## Mika, Janusz R.

Compute Distance To:
 Author ID: mika.janusz-r Published as: Mika, Janusz; Mika, Janusz R.; Mika, J. R.; Mika, J.
 Documents Indexed: 45 Publications since 1960, including 1 Book Reviewing Activity: 52 Reviews Biographic References: 1 Publication Co-Authors: 6 Co-Authors with 18 Joint Publications 95 Co-Co-Authors
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### Co-Authors

 12 single-authored 6 Banasiak, Jacek 5 Pack, Donald Cecil 4 Stankiewicz, Roman 3 Bond, R. A. B. 3 Cole, Richard John 3 Kozakiewicz, Jan M. 3 Parumasur, Nabendra 2 Andrzejewski, Krzysztof 2 Borysiewicz, Mieczysław 2 Żelazny, R. S. 1 Beauwens, Robert 1 Hebeker, Friedrich-Karl 1 Kuszell, Antoni 1 Lamb, Wilson 1 Martincigh, B. S. 1 Palczewski, Andrzej 1 Simoyi, Reuben H. 1 Spiga, Giampiero
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### Serials

 7 Transport Theory and Statistical Physics 5 Mathematical Methods in the Applied Sciences 4 Journal of Mathematical Analysis and Applications 4 Quaestiones Mathematicae 2 IMA Journal of Applied Mathematics 2 Journal of Mathematical Physics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Archives of Mechanics 1 Computers & Mathematics with Applications 1 Mathematica Balkanica 1 Annales Polonici Mathematici 1 Applied Numerical Mathematics 1 Journal of Applied Mathematics and Stochastic Analysis 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria III. Matematyka Stosowana 1 Annals of Physics 1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 1 Series on Advances in Mathematics for Applied Sciences
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### Fields

 20 Ordinary differential equations (34-XX) 15 Numerical analysis (65-XX) 14 Operator theory (47-XX) 10 Partial differential equations (35-XX) 10 Statistical mechanics, structure of matter (82-XX) 6 Integral equations (45-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

