Luca Dieci - Publications

Affiliations: 
Georgia Institute of Technology, Atlanta, GA 
Area:
Mathematics

54 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Dieci L. Sliding integration with no projection Applied Numerical Mathematics. 155: 3-15. DOI: 10.1016/J.Apnum.2019.07.013  0.329
2018 Pal RK, Bonetto F, Dieci L, Ruzzene M. A study of deformation localization in nonlinear elastic square lattices under compression. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 376. PMID 30037938 DOI: 10.1098/Rsta.2017.0140  0.301
2015 Dieci L, Pugliese A. Hermitian matrices of three parameters: Perturbing coalescing eigenvalues and a numerical method Mathematics of Computation. 84: 2763-2790. DOI: 10.1090/Mcom/2977  0.586
2015 Dieci L, Elia C, Lopez L. Sharp sufficient attractivity conditions for sliding on a co-dimension 2 discontinuity surface Mathematics and Computers in Simulation. 110: 3-14. DOI: 10.1016/J.Matcom.2013.12.005  0.357
2015 Dieci L, Elia C, Lopez L. Uniqueness of Filippov Sliding Vector Field on the Intersection of Two Surfaces in R3 and Implications for Stability of Periodic Orbits Journal of Nonlinear Science. 25: 1453-1471. DOI: 10.1007/S00332-015-9265-6  0.343
2014 Dieci L, Difonzo F. A comparison of Filippov sliding vector fields in codimension 2 Journal of Computational and Applied Mathematics. 262: 161-179. DOI: 10.1016/J.Cam.2013.10.055  0.325
2014 Dieci L, Elia C. Periodic Orbits for Planar Piecewise Smooth Systems with a Line of Discontinuity Journal of Dynamics and Differential Equations. 26: 1049-1078. DOI: 10.1007/S10884-014-9380-3  0.338
2014 Dieci L, Lopez L. One-sided direct event location techniques in the numerical solution of discontinuous differential systems Bit Numerical Mathematics. DOI: 10.1007/S10543-014-0538-5  0.374
2014 Dieci L, Papini A, Pugliese A, Spadoni A. Continuous decompositions and coalescing eigenvalues for matrices depending on parameters Lecture Notes in Mathematics. 2082: 173-264. DOI: 10.1007/978-3-319-01300-8_4  0.558
2013 Dieci L, Papini A, Pugliese A. Approximating coalescing points for eigenvalues of Hermitian matrices of three parameters Siam Journal On Matrix Analysis and Applications. 34: 519-541. DOI: 10.1137/120898036  0.586
2012 Dieci L, Pugliese A. Hermitian matrices depending on three parameters: Coalescing eigenvalues Linear Algebra and Its Applications. 436: 4120-4142. DOI: 10.1016/J.Laa.2012.01.009  0.544
2011 Dieci L, Jolly MS, Van Vleck ES. Numerical techniques for approximating Lyapunov exponents and their implementation Journal of Computational and Nonlinear Dynamics. 6. DOI: 10.1115/1.4002088  0.427
2011 Dieci L, Gasparo MG, Papini A, Pugliese A. Locating coalescing singular values of large two-parameter matrices Mathematics and Computers in Simulation. 81: 996-1005. DOI: 10.1016/J.Matcom.2010.10.005  0.526
2011 Dieci L, Elia C, van Vleck E. Detecting exponential dichotomy on the real line: SVD and QR algorithms Bit Numerical Mathematics. 51: 555-579. DOI: 10.1007/S10543-010-0306-0  0.367
2011 Dieci L, Lopez L. Sliding motion on discontinuity surfaces of high co-dimension. A construction for selecting a Filippov vector field Numerische Mathematik. 117: 779-811. DOI: 10.1007/S00211-011-0365-4  0.302
2010 Dieci L, Elia C, Van Vleck E. Exponential dichotomy on the real line: SVD and QR methods Journal of Differential Equations. 248: 287-308. DOI: 10.1016/J.Jde.2009.07.004  0.375
2009 Dieci L, Pugliese A. Two-parameter SVD: Coalescing singular values and periodicity Siam Journal On Matrix Analysis and Applications. 31: 375-403. DOI: 10.1137/07067982X  0.568
