Edit Profile (opens in new tab) Mika, Janusz R. Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0909.35011Banasiak, Jacek; Mika, Janusz R. 35 1998 Time behavior of thermal neutrons in moderating media. Zbl 0179.47202Borysiewicz, M.; Mika, J. 21 1969 Singularly perturbed evolution equations with applications to kinetic theory. Zbl 0948.35500Mika, J. R.; Banasiak, J. 19 1995 New asymptotic expansion algorithm for singularly perturbed evolution equations. Zbl 0474.34050Mika, J. 13 1981 Effective solution to the initial value problem in neutron thermalization theory. Zbl 0184.32002Mika, J.; Stankiewicz, R.; Trombetti, T. 12 1969 Diffusion limit for the linear Boltzmann equation of the neutron transport theory. Zbl 0805.35090Banasiak, J.; Mika, J. R. 8 1994 Asymptotic analysis of the Fokker-Planck equation related to Brownian motion. Zbl 0795.35126Banasiak, J.; Mika, J. R. 7 1994 Singularly perturbed evolution equations in Banach spaces. Zbl 0353.34065Mika, Janusz 6 1977 Optimal bounds for bilinear forms associated with linear equations. Zbl 0612.47010Mika, J.; Pack, D. C.; Cole, R. J. 5 1985 Approximation to inverses of normal operators. Zbl 0617.47016Mika, J.; Pack, D. C. 4 1986 Solution of the one-velocity Boltzmann equation with the first-order anisotropic scattering in plane geometry. Zbl 0113.46503Zelazny, R. S.; Kuszell, A.; Mika, J. 4 1961 The initial-value problem for a slab. I: Anisotropic scattering. II: Nonuniform slab. Zbl 0135.45203Mika, Janusz 4 1966 Hilbert asymptotic expansion method for evolution equations in Banach spaces. Zbl 0454.47031Mika, Janusz 4 1978 First-order asymptotic expansion method for singularly perturbed systems of second-order ordinary differential equations. Zbl 0774.65044Mika, Janusz R.; Kozakiewicz, Jan M. 3 1993 Asymptotic analysis of a model kinetic equation. Zbl 0845.34063Mika, Janusz R.; Banasiak, Jacek 3 1995 Upper and lower bounds of bilinear functionals in nonlinear problems. Zbl 0563.47037Pack, D. C.; Cole, R. J.; Mika, J. 3 1984 Diffusion limit for a linear kinetic equation. Zbl 0821.45004Mika, J. R.; Banasiak, J. 3 1995 Application of the asymptotic expansion method for singularly perturbed equations of the resonance type in the kinetic theory. Zbl 0536.34035Mika, J.; Palczewski, A. 3 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 0632.65134Hebeker, F.-K.; Mika, J.; Pack, D. C. 2 1987 Singular perturbation method in neutron transport theory. Zbl 0283.34059Mika, Janusz 2 1974 Nonhomogeneous boundary conditions in neutron transport. Zbl 0285.35058Mika, Janusz; Stankiewicz, Roman 2 1972 The improved prompt jump approximation. Zbl 1208.82087Beauwens, R.; Mika, J. 2 2007 Complementary bounds for inner products associated with nonlinear equations. Zbl 0573.47051Cole, R. J.; Mika, J.; Pack, D. C. 2 1984 Amplitude-shape method for the numerical solution of ordinary differential equations. Zbl 0985.65082Parumasur, N.; Mika, J. R. 2 2001 Approximate solutions of problems involving normal operators. Zbl 0635.47009Lamb, W.; Mika, J.; Roach, G. F. 1 1987 Application of the Chapman-Enskog method to an asymptotic analysis of stiff systems of ordinary differential equations. Zbl 0765.65072Mika, J. R. 1 1992 Higher order singular perturbation method for linear differential equations in Banach spaces. Zbl 0295.34051Mika, Janusz 1 1976 Singular perturbation method for linear differential equations in Banach spaces. Zbl 0297.34050Mika, Janusz 1 1973 Asymptotic equivalence of the \(P_1\) and diffusion equations. Zbl 0395.76061Mika, Janusz; Stankiewicz, Roman 1 1978 Singular-singularly perturbed linear equations in Banach spaces. Zbl 0487.34065Mika, Janusz 1 1982 Amplitude-shape method: The quasistatic method revisited. Zbl 0909.65039Mika, Janusz R.; Andrzejewski, Krzysztof; Parumasur, Nabendra 1 1998 The improved prompt jump