 1162.80001
Frankel, Jay I.; Keyhani, Majid; Arimilli, Rao V.; Wu, Jayne
3
2008
A new flux integral relationship for half-space transient heat conduction with arbitrary initial condition. Zbl 1244.80003
Frankel, J. I.; Kulish, V. V.
2
2008
Regularization of inverse heat conduction by combination of rate sensor analysis and analytic continuation. Zbl 1122.80010
Frankel, Jay I.
9
2007
Inferring convective and radiative heating loads from transient surface temperature measurements in the half-space. Zbl 1202.80016
Frankel, Jay I.; Arimilli, Rao V.
4
2007
A new time treatment for solving partial integro-differential equations of radiative transport. Zbl 0946.65144
Frankel, J. I.; Osborne, G. E.
3
1999
Residual-minimization least-squares method for inverse heat conduction. Zbl 0858.65098
Frankel, J. I.
17
1996
Constraining inverse Stefan design problems. Zbl 0864.76089
Frankel, J. I.
5
1996
A new integral formulation to thermal ignition in radiatively participating media. Zbl 0869.65082
Frankel, J. I.
1
1996
A Galerkin solution to a regularized Cauchy singular integro-differential equation. Zbl 0823.65145
Frankel, Jay I.
32
1995
A note on the integral formulation of Kumar and Sloan. Zbl 0842.65096
Frankel, J. I.
5
1995
Several symbolic augmented Chebyshev expansions for solving the equation of radiative transfer. Zbl 0832.65146
Frankel, Jay I.
2
1995
A boundary integral formulation to an inverse solidification design problem. Zbl 0839.65103
Frankel, J. I.
1
1995
Chebyshev series solutions for radiative transport in a medium with a linearly anisotropic scattering phase function. Zbl 0846.73077
Laclair, T.; Frankel, J. I.
1
1995
General formulation and analysis of hyperbolic heat conduction in composite media. Zbl 0627.76106
Frankel, J. I.; Vick, Brian; Özisik, M. N.
9
1987
An exact methodology for solving nonlinear diffusion equations based on integral transforms. Zbl 0628.65108
Frankel, J. I.; Vick, Brian
2
1987
all cited Publications top 5 cited Publications
all top 5

Cited by 147 Authors

13 Frankel, Jay I.
7 Abdou, Mohamed Abdella
6 Keyhani, Majid
3 Liu, Kuo-Chi
3 Shidfar, Abdollah
2 Ceretani, Andrea N.
2 Damirchi, Javad
2 Hon, Yiu-Chung
2 Ismail, Abdul Samad Bin Haji
2 Karamali, G. R.
2 Mohamed, Khamis I.
2 Qian, Ai-Lin
2 Salva, Natalia Nieves
2 Tarzia, Domingo Alberto
2 Zhao, Zhenyu
1 Abdelaty, M. A.
1 Adibi, Hojatollah
1 Aissaoui, Mohamed Zine
1 Alalyani, Ahmad
1 Arimilli, Rao V.
1 Arzhang Hajikandi, A.
1 Atkinson, Kendall Eugene
1 Atluri, Satya N.
1 Awawdeh, Fadi
1 Babolian, Esmail
1 Basseem, M.
1 Behroozifar, Mahmoud
1 Berenguer, María Isabel
1 Bhattacharya, Subhra
1 Boukrouche, Mahdi
1 Boussetouan, Imane
1 Bukhari, Abdulfattah K. A.
1 Cai, Xu
1 Chakrabarti, Aloknath
1 Chen, Hantaw
1 Chen, Hongchu
1 Chen, Qun
1 Chen, Yin Yuan
1 Cheng, Wei
1 Cheng, Yumin
1 Chorfi, Lahcène
1 Cuminato, José Alberto
1 Dai, Honghua
1 Dauksher, Walter
1 Dehghan Takht Fooladi, Mehdi
1 Deka, Bhupen
1 Djeddi, Reza
1 Dutta, Jogen
1 Ekici, Kivanc
1 El-Hawary, H. M.
1 Elkins, Bryan S.
1 Emery, Ashley F.
1 Fan, Liya
1 Fang, Ming
1 Farahi, Mohammad Hadi
1 Fedotov, Aleksandr Ivanovich
1 Fedotov, Alexander I.
1 Fitt, Alistair D.
1 Galkin, Dmitriĭ Vasil’evich
1 Gámez, Domingo
1 Gao, Jinghuai
1 Ghomanjani, Fateme
1 Ghoreishi, Farideh
1 Gilbert, Robert Pertsch
1 Gong, Benxue
1 Guebbaï, Hamza
1 Hadizadeh, Mahmoud
1 Hassin, Anis Bel Hadj
1 Hsiao, Chunhui
1 Hu, Zhen-Liang
1 Huang, Liming
1 Jaradat, Ali
1 Kiliçman, Adem
1 Kim, Chun Il
1 Kumar, Sumit
1 Lai, Xin
1 Lee, Cheuk-Yu
1 Lemita, Samir
1 Li, Hang
1 Li, Ming
1 Li, Wei
1 Li, Xianfang
1 Lin, Chien-Nan.
1 Lin, Yingzhen
1 Ling, Leevan
1 Liu, Zhuan-Xia
1 Ma, XiaoDong
1 Mandal, Birendra Nath
1 Mao, Jianfeng
1 Martha, Subash Chandra
1 McKee, Sean
1 McMasters, Robert L.
1 Melnikov, Yuri A.
1 Monegato, Giovanni
1 Mustafa, Nizami
1 Naserizadeh, L.
1 Nasr, A. A.
1 Negarchi, Neda
1 Nezir, Veysel
1 Noorani, Mohd Salmi Mohd
...and 47 more Authors
all top 5

Cited in 43 Serials

14 Applied Mathematics and Computation
13 Journal of Computational and Applied Mathematics
5 Computers & Mathematics with Applications
4 Inverse Problems in Science and Engineering
3 Journal of Engineering Mathematics
3 Engineering Analysis with Boundary Elements
2 Acta Mechanica
2 Computer Physics Communications
2 Applied Mathematical Modelling
2 Mathematical Problems in Engineering
2 Mathematics and Mechanics of Solids
2 Journal of Applied Mathematics and Computing
2 Boundary Value Problems
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Computational Physics
1 Journal of the Franklin Institute
1 Physica A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Computing
1 International Journal for Numerical Methods in Engineering
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quarterly of Applied Mathematics
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Journal of Integral Equations and Applications
1 Numerical Algorithms
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 International Journal of Computer Mathematics
1 Journal of Elasticity
1 Journal of Inverse and Ill-Posed Problems
1 Abstract and Applied Analysis
1 Nonlinear Analysis. Real World Applications
1 Journal of Applied Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Mathematical Sciences
1 Open Mathematics
1 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva
1 Journal of Computational and Theoretical Transport
all top 5

Cited in 20 Fields

60 Numerical analysis (65-XX)
34 Partial differential equations (35-XX)
31 Integral equations (45-XX)
19 Classical thermodynamics, heat transfer (80-XX)
9 Mechanics of deformable solids (74-XX)
7 Fluid mechanics (76-XX)
3 Special functions (33-XX)
3 Ordinary differential equations (34-XX)
3 Operator theory (47-XX)
3 Optics, electromagnetic theory (78-XX)
2 Integral transforms, operational calculus (44-XX)
2 Computer science (68-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Statistics (62-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year