2008 Dieci L, Jolly MS, Rosa R, Van Vleck ES. Error in approximation of lyapunov exponents on inertial manifolds: The Kuramoto-Sivashinsky equation Discrete and Continuous Dynamical Systems - Series B. 9: 555-580. DOI: 10.3934/Dcdsb.2008.9.555  0.331
2008 Dieci L, Van Vleck ES. On the error in QR integration Siam Journal On Numerical Analysis. 46: 1166-1189. DOI: 10.1137/06067818X  0.369
2008 Dieci L, Pugliese A. Singular values of two-parameter matrices: an algorithm to accurately find their intersections Mathematics and Computers in Simulation. 79: 1255-1269. DOI: 10.1016/J.Matcom.2008.03.012  0.558
2008 Dieci L, Elia C. SVD algorithms to approximate spectra of dynamical systems Mathematics and Computers in Simulation. 79: 1235-1254. DOI: 10.1016/J.Matcom.2008.03.005  0.415
2008 Rasmussen B, Dieci L. A geometrical method for the approximation of invariant tori Journal of Computational and Applied Mathematics. 216: 388-412. DOI: 10.1016/J.Cam.2007.05.025  0.389
2007 Dieci L, Van Vleck ES. Lyapunov and Sacker-Sell spectral intervals Journal of Dynamics and Differential Equations. 19: 265-293. DOI: 10.1007/S10884-006-9030-5  0.416
2006 Dieci L, Elia C. The singular value decomposition to approximate spectra of dynamical systems. Theoretical aspects Journal of Differential Equations. 230: 502-531. DOI: 10.1016/J.Jde.2006.08.007  0.414
2006 Dieci L, Van Vleck ES. Perturbation theory for approximation of Lyapunov exponents by QR methods Journal of Dynamics and Differential Equations. 18: 815-840. DOI: 10.1007/S10884-006-9024-3  0.363
2006 Dieci L, Lopez L. Smooth singular value decomposition on the symplectic group and Lyapunov exponents approximation Calcolo. 43: 1-15. DOI: 10.1007/S10092-006-0111-Y  0.399
2005 Dieci L, Van Vleck ES. On the error in computing Lyapunov exponents by QR Methods Numerische Mathematik. 101: 619-642. DOI: 10.1007/S00211-005-0644-Z  0.348
2005 Dieci L, Gasparo MG, Papini A. Continuation of singular value decompositions Mediterranean Journal of Mathematics. 2: 179-203. DOI: 10.1007/s00009-005-0038-6  0.339
2004 Dieci L, Rebaza J. Point-to-periodic and periodic-to-periodic connections Bit Numerical Mathematics. 44: 41-62. DOI: 10.1023/B:Bitn.0000025093.38710.F6  0.406
2004 Dieci L, Elia C, Lopez L. Smooth SVD on the Lorentz group with application to computation of Lyapunov exponents Journal of Computational and Applied Mathematics. 164: 255-264. DOI: 10.1016/S0377-0427(03)00644-7  0.412
2003 Dieci L, Lopez L. Lyapunov exponents of systems evolving on quadratic groups Siam Journal On Matrix Analysis and Applications. 24: 1175-1185. DOI: 10.1137/S0895479801391011  0.346
2002 Dieci L, Van Vleck ES. Lyapunov spectral intervals: Theory and computation Siam Journal On Numerical Analysis. 40: 516-542. DOI: 10.1137/S0036142901392304  0.389
2002 Dieci L. Jacobian free computation of Lyapunov exponents Journal of Dynamics and Differential Equations. 14: 697-717. DOI: 10.1023/A:1016395301189  0.425
2000 Demmel JW, Dieci L, Friedman MJ. Computing connecting orbits via an improved algorithm for continuing invariant subspaces Siam Journal On Scientific Computing. 22: 81-94. DOI: 10.1137/S1064827598344868  0.348
2000 Chern JL, Dieci L. Smoothness and periodicity of some matrix decompositions Siam Journal On Matrix Analysis and Applications. 22: 772-792. DOI: 10.1137/S0895479899353622  0.314
2000 Dieci L, Papini A. Padé approximation for the exponential of a block triangular matrix Linear Algebra and Its Applications. 308: 183-202. DOI: 10.1016/S0024-3795(00)00042-2  0.366
