Edit Profile (opens in new tab) Piskarëv, S. I. Co-Author Distance Author ID: piskarev.s-i Published as: Piskarev, S.; Piskarev, S. I.; Piskarev, Sergey; Piskarev, Sergei; Piskarev, Serguei; Piskarëv, S. I.; Piskarev, Sergey I.; Piskarjov, S. more...less Homepage: http://www-old.srcc.msu.ru/nivc/english/about/home_pages/piskarev/index.htm External Links: MGP Documents Indexed: 90 Publications since 1977, including 1 Book 1 Contribution as Editor Reviewing Activity: 32 Reviews Co-Authors: 59 Co-Authors with 68 Joint Publications 2,259 Co-Co-Authors all top 5 Co-Authors 22 single-authored 11 Li, Miao 8 Shaw, Sen-Yen 6 Liu, Ru 6 Orlovskiĭ, Dmitriĭ Germanovich 6 Pastor, Javier 5 Ashyralyev, Allaberen 4 Guidetti, Davide 3 Vasil’ev, Victor V. 2 Burrage, Kevin 2 Cao, Qingjie 2 Fan, Zhenbin 2 Jefferies, Brian R. F. 2 Karasözen, Bülent 2 Li, Chenggang 2 Li, Gang 2 Liu, Li 2 Morozov, Vladimir Alekseevich 2 Siegmund, Stefan 2 Yurtsever, Hasan Ali 1 Ahues, Mario Paul 1 Antonyuk, Oleksandra Viktorivna 1 Ashurov, Ravshan Rajabovich 1 Beyn, Wolf-Jürgen 1 Bobylev, Nikolaĭ Antonovich 1 Chyan, Ding-Kuo 1 Covachev, Valéry C. 1 Crouzeix, Michel 1 Cuevas, Claudio 1 deLaubenfels, Ralph J. 1 Erdogan, Abdullah Said 1 Ergenç, Tanil 1 Guo, Bao-Zhu 1 Han, Yanwei 1 Kantorovitz, Shmuel 1 Kim, Jong Kyu 1 Kloeden, Peter Eris 1 Kochubeĭ, Anatoliĭ Naumovych 1 Kokurin, Mikhail Mikhailovich 1 Korovin, Sergeĭ Konstantinovich 1 Kostić, Marko 1 Kostin, Andrey B. 1 Kreĭn, Selim Grigor’evich 1 Larsson, Stig 1 Liang, Tingwei 1 Meerschaert, Mark Marvin 1 Nolasco de Carvalho, Alexandre 1 Ovchinnikov, Alexey Vital’evich 1 Palencia, Cesar 1 Pastor, Verónica E. 1 Prilepko, Alekseĭ Ivanovich 1 Selivanova, N. Yu. 1 Shaw, Stanley Y. 1 Spigler, Renato 1 Spreafico, Mauro 1 Thomée, Vidar 1 Vainikko, Gennadi 1 Weis, Lutz W. 1 Wiercigroch, Marian 1 Zwart, Hans J. all top 5 Serials 9 Numerical Functional Analysis and Optimization 7 Journal of Inverse and Ill-Posed Problems 6 Journal of Mathematical Sciences (New York) 6 Taiwanese Journal of Mathematics 5 Differential Equations 3 Semigroup Forum 3 Abstract and Applied Analysis 3 Differential Equations 2 Mathematical Notes 2 BIT 2 Journal of Functional Analysis 2 Fractional Calculus & Applied Analysis 2 Computational Methods in Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Journal of Mathematical Analysis and Applications 1 Matematicheskie Zametki 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Applied Mathematics and Computation 1 Chinese Journal of Mathematics 1 Differentsial’nye Uravneniya 1 Journal of the London Mathematical Society. Second Series 1 Journal of Soviet Mathematics 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematics of the USSR. Izvestiya 1 Siberian Mathematical Journal 1 Soviet Mathematics 1 Saitama Mathematical Journal 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Mathematics of the USSR, Sbornik 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Mathematics 1 Nonlinear Dynamics 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Discrete and Continuous Dynamical Systems. Series B 1 International Journal of Dynamical Systems and Differential Equations 1 Advances in Numerical Analysis 1 Contemporary Analysis and Applied Mathematics all top 5 Fields 49 Numerical analysis (65-XX) 46 Ordinary differential equations (34-XX) 44 Operator theory (47-XX) 36 Partial differential equations (35-XX) 6 Integral equations (45-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 