31 Publications have been cited 176 times in 95 Documents Cited by Year
Singularly perturbed telegraph equations with applications in the random walk theory. Zbl 0909.35011
Banasiak, Jacek; Mika, Janusz R.
1998
Time behavior of thermal neutrons in moderating media. Zbl 0179.47202
Borysiewicz, M.; Mika, J.
1969
Singularly perturbed evolution equations with applications to kinetic theory. Zbl 0948.35500
Mika, J. R.; Banasiak, J.
1995
New asymptotic expansion algorithm for singularly perturbed evolution equations. Zbl 0474.34050
Mika, J.
1981
Effective solution to the initial value problem in neutron thermalization theory. Zbl 0184.32002
Mika, J.; Stankiewicz, R.; Trombetti, T.
1969
Diffusion limit for the linear Boltzmann equation of the neutron transport theory. Zbl 0805.35090
Banasiak, J.; Mika, J. R.
1994
Asymptotic analysis of the Fokker-Planck equation related to Brownian motion. Zbl 0795.35126
Banasiak, J.; Mika, J. R.
1994
Singularly perturbed evolution equations in Banach spaces. Zbl 0353.34065
Mika, Janusz
1977
Optimal bounds for bilinear forms associated with linear equations. Zbl 0612.47010
Mika, J.; Pack, D. C.; Cole, R. J.
1985
Approximation to inverses of normal operators. Zbl 0617.47016
Mika, J.; Pack, D. C.
1986
Solution of the one-velocity Boltzmann equation with the first-order anisotropic scattering in plane geometry. Zbl 0113.46503
Zelazny, R. S.; Kuszell, A.; Mika, J.
1961
The initial-value problem for a slab. I: Anisotropic scattering. II: Nonuniform slab. Zbl 0135.45203
Mika, Janusz
1966
Hilbert asymptotic expansion method for evolution equations in Banach spaces. Zbl 0454.47031
Mika, Janusz
1978
First-order asymptotic expansion method for singularly perturbed systems of second-order ordinary differential equations. Zbl 0774.65044
Mika, Janusz R.; Kozakiewicz, Jan M.
1993
Asymptotic analysis of a model kinetic equation. Zbl 0845.34063
Mika, Janusz R.; Banasiak, Jacek
1995
Upper and lower bounds of bilinear functionals in nonlinear problems. Zbl 0563.47037
Pack, D. C.; Cole, R. J.; Mika, J.
1984
Diffusion limit for a linear kinetic equation. Zbl 0821.45004
Mika, J. R.; Banasiak, J.
1995
Application of the asymptotic expansion method for singularly perturbed equations of the resonance type in the kinetic theory. Zbl 0536.34035
Mika, J.; Palczewski, A.
1983
Application of the superconvergence properties of the Galerkin approximation to the calculation of upper and lower bounds for linear functionals of solutions of integral equations. Zbl 0632.65134
Hebeker, F.-K.; Mika, J.; Pack, D. C.
1987
Singular perturbation method in neutron transport theory. Zbl 0283.34059
Mika, Janusz
1974
Nonhomogeneous boundary conditions in neutron transport. Zbl 0285.35058
Mika, Janusz; Stankiewicz, Roman
1972
The improved prompt jump approximation. Zbl 1208.82087
Beauwens, R.; Mika, J.
2007
Complementary bounds for inner products associated with nonlinear equations. Zbl 0573.47051
Cole, R. J.; Mika, J.; Pack, D. C.
1984
Amplitude-shape method for the numerical solution of ordinary differential equations. Zbl 0985.65082
Parumasur, N.; Mika, J. R.
2001
Approximate solutions of problems involving normal operators. Zbl 0635.47009
Lamb, W.; Mika, J.; Roach, G. F.
1987
Application of the Chapman-Enskog method to an asymptotic analysis of stiff systems of ordinary differential equations. Zbl 0765.65072
Mika, J. R.
1992
Higher order singular perturbation method for linear differential equations in Banach spaces. Zbl 0295.34051
Mika, Janusz
1976
Singular perturbation method for linear differential equations in Banach spaces. Zbl 0297.34050
Mika, Janusz
1973
Asymptotic equivalence of the $$P_1$$ and diffusion equations. Zbl 0395.76061
Mika, Janusz; Stankiewicz, Roman
1978
Singular-singularly perturbed linear equations in Banach spaces. Zbl 0487.34065
Mika, Janusz
1982
Amplitude-shape method: The quasistatic method revisited. Zbl 0909.65039
Mika, Janusz R.; Andrzejewski, Krzysztof; Parumasur, Nabendra
1998
The improved prompt jump approximation. Zbl 1208.82087
Beauwens, R.; Mika, J.
2007
Amplitude-shape method for the numerical solution of ordinary differential equations. Zbl 0985.65082
Parumasur, N.; Mika, J. R.
2001
Singularly perturbed telegraph equations with applications in the random walk theory. Zbl 0909.35011
Banasiak, Jacek; Mika, Janusz R.
1998
Amplitude-shape method: The quasistatic method revisited. Zbl 0909.65039
Mika, Janusz R.; Andrzejewski, Krzysztof; Parumasur, Nabendra
1998
Singularly perturbed evolution equations with applications to kinetic theory. Zbl 0948.35500
Mika, J. R.; Banasiak, J.
1995
Asymptotic analysis of a model kinetic equation. Zbl 0845.34063
Mika, Janusz R.; Banasiak, Jacek
1995
Diffusion limit for a linear kinetic equation. Zbl 0821.45004
Mika, J. R.; Banasiak, J.
1995
Diffusion limit for the linear Boltzmann equation of the neutron transport theory. Zbl 0805.35090
Banasiak, J.; Mika, J. R.
1994
Asymptotic analysis of the Fokker-Planck equation related to Brownian motion. Zbl 0795.35126
Banasiak, J.; Mika, J. R.
1994
First-order asymptotic expansion method for singularly perturbed systems of second-order ordinary differential equations. Zbl 0774.65044
Mika, Janusz R.; Kozakiewicz, Jan M.
1993
Application of the Chapman-Enskog method to an asymptotic analysis of stiff systems of ordinary differential equations. Zbl 0765.65072
Mika, J. R.
1992
Application of the superconvergence properties of the Galerkin approximation to the calculation of upper and lower bounds for linear functionals of solutions of integral equations. Zbl 0632.65134
Hebeker, F.-K.; Mika, J.; Pack, D. C.
1987
Approximate solutions of problems involving normal operators. Zbl 0635.47009
Lamb, W.; Mika, J.; Roach, G. F.
1987
Approximation to inverses of normal operators. Zbl 0617.47016
Mika, J.; Pack, D. C.
1986
Optimal bounds for bilinear forms associated with linear equations. Zbl 0612.47010
Mika, J.; Pack, D. C.; Cole, R. J.
1985
Upper and lower bounds of bilinear functionals in nonlinear problems. Zbl 0563.47037
Pack, D. C.; Cole, R. J.; Mika, J.
1984
Complementary bounds for inner products associated with nonlinear equations. Zbl 0573.47051
Cole, R. J.; Mika, J.; Pack, D. C.
1984
Application of the asymptotic expansion method for singularly perturbed equations of the resonance type in the kinetic theory. Zbl 0536.34035
Mika, J.; Palczewski, A.
1983
Singular-singularly perturbed linear equations in Banach spaces. Zbl 0487.34065
Mika, Janusz
1982
New asymptotic expansion algorithm for singularly perturbed evolution equations. Zbl 0474.34050
Mika, J.
1981
Hilbert asymptotic expansion method for evolution equations in Banach spaces. Zbl 0454.47031
Mika, Janusz
1978
Asymptotic equivalence of the $$P_1$$ and diffusion equations. Zbl 0395.76061
Mika, Janusz; Stankiewicz, Roman
1978
Singularly perturbed evolution equations in Banach spaces. Zbl 0353.34065
Mika, Janusz
1977
Higher order singular perturbation method for linear differential equations in Banach spaces. Zbl 0295.34051
Mika, Janusz
1976
Singular perturbation method in neutron transport theory. Zbl 0283.34059
Mika, Janusz
1974
Singular perturbation method for linear differential equations in Banach spaces. Zbl 0297.34050
Mika, Janusz
1973
Nonhomogeneous boundary conditions in neutron transport. Zbl 0285.35058
Mika, Janusz; Stankiewicz, Roman
1972
Time behavior of thermal neutrons in moderating media. Zbl 0179.47202
Borysiewicz, M.; Mika, J.
1969
Effective solution to the initial value problem in neutron thermalization theory. Zbl 0184.32002
Mika, J.; Stankiewicz, R.; Trombetti, T.
1969
The initial-value problem for a slab. I: Anisotropic scattering. II: Nonuniform slab. Zbl 0135.45203
Mika, Janusz
1966
Solution of the one-velocity Boltzmann equation with the first-order anisotropic scattering in plane geometry. Zbl 0113.46503
Zelazny, R. S.; Kuszell, A.; Mika, J.
1961
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### Cited by 133 Authors