1999 Dieci L, Morini B, Papini A, Pasquali A. On real logarithms of nearby matrices and structured matrix interpolation Applied Numerical Mathematics. 29: 145-165. DOI: 10.1016/S0168-9274(98)00027-0  0.408
1999 Dieci L, Van Vleck ES. Computation of orthonormal factors for fundamental solution matrices Numerische Mathematik. 83: 599-620. DOI: 10.1007/S002119900083  0.363
1998 Dieci L. Real Hamiltonian logarithm of a symplectic matrix Linear Algebra and Its Applications. 281: 227-246. DOI: 10.1016/S0024-3795(98)10043-5  0.374
1997 Dieci L, Russell RD, Van Vleck ES. On the computation of lyapunov exponents for continuous dynamical systems Siam Journal On Numerical Analysis. 34: 402-403. DOI: 10.1137/S0036142993247311  0.403
1997 Dieci L, Lorenz J. Lyapunov-type numbers and torus breakdown: Numerical aspects and a case study Numerical Algorithms. 14: 79-102. DOI: 10.1023/A:1019100627272  0.306
1996 Dieci L, Morini B, Papini A. Computational techniques for real logarithms of matrices Siam Journal On Matrix Analysis and Applications. 17: 570-593. DOI: 10.1137/S0895479894273614  0.38
1996 Dieci L. Considerations on computing real logarithms of matrices, Hamiltonian logarithms, and skew-symmetric logarithms Linear Algebra and Its Applications. 244: 35-54. DOI: 10.1016/0024-3795(94)00206-1  0.311
1995 Dieci L, Lorenz J. Computation of invariant tori by the method of characteristics Siam Journal On Numerical Analysis. 32: 1436-1474. DOI: 10.1137/0732066  0.421
1995 Dieci L, Van Vleck ES. Computation of a few Lyapunov exponents for continuous and discrete dynamical systems Applied Numerical Mathematics. 17: 275-291. DOI: 10.1016/0168-9274(95)00033-Q  0.391
1995 Dieci L, Bader G. Block iterations and compactification for periodic block dominant systems associated to invariant tori approximation Applied Numerical Mathematics. 17: 251-274. DOI: 10.1016/0168-9274(95)00032-P  0.421
1994 Dieci L, Bader G. Solution of the systems associated with invariant tori approximation. II: multigrid methods Siam Journal On Scientific Computing. 15: 1375-1400. DOI: 10.1137/0915083  0.383
1994 Dieci L, Russell RD, Van Vleck ES. Unitary Integrators and Applications to Continuous Orthonormalization Techniques Siam Journal On Numerical Analysis. 31: 261-281. DOI: 10.1137/0731014  0.391
1994 Dieci L. Structure preserving piecewise polynomial interpolation for definite matrices Linear Algebra and Its Applications. 202: 25-32. DOI: 10.1016/0024-3795(94)90182-1  0.327
1993 Dieci L. On the decoupling of dichotomic linear Hamiltonians. Considerations on integrating symmetric differential Riccati equations Journal of Computational and Applied Mathematics. 45: 47-63. DOI: 10.1016/0377-0427(93)90264-C  0.418
1992 Dieci L, Lorenz J. Block M -matrices and computation of invariant tori Siam Journal On Scientific and Statistical Computing. 13: 885-903. DOI: 10.1137/0913053  0.431
1992 Dieci L. Numerical integration of the differential Riccati equation and some related issues Siam Journal On Numerical Analysis. 29: 781-815. DOI: 10.1137/0729049  0.392
1991 Dieci L, Estep D. Some Stability Aspects of Schemes for the Adaptive Integration of Siff Initial Value Problems Siam Journal On Scientific and Statistical Computing. 12: 1284-1303. DOI: 10.1137/0912069  0.37
1991 Dieci L, Lorenz J, Russell RD. Numerical calculation of invariant tori Siam Journal On Scientific and Statistical Computing. 12: 607-647. DOI: 10.1137/0912033  0.368
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