67 Publications have been cited 528 times in 333 Documents Cited by ▼ Year ▼ The stability of rational approximations of analytic semigroups. Zbl 0783.65050Crouzeix, M.; Larsson, S.; Piskarev, S.; Thomée, V. 49 1993 A general approximation scheme for attractors of abstract parabolic problems. Zbl 1110.35012Carvalho, Alexandre N.; Piskarev, Sergey 48 2006 Differential equations in Banach spaces. II: Theory of cosine operator functions. Zbl 1115.34058Vasil’ev, V. V.; Piskarev, S. I. 43 2004 On well-posedness of difference schemes for abstract parabolic equations in \(L^p([0,T];E)\) spaces. Zbl 1022.65095Ashyralyev, Allaberen; Piskarev, Serguei; Weis, Lutz 34 2002 On well-posedness of difference schemes for abstract elliptic problems in \(L^{p}([0, T];E)\) spaces. Zbl 1140.65073Ashyralyev, Allaberen; Cuevas, Claudio; Piskarev, Sergey 26 2008 Approximation of abstract differential equations. Zbl 1111.47063Guidetti, Davide; Karasözen, Bülent; Piskarev, Sergei 26 2004 Semigroups of operators, cosine operator functions, and linear differential equations. Zbl 0748.47038Vasil’ev, V. V.; Kreĭn, S. G.; Piskarev, S. I. 22 1990 On certain operator families related to cosine operator functions. Zbl 0906.47030Piskarev, S.; Shaw, S.-Y. 20 1997 Multiplicative perturbations of \(C_ 0\)-semigroups and some applications to step responses and cumulative outputs. Zbl 0823.47036Piskarev, S.; Shaw, S.-Y. 19 1995 On approximation of inverse problems for abstract elliptic problems. Zbl 1195.65159Orlovsky, D.; Piskarev, S. 16 2009 On a class of time-fractional differential equations. Zbl 1312.34094Li, Cheng-Gang; Kostić, Marko; Li, Miao; Piskarev, Sergey 15 2012 The approximation of Bitzadze-Samarsky type inverse problem for elliptic equations with Neumann conditions. Zbl 1294.34063Orlovsky, Dmitry; Piskarev, Sergey 12 2013 On approximation of inverse problem for abstract parabolic differential equations in Banach spaces. Zbl 1188.65074Prilepko, A.; Piskarev, S.; Shaw, S.-Y. 11 2007 On the approximation of holomorphic semigroups. Zbl 0428.35008Piskarev, S. 11 1979 Multiple buckling and codimension-three bifurcation phenomena of a nonlinear oscillator. Zbl 1284.34050Cao, Q. J.; Han, Y. W.; Liang, T. W.; Wiercigroch, M.; Piskarev, S. 9 2014 Shadowing for discrete approximations of abstract parabolic equations. Zbl 1158.65066Beyn, Wolf-Jürgen; Piskarev, Sergey 8 2008 Stability of the Crank-Nicolson scheme and maximal regularity for parabolic equations in \(C^{\theta} (\overline{\Omega})\) spaces. Zbl 0938.65114Guidetti, Davide; Piskarev, Sergei 8 1999 On maximal regularity and semivariation of cosine operator functions. Zbl 0946.47030Chyan, D.-K.; Shaw, S.-Y.; Piskarev, S. 8 1999 Crank-Nicolson scheme for abstract linear systems. Zbl 1151.65048Piskarev, Sergey; Zwart, Hans 7 2007 On the approximation of fractional resolution families. Zbl 1315.65074Liu, Ru; Li, Miao; Pastor, J.; Piskarev, S. I. 7 2014 Perturbation and comparison of cosine operator functions. Zbl 0828.47037Piskarev, S.; Shaw, S.