Edit Profile (opens in new tab) Novati, Paolo Co-Author Distance Author ID: novati.paolo Published as: Novati, Paolo; Novati, P. Documents Indexed: 49 Publications since 2001, including 2 Additional arXiv Preprints Co-Authors: 16 Co-Authors with 36 Joint Publications 308 Co-Co-Authors all top 5 Co-Authors 12 single-authored 9 Aceto, Lidia 7 Gazzola, Silvia 7 Moret, Igor 6 Denich, Eleonora 5 Russo, Maria Rosaria 3 Caruso, Noe Angelo 2 Magherini, Cecilia 2 Michelangeli, Alessandro 2 Redivo-Zaglia, Michela 1 Bertaccini, Daniele 1 Brezinski, Claude 1 Dolce, Laura Grazia 1 Durastante, Fabio 1 Noschese, Silvia 1 Picotti, Stefano 1 Reichel, Lothar all top 5 Serials 5 Applied Numerical Mathematics 4 BIT 4 Journal of Computational and Applied Mathematics 3 Journal of Scientific Computing 3 Numerical Linear Algebra with Applications 3 ETNA. Electronic Transactions on Numerical Analysis 2 Journal of Computational Physics 2 Calcolo 2 Numerical Functional Analysis and Optimization 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Scientific Computing 2 Journal of Numerical Mathematics 1 IMA Journal of Numerical Analysis 1 Mathematics of Computation 1 Computing 1 Asymptotic Analysis 1 SIAM Journal on Matrix Analysis and Applications 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Computational Methods in Applied Mathematics all top 5 Fields 46 Numerical analysis (65-XX) 14 Ordinary differential equations (34-XX) 8 Partial differential equations (35-XX) 8 Operator theory (47-XX) 3 Special functions (33-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 507 times in 337 Documents Cited by ▼ Year ▼ RD-rational approximations of the matrix exponential. Zbl 1075.65062 Moret, I.; Novati, P. 82 2004 On Krylov projection methods and Tikhonov regularization. Zbl 1312.65065 Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria 59 2015 Rational approximation to the fractional Laplacian operator in reaction-diffusion problems. Zbl 1382.65123 Aceto, Lidia; Novati, Paolo 39 2017 On the convergence of Krylov subspace methods for matrix Mittag-Leffler functions. Zbl 1244.65065 Moret, Igor; Novati, Paolo 28 2011 The solution of fractional order epidemic model by implicit Adams methods. Zbl 1446.92004 Ameen, I.; Novati, P. 27 2017 Rational approximations to fractional powers of self-adjoint positive operators. Zbl 07088062 Aceto, Lidia; Novati, Paolo 23 2019 An interpolatory approximation of the matrix exponential based on Faber polynomials. Zbl 0983.65057 Moret, I.; Novati, P. 18 2001 A GCV based Arnoldi-Tikhonov regularization method. Zbl 1317.65104 Novati, Paolo; Russo, Maria Rosaria 16 2014 Automatic parameter setting for Arnoldi-Tikhonov methods. Zbl 1314.65061 Gazzola, Silvia; Novati, Paolo 15 2014 Using the restricted-denominator rational Arnoldi method for exponential integrators. Zbl 1247.65093 Novati, Paolo 14 2011 The computation of functions of matrices by truncated Faber series. Zbl 0992.65010 Moret, I.; Novati, P. 13 2001 Embedded techniques for choosing the parameter in Tikhonov regularization. Zbl 1340.65068 Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria 12 2014 Fractional convolution quadrature based on generalized Adams methods. Zbl 1314.65090 Aceto, Lidia; Magherini, Cecilia; Novati, Paolo 12 2014 Krylov subspace methods for functions of fractional differential operators. Zbl 1476.65083 Moret, Igor; Novati, Paolo 12 2019 A polynomial method based on Fejér points for the computation of functions of unsymmetric matrices. Zbl 1016.65023 Novati, Paolo 