approximation. Zbl 1208.82087Beauwens, R.; Mika, J. 2 2007 Amplitude-shape method for the numerical solution of ordinary differential equations. Zbl 0985.65082Parumasur, N.; Mika, J. R. 2 2001 Singularly perturbed telegraph equations with applications in the random walk theory. Zbl 0909.35011Banasiak, Jacek; Mika, Janusz R. 35 1998 Amplitude-shape method: The quasistatic method revisited. Zbl 0909.65039Mika, Janusz R.; Andrzejewski, Krzysztof; Parumasur, Nabendra 1 1998 Singularly perturbed evolution equations with applications to kinetic theory. Zbl 0948.35500Mika, J. R.; Banasiak, J. 19 1995 Asymptotic analysis of a model kinetic equation. Zbl 0845.34063Mika, Janusz R.; Banasiak, Jacek 3 1995 Diffusion limit for a linear kinetic equation. Zbl 0821.45004Mika, J. R.; Banasiak, J. 3 1995 Diffusion limit for the linear Boltzmann equation of the neutron transport theory. Zbl 0805.35090Banasiak, J.; Mika, J. R. 8 1994 Asymptotic analysis of the Fokker-Planck equation related to Brownian motion. Zbl 0795.35126Banasiak, J.; Mika, J. R. 7 1994 First-order asymptotic expansion method for singularly perturbed systems of second-order ordinary differential equations. Zbl 0774.65044Mika, Janusz R.; Kozakiewicz, Jan M. 3 1993 Application of the Chapman-Enskog method to an asymptotic analysis of stiff systems of ordinary differential equations. Zbl 0765.65072Mika, J. R. 1 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 0632.65134Hebeker, F.-K.; Mika, J.; Pack, D. C. 2 1987 Approximate solutions of problems involving normal operators. Zbl 0635.47009Lamb, W.; Mika, J.; Roach, G. F. 1 1987 Approximation to inverses of normal operators. Zbl 0617.47016Mika, J.; Pack, D. C. 4 1986 Optimal bounds for bilinear forms associated with linear equations. Zbl 0612.47010Mika, J.; Pack, D. C.; Cole, R. J. 5 1985 Upper and lower bounds of bilinear functionals in nonlinear problems. Zbl 0563.47037Pack, D. C.; Cole, R. J.; Mika, J. 3 1984 Complementary bounds for inner products associated with nonlinear equations. Zbl 0573.47051Cole, R. J.; Mika, J.; Pack, D. C. 2 1984 Application of the asymptotic expansion method for singularly perturbed equations of the resonance type in the kinetic theory. Zbl 0536.34035Mika, J.; Palczewski, A. 3 1983 Singular-singularly perturbed linear equations in Banach spaces. Zbl 0487.34065Mika, Janusz 1 1982 New asymptotic expansion algorithm for singularly perturbed evolution equations. Zbl 0474.34050Mika, J. 13 1981 Hilbert asymptotic expansion method for evolution equations in Banach spaces. Zbl 0454.47031Mika, Janusz 4 1978 Asymptotic equivalence of the \(P_1\) and diffusion equations. Zbl 0395.76061Mika, Janusz; Stankiewicz, Roman 1 1978 Singularly perturbed evolution equations in Banach spaces. Zbl 0353.34065Mika, Janusz 6 1977 Higher order singular perturbation method for linear differential equations in Banach spaces. Zbl 0295.34051Mika, Janusz 1 1976 Singular perturbation method in neutron transport theory. Zbl 0283.34059Mika, Janusz 2 1974 Singular perturbation method for linear differential equations in Banach spaces. Zbl 0297.34050Mika, Janusz 1 1973 Nonhomogeneous boundary conditions in neutron transport. Zbl 0285.35058Mika, Janusz; Stankiewicz, Roman 2 1972 Time behavior of thermal neutrons in moderating media. Zbl 0179.47202Borysiewicz, M.; Mika, J. 21 1969 Effective solution to the initial value problem in neutron thermalization theory. Zbl 0184.32002Mika, J.; Stankiewicz, R.; Trombetti, T. 12 1969 The initial-value problem for a slab. I: Anisotropic scattering. II: Nonuniform slab. Zbl 0135.45203Mika, Janusz 4 1966 Solution of the one-velocity Boltzmann equation with the first-order anisotropic scattering in plane geometry. Zbl 0113.46503Zelazny, R. S.; Kuszell, A.; Mika, J. 4 1961 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year