-Y. 7 1995 Approximation of semilinear fractional Cauchy problem. Zbl 1315.65064Liu, Ru; Li, Miao; Piskarev, Sergey 7 2015 On the approximations of derivatives of integrated semigroups. II. Zbl 1279.34071Li, Miao; Morozov, Vladimir; Piskarev, Sergey 6 2011 On regularly consistent operators. Zbl 0388.47007Vainikko, G. M.; Piskarev, S. I. 5 1977 Stability of difference schemes for fractional equations. Zbl 1329.65166Liu, Ru; Li, Miao; Piskarev, S. I. 5 2015 Approximations of parabolic equations at the vicinity of hyperbolic equilibrium point. Zbl 1329.65111Cao, Qingjie; Pastor, Javier; Piskarev, Sergey; Siegmund, Stefan 5 2014 Maximal regularity for fractional Cauchy equation in Hölder space and its approximation. Zbl 07169916Liu, Li; Fan, Zhenbin; Li, Gang; Piskarev, Sergey 5 2019 Discrete convergence and the equivalence of equi-attraction and the continuous convergence of attractors. Zbl 1153.37014Kloeden, Peter; Piskarev, Sergey 4 2007 Error estimates for approximation of semigroups of operators by Padé fractions. Zbl 0449.65027Piskarev, S. I. 4 1979 On the approximations of derivatives of integrated semigroups. Zbl 1279.34070Li, Miao; Morozov, Vladimir; Piskarev, Sergey 4 2010 On approximation of coefficient inverse problems for differential equations in functional spaces. Zbl 1434.35280Orlovsky, D. G.; Piskarev, S. I. 4 2018 On the compactness and the uniform continuity of a resolvent family for a fractional differential equation. Zbl 1313.34001Antonyuk, O. V.; Kochubei, A. N.; Piskarev, S. I. 4 2014 Stability of difference schemes in Cauchy problems with almost periodic solutions. Zbl 0551.65063Piskarev, S. I. 4 1984 Semidiscrete approximations of semilinear periodic problems in Banach spaces. Zbl 1126.34352Bobylev, N. A.; Kim, J. K.; Korovin, S. K.; Piskarev, S. 4 1998 On multiplicative perturbations of \(C_0\)-groups and \(C_0\)-cosine operator functions. Zbl 1003.47033Palencia, C.; Piskarev, S. 4 2001 The order of convergence of difference schemes for fractional equations. Zbl 1379.65072Liu, Ru; Li, Miao; Piskarev, Sergey 4 2017 On approximation of integrated semigroups. Zbl 1221.65138Li, Miao; Piskarev, Sergey 4 2010 Solution of a second order evolution equation under the Krejn-Fattorini conditions. Zbl 0603.65040Piskarev, S. I. 3 1985 On approximation of inverse problems for abstract hyperbolic equations. Zbl 1410.65232Orlovsky, Dmitry; Piskarev, Sergey; Spigler, Renato 3 2010 Approximation of the Bitsadze-Samarskii inverse problem for an elliptic equation with the Dirichlet conditions. Zbl 1286.65070Orlovskii, D. G.; Piskarev, S. I. 3 2013 Second order equations in functional spaces: qualitative and discrete well-posedness. Zbl 1433.34081Ashyralyev, A.; Pastor, J.; Piskarev, S.; Yurtsever, H. A. 3 2015 On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems. Zbl 1067.65109Guidetti, Davide; Piskarev, Sergei 3 2003 On some properties of step responses and cumulative outputs. Zbl 0819.47053Piskarev, S.; Shaw, S.-Y. 2 1994 Estimates of the convergence rate in case of solution of ill-posed problems for evolution equations. Zbl 0642.65038Piskarev, S. I. 2 1987 Almost-periodic solutions of second-order differential equations. Zbl 0658.34035Piskarev, S. I. 2 1984 Estimates of the rate of convergence in solving illposed problems for evolution equations. Zbl 0664.65055Piskarëv, S. I. 2 1988 Approximation of positive \(C_ 0\)-semigroups of operators. Zbl 0733.65036Piskarev, S. I. 2 1991 Integrated semigroups and \(C\)-semigroups and their applications. Zbl 1471.47030Vasil’ev, V. V.; Piskarev, S. I.; Selivanova, N. Yu. 2 2018 On well-posedness of abstract hyperbolic problems in function spaces. Zbl 1184.35224Ashyralyev, A.; Martinez, M.; Pastor, J.; Piskarev, S. 2 2009 Inverses of generators of integrated fractional resolvent operator functions. Zbl 1439.34012Li, Miao; Pastor, Javier; Piskarev, Sergey 2 2018 