10 2003 Numerical approximation to the fractional derivative operator. Zbl 1296.65040 Novati, P. 10 2014 Inheritance of the discrete Picard condition in Krylov subspace methods. Zbl 1353.65023 Gazzola, Silvia; Novati, Paolo 10 2016 On the construction and properties of \(m\)-step methods for FDEs. Zbl 1320.65109 Aceto, Lidia; Magherini, Cecilia; Novati, Paolo 10 2015 Rational Krylov methods for functions of matrices with applications to fractional partial differential equations. Zbl 1452.65201 Aceto, L.; Bertaccini, D.; Durastante, F.; Novati, P. 10 2019 Efficient implementation of rational approximations to fractional differential operators. Zbl 1398.65089 Aceto, Lidia; Novati, Paolo 10 2018 Multi-parameter Arnoldi-Tikhonov methods. Zbl 1288.65084 Gazzola, Silvia; Novati, Paolo 10 2013 Arnoldi decomposition, GMRES, and preconditioning for linear discrete ill-posed problems. Zbl 1417.65119 Gazzola, Silvia; Noschese, Silvia; Novati, Paolo; Reichel, Lothar 8 2019 Interpolating functions of matrices on zeros of quasi-kernel polynomials. Zbl 1164.65387 Moret, I.; Novati, P. 6 2005 Some properties of the Arnoldi-based methods for linear ill-posed problems. Zbl 1367.65084 Novati, Paolo 6 2017 Solving linear initial value problems by Faber polynomials. Zbl 1071.65054 Novati, P. 5 2003 Adaptive Arnoldi-Tikhonov regularization for image restoration. Zbl 1298.65071 Novati, Paolo; Russo, Maria Rosaria 5 2014 On Krylov solutions to infinite-dimensional inverse linear problems. Zbl 1476.65093 Caruso, Noe; Michelangeli, Alessandro; Novati, Paolo 5 2019 Padé-type approximations to the resolvent of fractional powers of operators. Zbl 1443.47015 Aceto, Lidia; Novati, Paolo 5 2020 Some secant approximations for Rosenbrock \(W\)-methods. Zbl 1135.65343 Novati, Paolo 4 2008 A rational Arnoldi approach for ill-conditioned linear systems. Zbl 1254.65051 Brezinski, C.; Novati, P.; Redivo-Zaglia, M. 4 2012 On the construction of restricted-denominator exponential W-methods. Zbl 1141.65058 Novati, Paolo 3 2008 Fast and accurate approximations to fractional powers of operators. Zbl 1514.65025 Aceto, Lidia; Novati, Paolo 3 2022 A convergence result for some Krylov-Tikhonov methods in Hilbert spaces. Zbl 1392.65068 Novati, P. 2 2018 A class of explicit one-step methods of order two for stiff problems. Zbl 1089.65067 Novati, P. 2 2005 Convergence analysis of LSQR for compact operator equations. Zbl 1425.65048 Caruso, Noe Angelo; Novati, Paolo 2 2019 Exponentially convergent trapezoidal rules to approximate fractional powers of operators. Zbl 07545416 Aceto, Lidia; Novati, Paolo 2 2022 An explicit one-step method for stiff problems. Zbl 1032.65075 Novati, P. 1 2003 A low cost Arnoldi method for large linear initial value problems. Zbl 1065.65088 Novati, Paolo 1 2004 Preconditioning linear systems via matrix function evaluation. Zbl 1255.65075 Novati, P.; Redivo-Zaglia, M.; Russo, M. R. 1 2012 A fast and accurate numerical approach for electromagnetic inversion. Zbl 07649267 Denich, Eleonora; Novati, Paolo; Picotti, Stefano 1 2023 On general convergence behaviours of finite-dimensional approximants for abstract linear inverse problems. Zbl 1509.65110 Caruso, Noè Angelo; Michelangeli, Alessandro; Novati, Paolo 1 2022 A fast and accurate numerical approach for electromagnetic inversion. Zbl 07649267 Denich, Eleonora; Novati, Paolo; Picotti, Stefano 1 2023 Fast and accurate approximations to fractional powers of operators. Zbl 1514.65025 Aceto, Lidia; Novati, Paolo 3 2022 Exponentially convergent