 10 Banasiak, Jacek 8 Mika, Janusz R. 6 Song, Degong 5 Spiga, Giampiero 4 Bisi, Marzia 4 Frosali, Giovanni 4 Parumasur, Nabendra 3 Belleni-Morante, Aldo 3 Hafez, Ramy Mahmoud 3 Kozakiewicz, Jan M. 3 Stankiewicz, Roman 3 Youssri, Youssri H. 2 Abbas, Muhammad 2 Abbasbandy, Saeid 2 Ali, Norhashidah Hj. Mohd. 2 Aloy, R. 2 Ashyralyev, Allaberen 2 Barletti, Luigi 2 Casabán, María Consuelo 2 de Mottoni, Piero 2 Goswami, Amartya 2 Heydari, Mohammad Hossien 2 Jiwari, Ram 2 Jódar Sanchez, Lucas Antonio 2 Mokhtar-Kharroubi, Mustapha 2 Raftari, Behrouz 2 Totaro, Silvia 2 Yıldırım, Ahmet 1 Abd-Elhameed, Waleed Mohamed 1 Ağirseven, Deniz 1 Akram, Tayyaba 1 Alharbi, Weam 1 Ali, Amjad 1 Allahviranloo, Tofigh 1 Al-saedi, Ahmed Eid Salem 1 Atluri, Satya N. 1 Atta, A. G. 1 Az-Zo’bi, Emad A. 1 Băleanu, Dumitru I. 1 Beauwens, Robert 1 Blenski, Tomasz 1 Bobrowski, Adam 1 Boyadjiev, Lyubomir I. 1 Caudillo-Mata, Luz Angélica 1 Dehghan Takht Fooladi, Mehdi 1 Dellacherie, Stéphane 1 Demeio, Lucio 1 Diblík, Josef 1 Doha, Eid H. 1 Dong, Leiting 1 Du, Hong 1 Estrada-Rodriguez, Gissell 1 Ezzati, Reza 1 Faraz, Naeem 1 Gao, Hongwei 1 Genqi, Xu 1 Gimperlein, Heiko 1 Greenberg, William 1 Groppi, Maria 1 Gu, Yan 1 Haghighi, Donya 1 Hashim, Ishak 1 He, Dongdong 1 Hooshmandasl, Mohammad Reza 1 Hosseininia, Masoumeh 1 Jeribi, Aref 1 Kamran, Kazem 1 Kew, Lee Ming 1 Khan, Yasir 1 Khazan, M. I. 1 Khosravi, Heidar 1 Kokotovic, Petar V. 1 Kreĭn, Selim Grigor’evich 1 Kuang, Zhifeng 1 Kwon, Tae In 1 Latrach, Khalid 1 Liang, Benzhong 1 Lisi, Meri 1 Luchko, Yuri 1 Ma, Hailong 1 Ma, Wentao 1 Manzini, Chiara 1 Mei, Liquan 1 Mika, Janus R. 1 Mingzhu, Yang 1 Mittal, Ramesh Chand 1 Moatimid, Galal M. 1 Modanli, Mahmut 1 Mu, Lihua 1 O’Reilly, John J. 1 Palczewski, Andrzej 1 Pandit, Sapna 1 Pao, Chia-Ven 1 Peng, Hongyun 1 Petrovskii, Sergei V. 1 Protopopescu, Vladimir A. 1 Puchalska, Aleksandra 1 Qu, Wenzhen 1 Riganti, Riccardo 1 Roohani Ghehsareh, H. ...and 33 more Authors
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### Cited in 45 Serials