Stochastic methods for ill-posed problems. Zbl 0960.65011Burrage, K.; Piskarev, S. 2 2000 A method of increasing the accuracy of the solution of initial problems in Banach space. Zbl 0699.34063Piskarëv, S. I. 1 1988 Periodic and almost periodic cosine operator functions. Zbl 0522.35007Piskarev, S. I. 1 1982 Convergence of difference schemes for the solution of nonlinear parabolic equations. Zbl 0661.65085Piskarev, S. I. 1 1988 Rational approximations of analytic semigroups. Zbl 0817.47053Piskarev, S. 1 1993 Compactness properties in the theory of the cosine operator functions. Zbl 0788.47038Piskarev, S. I. 1 1992 Finite-difference methods for fractional differential equations of order \(1/2\). Zbl 1393.45009Kokurin, M. Yu.; Piskarev, S. I.; Spreafico, Mauro 1 2018 The exponential dichotomy under discretization on general approximation scheme. Zbl 1236.65061Pastor, Javier; Piskarev, Sergey 1 2011 Inverse problem with final overdetermination for time-fractional differential equation in a Banach space. Zbl 1494.34079Orlovsky, Dmitry; Piskarev, Sergey 1 2022 The fractional d’Alembert’s formulas. Zbl 1433.45008Li, Cheng-Gang; Li, Miao; Piskarev, Sergey; Meerschaert, Mark M. 1 2019 Approximations for semilinear Cauchy problems involving second order equations in separable Banach spaces. Zbl 0872.34039Ergenç, T.; Karasözen, B.; Piskarev, S. 1 1997 Approximations of stable manifolds in the vicinity of hyperbolic equilibrium points for fractional differential equations. Zbl 1439.34013Piskarev, Sergey; Siegmund, Stefan 1 2019 Mean stability of semigroups. Zbl 1041.47021Kantorovitz, Shmuel; Piskarev, Serguei 1 2002 Local \(C\)-cosine families and \(n\)-times integrated local cosine families. Zbl 1080.34045Takenaka, T.; Piskarev, S. 1 2004 Approximation of ill-posed problems and discretization of \(C\)-semigroups. Zbl 1022.65110Piskarev, S.; Shaw, S.-Y.; van Casteren, J. A. 1 2002 Inverse source problem for the abstract fractional differential equation. Zbl 1460.35393Kostin, Andrey B.; Piskarev, Sergey I. 1 2021 Stability of Rothe’s scheme and maximal regularity for parabolic equations in \(C^\theta(\bar\Omega)\). Zbl 0917.35006Guidetti, Davide; Piskarev, Sergei 1 1998 Inverse problem with final overdetermination for time-fractional differential equation in a Banach space. Zbl 1494.34079Orlovsky, Dmitry; Piskarev, Sergey 1 2022 Inverse source problem for the abstract fractional differential equation. Zbl 1460.35393Kostin, Andrey B.; Piskarev, Sergey I. 1 2021 Maximal regularity for fractional Cauchy equation in Hölder space and its approximation. Zbl 07169916Liu, Li; Fan, Zhenbin; Li, Gang; Piskarev, Sergey 5 2019 The fractional d’Alembert’s formulas. Zbl 1433.45008Li, Cheng-Gang; Li, Miao; Piskarev, Sergey; Meerschaert, Mark M. 1 2019 Approximations of stable manifolds in the vicinity of hyperbolic equilibrium points for fractional differential equations. Zbl 1439.34013Piskarev, Sergey; Siegmund, Stefan 1 2019 On approximation of coefficient inverse problems for differential equations in functional spaces. Zbl 1434.35280Orlovsky, D. G.; Piskarev, S. I. 4 2018 Integrated semigroups and \(C\)-semigroups and their applications. Zbl 1471.47030Vasil’ev, V. V.; Piskarev, S. I.; Selivanova, N. Yu. 2 2018 Inverses of generators of integrated fractional resolvent operator functions. Zbl 1439.34012Li, Miao; Pastor, Javier; Piskarev, Sergey 2 2018 Finite-difference methods for fractional differential equations of order \(1/2\). Zbl 1393.45009Kokurin, M. Yu.; Piskarev, S. I.; Spreafico, Mauro 1 2018 The order of convergence of difference schemes for fractional equations. Zbl 1379.65072Liu, Ru; Li, Miao; Piskarev, Sergey 4 2017 Approximation of semilinear fractional Cauchy problem. Zbl 1315.65064Liu, Ru; Li, Miao; Piskarev, Sergey 7 2015 Stability of difference schemes for fractional equations. Zbl 1329.65166Liu, Ru; Li, Miao; Piskarev, S. I. 5 2015 Second order equations in functional spaces: qualitative and discrete well-posedness. Zbl 1433.34081Ashyralyev, A.; Pastor, J.; Piskarev, S.; Yurtsever, H. A. 3 2015 Multiple buckling and codimension-three bifurcation phenomena of a nonlinear oscillator. Zbl 1284.34050Cao, Q. J.; Han, Y. W.; Liang, T. W.; Wiercigroch, M.; Piskarev, S. 9 2014 On the approximation of fractional resolution families. Zbl 1315.65074Liu, Ru; Li, Miao; Pastor, J.; Piskarev, S. I. 7 2014 Approximations of parabolic equations at the vicinity of hyperbolic equilibrium point. Zbl 1329.65111Cao, Qingjie; Pastor, Javier; Piskarev, Sergey; Siegmund, Stefan 5 2014 On the compactness and the uniform continuity of a resolvent family for a fractional differential equation. Zbl 1313.34001Antonyuk, O. V.; Kochubei, A. N.; Piskarev, S. I. 4 2014 The approximation of Bitzadze-Samarsky type inverse problem for elliptic equations with Neumann conditions. Zbl 1294.34063Orlovsky, Dmitry; Piskarev, Sergey 12 2013 Approximation of the Bitsadze-Samarskii inverse problem for an elliptic equation with the Dirichlet conditions. Zbl 1286.65070Orlovskii, D. G.; Piskarev, S. I. 3 2013 On a class of time-fractional differential equations. Zbl 1312.34094Li, Cheng-Gang; Kostić, Marko; Li, Miao; Piskarev, Sergey 15 2012 On the approximations of derivatives of integrated semigroups. II. Zbl 1279.34071Li, Miao; Morozov, Vladimir; Piskarev, Sergey 6 2011 The exponential dichotomy under discretization on general approximation scheme. Zbl 1236.65061Pastor, Javier; Piskarev, Sergey 1 2011 On the approximations of derivatives of integrated semigroups. Zbl 1279.34070Li, Miao; Morozov, Vladimir; Piskarev, Sergey 4 2010 On approximation of integrated semigroups. Zbl 1221.65138Li, Miao; Piskarev, Sergey 4 2010 On approximation of inverse problems for abstract hyperbolic equations. Zbl 1410.65232Orlovsky, Dmitry; Piskarev, Sergey; Spigler, Renato 3 2010 On approximation of inverse problems for abstract elliptic problems. Zbl 1195.65159Orlovsky, D.; Piskarev, S. 16 2009 On well-posedness of abstract hyperbolic problems in function spaces. Zbl 1184.35224Ashyralyev, A.; Martinez, M.; Pastor, J.; Piskarev, S. 2 2009 On well-posedness of difference schemes for abstract elliptic problems in \(L^{p}([0, T];E)\) spaces. Zbl 1140.65073Ashyralyev, Allaberen; Cuevas, Claudio; Piskarev, Sergey 26 2008 Shadowing for discrete approximations of abstract parabolic equations. Zbl 1158.65066Beyn, Wolf-Jürgen; Piskarev, Sergey 8 2008 On approximation of inverse problem for abstract parabolic differential equations in Banach spaces. Zbl 1188.65074Prilepko, A.; Piskarev, S.; Shaw, S.