trapezoidal rules to approximate fractional powers of operators. Zbl 07545416 Aceto, Lidia; Novati, Paolo 2 2022 On general convergence behaviours of finite-dimensional approximants for abstract linear inverse problems. Zbl 1509.65110 Caruso, Noè Angelo; Michelangeli, Alessandro; Novati, Paolo 1 2022 Padé-type approximations to the resolvent of fractional powers of operators. Zbl 1443.47015 Aceto, Lidia; Novati, Paolo 5 2020 Rational approximations to fractional powers of self-adjoint positive operators. Zbl 07088062 Aceto, Lidia; Novati, Paolo 23 2019 Krylov subspace methods for functions of fractional differential operators. Zbl 1476.65083 Moret, Igor; Novati, Paolo 12 2019 Rational Krylov methods for functions of matrices with applications to fractional partial differential equations. Zbl 1452.65201 Aceto, L.; Bertaccini, D.; Durastante, F.; Novati, P. 10 2019 Arnoldi decomposition, GMRES, and preconditioning for linear discrete ill-posed problems. Zbl 1417.65119 Gazzola, Silvia; Noschese, Silvia; Novati, Paolo; Reichel, Lothar 8 2019 On Krylov solutions to infinite-dimensional inverse linear problems. Zbl 1476.65093 Caruso, Noe; Michelangeli, Alessandro; Novati, Paolo 5 2019 Convergence analysis of LSQR for compact operator equations. Zbl 1425.65048 Caruso, Noe Angelo; Novati, Paolo 2 2019 Efficient implementation of rational approximations to fractional differential operators. Zbl 1398.65089 Aceto, Lidia; Novati, Paolo 10 2018 A convergence result for some Krylov-Tikhonov methods in Hilbert spaces. Zbl 1392.65068 Novati, P. 2 2018 Rational approximation to the fractional Laplacian operator in reaction-diffusion problems. Zbl 1382.65123 Aceto, Lidia; Novati, Paolo 39 2017 The solution of fractional order epidemic model by implicit Adams methods. Zbl 1446.92004 Ameen, I.; Novati, P. 27 2017 Some properties of the Arnoldi-based methods for linear ill-posed problems. Zbl 1367.65084 Novati, Paolo 6 2017 Inheritance of the discrete Picard condition in Krylov subspace methods. Zbl 1353.65023 Gazzola, Silvia; Novati, Paolo 10 2016 On Krylov projection methods and Tikhonov regularization. Zbl 1312.65065 Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria 59 2015 On the construction and properties of \(m\)-step methods for FDEs. Zbl 1320.65109 Aceto, Lidia; Magherini, Cecilia; Novati, Paolo 10 2015 A GCV based Arnoldi-Tikhonov regularization method. Zbl 1317.65104 Novati, Paolo; Russo, Maria Rosaria 16 2014 Automatic parameter setting for Arnoldi-Tikhonov methods. Zbl 1314.65061 Gazzola, Silvia; Novati, Paolo 15 2014 Embedded techniques for choosing the parameter in Tikhonov regularization. Zbl 1340.65068 Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria 12 2014 Fractional convolution quadrature based on generalized Adams methods. Zbl 1314.65090 Aceto, Lidia; Magherini, Cecilia; Novati, Paolo 12 2014 Numerical approximation to the fractional derivative operator. Zbl 1296.65040 Novati, P. 10 2014 Adaptive Arnoldi-Tikhonov regularization for image restoration. Zbl 1298.65071 Novati, Paolo; Russo, Maria Rosaria 5 2014 Multi-parameter Arnoldi-Tikhonov methods. Zbl 1288.65084 Gazzola, Silvia; Novati, Paolo 10 2013 A rational Arnoldi approach for ill-conditioned linear systems. Zbl 1254.65051 Brezinski, C.; Novati, P.; Redivo-Zaglia, M. 4 2012 Preconditioning linear systems via matrix function evaluation. Zbl 1255.65075 Novati, P.; Redivo-Zaglia, M.; Russo, M. R. 1 2012 On the convergence of Krylov subspace methods for matrix Mittag-Leffler functions. Zbl 