 19 Transport Theory and Statistical Physics 6 Journal of Mathematical Analysis and Applications 6 Mathematical Methods in the Applied Sciences 5 Applied Mathematics and Computation 4 Computers & Mathematics with Applications 4 Advances in Difference Equations 3 Journal of Mathematical Physics 3 Engineering Analysis with Boundary Elements 2 Computer Physics Communications 2 Ricerche di Matematica 2 Applied Numerical Mathematics 2 SIAM Journal on Applied Mathematics 2 Mathematical Problems in Engineering 2 Mediterranean Journal of Mathematics 1 Journal of Computational Physics 1 Mathematical Biosciences 1 Chaos, Solitons and Fractals 1 Automatica 1 Journal of Functional Analysis 1 Journal of Soviet Mathematics 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics 1 Semigroup Forum 1 Studies in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Physica D 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Applied Mathematics. Series B (English Edition) 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Discrete and Continuous Dynamical Systems 1 Annales Henri Poincaré 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 International Journal of Computational Methods 1 Boundary Value Problems 1 Mathematical Modelling of Natural Phenomena 1 Kinetic and Related Models 1 International Journal for Numerical Methods in Biomedical Engineering 1 Journal of Mathematics and Computer Science. JMCS 1 Communications in Applied and Industrial Mathematics 1 Mathematical Sciences 1 Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications
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### Cited in 24 Fields

 51 Partial differential equations (35-XX) 30 Numerical analysis (65-XX) 29 Statistical mechanics, structure of matter (82-XX) 14 Ordinary differential equations (34-XX) 13 Operator theory (47-XX) 11 Fluid mechanics (76-XX) 10 Integral equations (45-XX) 8 Biology and other natural sciences (92-XX) 5 Real functions (26-XX) 5 Classical thermodynamics, heat transfer (80-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)