-Y. 11 2007 Crank-Nicolson scheme for abstract linear systems. Zbl 1151.65048Piskarev, Sergey; Zwart, Hans 7 2007 Discrete convergence and the equivalence of equi-attraction and the continuous convergence of attractors. Zbl 1153.37014Kloeden, Peter; Piskarev, Sergey 4 2007 A general approximation scheme for attractors of abstract parabolic problems. Zbl 1110.35012Carvalho, Alexandre N.; Piskarev, Sergey 48 2006 Differential equations in Banach spaces. II: Theory of cosine operator functions. Zbl 1115.34058Vasil’ev, V. V.; Piskarev, S. I. 43 2004 Approximation of abstract differential equations. Zbl 1111.47063Guidetti, Davide; Karasözen, Bülent; Piskarev, Sergei 26 2004 Local \(C\)-cosine families and \(n\)-times integrated local cosine families. Zbl 1080.34045Takenaka, T.; Piskarev, S. 1 2004 On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems. Zbl 1067.65109Guidetti, Davide; Piskarev, Sergei 3 2003 On well-posedness of difference schemes for abstract parabolic equations in \(L^p([0,T];E)\) spaces. Zbl 1022.65095Ashyralyev, Allaberen; Piskarev, Serguei; Weis, Lutz 34 2002 Mean stability of semigroups. Zbl 1041.47021Kantorovitz, Shmuel; Piskarev, Serguei 1 2002 Approximation of ill-posed problems and discretization of \(C\)-semigroups. Zbl 1022.65110Piskarev, S.; Shaw, S.-Y.; van Casteren, J. A. 1 2002 On multiplicative perturbations of \(C_0\)-groups and \(C_0\)-cosine operator functions. Zbl 1003.47033Palencia, C.; Piskarev, S. 4 2001 Stochastic methods for ill-posed problems. Zbl 0960.65011Burrage, K.; Piskarev, S. 2 2000 Stability of the Crank-Nicolson scheme and maximal regularity for parabolic equations in \(C^{\theta} (\overline{\Omega})\) spaces. Zbl 0938.65114Guidetti, Davide; Piskarev, Sergei 8 1999 On maximal regularity and semivariation of cosine operator functions. Zbl 0946.47030Chyan, D.-K.; Shaw, S.-Y.; Piskarev, S. 8 1999 Semidiscrete approximations of semilinear periodic problems in Banach spaces. Zbl 1126.34352Bobylev, N. A.; Kim, J. K.; Korovin, S. K.; Piskarev, S. 4 1998 Stability of Rothe’s scheme and maximal regularity for parabolic equations in \(C^\theta(\bar\Omega)\). Zbl 0917.35006Guidetti, Davide; Piskarev, Sergei 1 1998 On certain operator families related to cosine operator functions. Zbl 0906.47030Piskarev, S.; Shaw, S.-Y. 20 1997 Approximations for semilinear Cauchy problems involving second order equations in separable Banach spaces. Zbl 0872.34039Ergenç, T.; Karasözen, B.; Piskarev, S. 1 1997 Multiplicative perturbations of \(C_ 0\)-semigroups and some applications to step responses and cumulative outputs. Zbl 0823.47036Piskarev, S.; Shaw, S.-Y. 19 1995 Perturbation and comparison of cosine operator functions. Zbl 0828.47037Piskarev, S.; Shaw, S.-Y. 7 1995 On some properties of step responses and cumulative outputs. Zbl 0819.47053Piskarev, S.; Shaw, S.-Y. 2 1994 The stability of rational approximations of analytic semigroups. Zbl 0783.65050Crouzeix, M.; Larsson, S.; Piskarev, S.; Thomée, V. 49 1993 Rational approximations of analytic semigroups. Zbl 0817.47053Piskarev, S. 1 1993 Compactness properties in the theory of the cosine operator functions. Zbl 0788.47038Piskarev, S. I. 1 1992 Approximation of positive \(C_ 0\)-semigroups of operators. Zbl 0733.65036Piskarev, S. I. 2 1991 Semigroups of operators, cosine operator functions, and linear differential equations. Zbl 0748.47038Vasil’ev, V. V.; Kreĭn, S. G.; Piskarev, S. I. 22 1990 Estimates of the rate of convergence in solving illposed problems for evolution equations. Zbl 0664.65055Piskarëv, S. I. 2 1988 A method of increasing the accuracy of the solution of initial problems in Banach space. Zbl 0699.34063Piskarëv, S. I. 1 1988 Convergence of difference schemes for the solution of nonlinear parabolic equations. Zbl 0661.65085Piskarev, S. I. 1 1988 Estimates of the convergence