1244.65065 Moret, Igor; Novati, Paolo 28 2011 Using the restricted-denominator rational Arnoldi method for exponential integrators. Zbl 1247.65093 Novati, Paolo 14 2011 Some secant approximations for Rosenbrock \(W\)-methods. Zbl 1135.65343 Novati, Paolo 4 2008 On the construction of restricted-denominator exponential W-methods. Zbl 1141.65058 Novati, Paolo 3 2008 Interpolating functions of matrices on zeros of quasi-kernel polynomials. Zbl 1164.65387 Moret, I.; Novati, P. 6 2005 A class of explicit one-step methods of order two for stiff problems. Zbl 1089.65067 Novati, P. 2 2005 RD-rational approximations of the matrix exponential. Zbl 1075.65062 Moret, I.; Novati, P. 82 2004 A low cost Arnoldi method for large linear initial value problems. Zbl 1065.65088 Novati, Paolo 1 2004 A polynomial method based on Fejér points for the computation of functions of unsymmetric matrices. Zbl 1016.65023 Novati, Paolo 10 2003 Solving linear initial value problems by Faber polynomials. Zbl 1071.65054 Novati, P. 5 2003 An explicit one-step method for stiff problems. Zbl 1032.65075 Novati, P. 1 2003 An interpolatory approximation of the matrix exponential based on Faber polynomials. Zbl 0983.65057 Moret, I.; Novati, P. 18 2001 The computation of functions of matrices by truncated Faber series. Zbl 0992.65010 Moret, I.; Novati, P. 13 2001 all cited Publications top 5 cited Publications all top 5 Cited by 437 Authors 33 Reichel, Lothar 27 Novati, Paolo 17 Gazzola, Silvia 14 Garrappa, Roberto 12 Vabishchevich, Pëtr Nikolaevich 11 Popolizio, Marina 10 Sun, Haiwei 9 Bochev, M. A. 8 Aceto, Lidia 7 Buccini, Alessandro 7 Caliari, Marco 7 Caruso, Noe Angelo 7 Chung, Julianne M. 7 Jia, Zhongxiao 7 Khaliq, Abdul Q. M. 7 Moret, Igor 7 Nagy, James Gerard 6 Durastante, Fabio 6 Güttel, Stefan 6 Hashimoto, Yuka 6 Huang, Guang-Xin 5 Harizanov, Stanislav 5 Lazarov, Raytcho D. 5 Michelangeli, Alessandro 5 Nodera, Takashi 5 Zhang, Lu 4 Bertaccini, Daniele 4 Grimm, Volker 4 Lambers, James V. 4 Margenov, Svetozar D. 4 Pang, Hong-Kui 4 Rodriguez, Giuseppe 4 Russo, Maria Rosaria 4 Sabaté Landman, Malena 4 Schweitzer, Marcel 4 Yin, Feng 3 Alzahrani, S. S. 3 Bentbib, Abdeslem Hafid 3 Bergamaschi, Luca 3 de Sturler, Eric 3 Denich, Eleonora 3 Donatelli, Marco 3 Esmaeili, Shahrokh 3 Furati, Khaled M. 3 Hofreither, Clemens 3 Iyiola, Olaniyi Samuel 3 Jbilou, Khalide 3 Jiang, Jiahua 3 Kazmi, Kamran 3 Noschese, Silvia 3 Onunwor, Enyinda 3 Park, Yonggi 3 Ragni, Stefania 3 Redivo-Zaglia, Michela 3 Sadok, Hassane 3 Saibaba, Arvind Krishna 3 Vanroose, Wim 3 Vianello, Marco 3 Wade, Bruce A. 3 Wu, Gang 3 Xu, Yang 3 Yu, Xuebo 3 Zhao, Jingjun 2 Al-Faqih, Feras M. 2 Ali, Hegagi Mohamed 2 Ameen, Ismail Gad 2 Asante-Asamani, E. O. 2 Băleanu, Dumitru I. 2 Berljafa, Mario 2 Bhatt, Harish P. 2 Brezinski, Claude 2 Cai, Yao-Yuan 2 Celledoni, Elena 2 Čiegis, Raimondas 2 Cong, Yuhao 2 Cornelis, Jeffrey 2 Druskin, Vladimir 2 Duan, Beiping 2 Español, Malena I. 2 Fabien, Brian C. 2 Fenu, Caterina 2 Geurts, Bernard J. 2 Göckler, Tanja 2 Hansen, Per Christian 2 Hochbruck, Marlis 2 Hochstenbach, Michiel E. 2 Jawecki, Tobias 2 Jiang, Xingzhou 2 Kometa, Bawfeh Kingsley 2 Kooij, Gijs L. 2 Kressner, Daniel 2 Li, Dongping 2 Luiken, Nick 2 Meng, Chang 2 Renaut, Rosemary Anne 2 Robol, Leonardo 2 Ruthotto, Lars 2 Saeed, Umer 2 Schenkels, Nick 2 Sète, Olivier ...and 337 more Authors all top 5 Cited in 80 Serials 36 Journal of Computational and Applied Mathematics 21 BIT 20 Applied Numerical Mathematics 18 Journal of Scientific Computing 