rate in case of solution of ill-posed problems for evolution equations. Zbl 0642.65038Piskarev, S. I. 2 1987 Solution of a second order evolution equation under the Krejn-Fattorini conditions. Zbl 0603.65040Piskarev, S. I. 3 1985 Stability of difference schemes in Cauchy problems with almost periodic solutions. Zbl 0551.65063Piskarev, S. I. 4 1984 Almost-periodic solutions of second-order differential equations. Zbl 0658.34035Piskarev, S. I. 2 1984 Periodic and almost periodic cosine operator functions. Zbl 0522.35007Piskarev, S. I. 1 1982 On the approximation of holomorphic semigroups. Zbl 0428.35008Piskarev, S. 11 1979 Error estimates for approximation of semigroups of operators by Padé fractions. Zbl 0449.65027Piskarev, S. I. 4 1979 On regularly consistent operators. Zbl 0388.47007Vainikko, G. M.; Piskarev, S. I. 5 1977 all cited Publications top 5 cited Publications all top 5 Cited by 359 Authors 41 Ashyralyev, Allaberen 35 Piskarëv, S. I. 15 Nolasco de Carvalho, Alexandre 12 Shakhmurov, Veli B. 10 Li, Miao 9 Arrieta, José M. 9 Ashyralyyev, Charyyar 9 Cuevas, Claudio 8 Henríquez, Hernán R. 7 Langa, Jose’ Antonio 7 Li, Buyang 7 Palencia, Cesar 6 Erdogan, Abdullah Said 6 Lizama, Carlos 6 Simsen, Jacson 5 Glushak, A. V. 5 Kostić, Marko 5 Liu, Ru 5 Pastor, Javier 5 Pozo, Juan Carlos 5 Umarov, Khasan Galsanovich 4 Bazhlekova, Emilia G. 4 Bezerra, Flank David Morais 4 Guidetti, Davide 4 Lamberti, Pier Domenico 4 Liang, Jin 4 Lozada-Cruz, German 4 Orlovskiĭ, Dmitriĭ Germanovich 4 Pereira, Marcone Corrêa 4 Poblete, Verónica 4 Robinson, James Cooper 4 Shaw, Sen-Yen 4 Xiao, Ti-Jun 4 Yildirim, Ozgur 3 Aggez, Necmettin 3 Anastassiou, George Angelos 3 Ashyraliyev, Maksat 3 Bakaev, Nikolai Yu. 3 Chang, Jung-Chan 3 Da Silva, Ricardo Parreira 3 Fan, Zhenbin 3 Gercek, Okan 3 Gomilko, Alexandre M. 3 He, Jiawei 3 Koksal, Mehmet Emir 3 Kovács, Mihály 3 Li, Chenggang 3 Li, Gang 3 Lubich, Christian 3 McKibben, Mark Anthony 3 Neubrander, Frank 3 Obukhovskiĭ, Valeriĭ Vladimirovich 3 Ozdemir, Yildirim 3 Ozturk, Elif 3 Ponce, Rodrigo F. 3 Shahmurov, Rishad 3 Simsen, Mariza Stefanello 3 Sirma, Ali 3 Spijker, Marc N. 3 Tetikoglu, Fatma Songul Ozesenli 3 Thomée, Vidar 3 Tomilov, Yuri 3 Webster, Micah D. 3 Yurtsever, Hasan Ali 2 Akrivis, Georgios D. 2 Alonso-Mallo, Isaías 2 Bahyrycz, Anna 2 Bakushinskĭ, Anatoliĭ Borisovich B. 2 Batty, Charles J. K. 2 Borovykh, Natalia Alexandrovna 2 Cai, Wentao 2 Calvo, M. P. 2 Cao, Qingjie 2 Carbone, Vera Lúcia 2 Castro, Airton 2 Crouzeix, Michel 2 Cuesta, Eduardo 2 Dedeturk, Mutlu 2 deLaubenfels, Ralph J. 2 Ferrero, Alberto 2 Figueroa-López, Rodiak N. 2 Gil’, Michael Iosif 2 Jara, Patricio 2 Jin, Bangti 2 Jorge, Juan Carlos 2 Kalinin, Aleksey V. 2 Kamenskiĭ, Mikhaĭl Igor’evich 2 Karthikeyan, Kulandhivel 2 Kemmochi, Tomoya 2 Kokurin, Mikhail Yur’evich 2 Kokurin, Mikhail Mikhailovich 2 Kreĭn, Selim Grigor’evich 2 Larsson, Stig 2 Liu, Li 2 Makridakis, Charalambos G. 2 McAllister, Sarah 2 Morozov, Vladimir Alekseevich 2 Petrosyan, Garik 2 Rogava, Jemal L. 2 Saito, Norikazu ...and 259 more Authors all top 5 Cited in 120 Serials 19 Abstract and Applied Analysis 14 Journal of Differential Equations 12 Journal of Mathematical Analysis and Applications 12 Numerical Functional Analysis and Optimization 10 Computers & Mathematics with Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Semigroup Forum 9 Applied Mathematics and Computation 9 Applied Numerical Mathematics 9 Differential Equations 7 