16 Computers & Mathematics with Applications 16 Numerical Algorithms 16 SIAM Journal on Scientific Computing 12 Journal of Computational Physics 11 Applied Mathematics and Computation 11 Numerical Linear Algebra with Applications 10 Inverse Problems 8 Mathematics and Computers in Simulation 8 SIAM Journal on Numerical Analysis 8 SIAM Journal on Matrix Analysis and Applications 7 Linear Algebra and its Applications 7 ETNA. Electronic Transactions on Numerical Analysis 6 International Journal of Computer Mathematics 4 Applied Mathematical Modelling 4 Fractional Calculus & Applied Analysis 4 Computational Methods in Applied Mathematics 4 East Asian Journal on Applied Mathematics 3 Chaos, Solitons and Fractals 3 Calcolo 3 Numerical Functional Analysis and Optimization 3 Japan Journal of Industrial and Applied Mathematics 3 GAMM-Mitteilungen 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Physica A 2 Mathematics of Computation 2 Numerische Mathematik 2 Optimal Control Applications & Methods 2 Computational and Applied Mathematics 2 Advances in Computational Mathematics 2 Discrete Dynamics in Nature and Society 2 Journal of Numerical Mathematics 2 Journal of Applied Mathematics and Computing 2 Mediterranean Journal of Mathematics 2 Advances in Difference Equations 2 Inverse Problems and Imaging 2 Mathematics 2 International Journal of Applied and Computational Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Computing 1 Gaṇita 1 Integral Equations and Operator Theory 1 Journal of Computational Mathematics 1 Physica D 1 Asymptotic Analysis 1 Computational Mathematics and Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 Fractals 1 Monte Carlo Methods and Applications 1 Complexity 1 ELA. The Electronic Journal of Linear Algebra 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 Acta Mathematica Sinica. English Series 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Applied Mathematics 1 Nonlinear Dynamics and Systems Theory 1 Journal of Machine Learning Research (JMLR) 1 Computational Methods and Function Theory 1 Sampling Theory in Signal and Image Processing 1 International Journal of Numerical Analysis and Modeling 1 Boundary Value Problems 1 Complex Analysis and Operator Theory 1 Operators and Matrices 1 Science China. Mathematics 1 Journal of Applied Analysis and Computation 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Journal of Applied Mathematics and Computational Mechanics 1 AIMS Mathematics 1 Communications on Applied Mathematics and Computation 1 Mathematics in Applied Sciences and Engineering all top 5 Cited in 38 Fields 294 Numerical analysis (65-XX) 86 Partial differential equations (35-XX) 50 Ordinary differential equations (34-XX) 39 Linear and multilinear algebra; matrix theory (15-XX) 35 Real functions (26-XX) 20 Operator theory (47-XX) 20 Biology and other natural sciences (92-XX) 19 Approximations and expansions (41-XX) 16 Information and communication theory, circuits (94-XX) 14 Special functions (33-XX) 10 Integral equations (45-XX) 9 Systems theory; control (93-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Fluid mechanics (76-XX) 7 Operations research, mathematical programming (90-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Probability theory and stochastic processes (60-XX) 5 Optics, electromagnetic theory (78-XX) 4 Functions of a complex variable (30-XX) 4 Functional analysis (46-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Geophysics (86-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year