Mathematics of Computation 7 Journal of Inverse and Ill-Posed Problems 7 Journal of Evolution Equations 7 Boundary Value Problems 6 SIAM Journal on Numerical Analysis 6 Fractional Calculus & Applied Analysis 5 Applicable Analysis 5 Mathematical Methods in the Applied Sciences 5 Numerische Mathematik 5 Computational Mathematics and Mathematical Physics 4 BIT 4 Journal of Functional Analysis 4 Russian Mathematics 4 Journal of Mathematical Sciences (New York) 4 Journal of Difference Equations and Applications 4 Discrete Dynamics in Nature and Society 4 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Soviet Mathematics 3 Siberian Mathematical Journal 3 Journal of Dynamics and Differential Equations 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Filomat 3 Nonlinear Dynamics 3 Communications on Pure and Applied Analysis 3 Mediterranean Journal of Mathematics 3 Advances in Difference Equations 3 Nonlinear Analysis. Theory, Methods & Applications 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Studia Mathematica 2 Journal of Computational and Applied Mathematics 2 Transactions of the American Mathematical Society 2 Numerical Methods for Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Fixed Point Theory and Applications 2 International Journal of Differential Equations 2 Analysis and Mathematical Physics 2 Evolution Equations and Control Theory 2 Journal of Function Spaces 1 Bulletin of the Australian Mathematical Society 1 Lithuanian Mathematical Journal 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Calcolo 1 Integral Equations and Operator Theory 1 Kybernetes 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Ergodic Theory and Dynamical Systems 1 Zeitschrift für Analysis und ihre Anwendungen 1 Physica D 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Aequationes Mathematicae 1 Applied Mathematical Modelling 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Georgian Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Integral Transforms and Special Functions 1 Complexity 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Mathematical Problems in Engineering 1 Mathematical Physics, Analysis and Geometry 1 Journal of Inequalities and Applications 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Zhejiang University. Science 1 Dynamical Systems 1 Foundations of Computational Mathematics 1 Journal of the Australian Mathematical Society 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of the Institute of Mathematics of Jussieu 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Journal of Function Spaces and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Proceedings of the Steklov Institute of Mathematics 1 Complex Analysis and Operator Theory 1 Banach Journal of Mathematical Analysis ...and 20 more Serials all top 5 Cited in 28 Fields 177 Partial differential equations (35-XX) 130 Numerical analysis (65-XX) 117 Ordinary differential equations (34-XX) 110 Operator theory (47-XX) 19 Difference and functional equations (39-XX) 19 Integral equations (45-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Real functions (26-XX) 11 Functional analysis (46-XX) 11 Systems theory; control (93-XX) 10 Mechanics of deformable solids (74-XX) 9 Probability theory and stochastic processes (60-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 4 Biology and other natural sciences (92-XX) 3 Special functions (33-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year