Muaz Seydaoğlu

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All published works
Action Title Year Authors
+ PDF Chat Efficient Scaling and Squaring Method for the Matrix Exponential 2025 Sergio Blanes
Nikita Kopylov
Muaz Seydaoğlu
+ PDF Chat Efficient scaling and squaring method for the matrix exponential 2024 Sergio Blanes
Nikita Kopylov
Muaz Seydaoğlu
+ An algorithm for the Burgers’ equation using barycentric collocation method with a high-order exponential Lie-group scheme 2022 Muaz Seydaoğlu
+ A meshless two-stage scheme for the fifth-order dispersive models in the science of waves on water 2022 Muaz Seydaoğlu
+ PDF Chat An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation 2021 Philipp Bader
Sergio Blanes
Fernando Casas
Muaz Seydaoğlu
+ An efficient Strang splitting technique combined with the multiquadric-radial basis function for the Burgers’ equation 2021 Muaz Seydaoğlu
Yusuf Uçar
S. Kutluay
+ PDF Chat Computing the matrix sine and cosine simultaneously with a reduced number of products 2021 Muaz Seydaoğlu
Philipp Bader
Sergio Blanes
Fernando Casas
+ An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation 2021 Philipp Bader
Sergio Blanes
Fernando Casas
Muaz Seydaoğlu
+ Computing the matrix sine and cosine simultaneously with a reduced number of products 2020 Muaz Seydaoğlu
Philipp Bader
Sergio Blanes
Fernando Casas
+ An efficient numerical treatment for the asymptotic behaviour of the nonlinear Airy-type problems 2020 Muaz Seydaoğlu
Hüseyin Koçak
Utku Erdoğan
+ Computing the matrix sine and cosine simultaneously with a reduced number of products 2020 Muaz Seydaoğlu
Philipp Bader
Sergio Blanes
Fernando Casas
+ PDF Chat Issue Information 2019 Steven Perez
George F. Pinder
J. R. Whiteman
Feng Liao
Luming Zhang
Xiuling Hu
Weiyan Xu
Hong Sun
Luigi Brugnano
Gianmarco Gurioli
+ On the convergence of operator splitting for the Rosenau–Burgers equation 2019 Fatma Zürnacı
Muaz Seydaoğlu
+ PDF Chat An integral formulation for the global error of Lie Trotter splitting scheme 2019 Muaz Seydaoğlu
+ PDF Chat A Meshless Method for Burgers’ Equation Using Multiquadric Radial Basis Functions With a Lie-Group Integrator 2019 Muaz Seydaoğlu
+ An accurate approximation algorithm for Burgers’ equation in the presence of small viscosity 2018 Muaz Seydaoğlu
+ Convergence analysis and numerical solution of the Benjamin-Bona-Mahony equation by Lie-Trotter splitting 2018 Fatma Ürnaci
Nurcan Üc Üyenen Kaymak
Muaz Glu
Gamze Glu
+ Symplectic integrators for the matrix Hill equation 2016 Philipp Bader
Sergio Blanes
E. Ponsoda
Muaz Seydaoğlu
+ Splitting methods for autonomous and non-autonomous perturbed equations 2016 Muaz Seydaoğlu
+ Numerical solution of Burgers’ equation with high order splitting methods 2015 Muaz Seydaoğlu
Utku Erdoğan
Turgut Öziş
+ PDF Chat The Scaling, Splitting, and Squaring Method for the Exponential of Perturbed Matrices 2015 Philipp Bader
Sergio Blanes
Muaz Seydaoğlu
+ Symplectic integrators for the matrix Hill's equation and its applications to engineering models 2015 Philipp Bader
Sergio Blanes
E. Ponsoda
Muaz Seydaoğlu
+ Numerical solution of the Burgers' equation with high order splitting methods 2014 Muaz Seydaoğlu
Utku Erdoğan
Turgut Öziş
+ PDF Chat High-order splitting methods for separable non-autonomous parabolic equations 2014 Muaz Seydaoğlu
Sergio Blanes
+ Numerical solution of the Burgers' equation with high order splitting methods 2014 Muaz Seydaoğlu
Utku Erdoğan
Turgut Öziş
+ High-order splitting methods for separable non-autonomous parabolic equations 2013 Muaz Seydaoğlu
Sergio Blanes
+ High-order splitting methods for separable non-autonomous parabolic equations 2013 Muaz Seydaoğlu
Sergio Blanes
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Composition methods in the presence of small parameters 1995 Robert I. McLachlan
7
+ PDF Chat Splitting methods with complex times for parabolic equations 2009 F. Castella
P. Chartier
Stéphane Descombes
Gilles Vilmart
7
+ Fourth- and sixth-order commutator-free Magnus integrators for linear and non-linear dynamical systems 2005 Sergio Blanes
P.C. Moan
7
+ Higher-order hybrid Monte Carlo algorithms 1989 Michael Creutz
Andreas Gocksch
7
+ Construction of higher order symplectic integrators 1990 Haruo Yoshida
7
+ PDF Chat New families of symplectic splitting methods for numerical integration in dynamical astronomy 2013 Sergio Blanes
Fernando Casas
Ariadna Farrés
J. Laskar
Joseba Makazaga
Ander Murua
7
+ PDF Chat High-order splitting methods for separable non-autonomous parabolic equations 2014 Muaz Seydaoğlu
Sergio Blanes
7
+ PDF Chat Optimized high-order splitting methods for some classes of parabolic equations 2012 Sergio Blanes
Fernando Casas
P. Chartier
Ander Murua
7
+ PDF Chat Fourier methods for the perturbed harmonic oscillator in linear and nonlinear Schrödinger equations 2011 Philipp Bader
Sergio Blanes
7
+ Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations 2009 Ernst Hairer
Christian Lubich
Gerhard Wanner
6
+ PDF Chat Computing matrix functions 2010 Nicholas J. Higham
Awad H. Al-Mohy
6
+ Splitting and composition methods for explicit time dependence in separable dynamical systems 2010 Sergio Blanes
Fasma Diele
Carmela Marangi
Stefania Ragni
6
+ PDF Chat The Magnus expansion and some of its applications 2008 Sergio Blanes
Fernando Casas
J A Oteo
J Ros
6
+ On a quasi-linear parabolic equation occurring in aerodynamics 1951 Julian D. Cole
6
+ PDF Chat Exponential splitting for unbounded operators 2009 Eskil Hansen
Alexander Ostermann
6
+ PDF Chat Lie-group methods 2000 Arieh Iserles
Hans Munthe–Kaas
Syvert P. Nørsett
Antonella Zanna
5
+ On the Number of Nonscalar Multiplications Necessary to Evaluate Polynomials 1973 Michael S. Paterson
Larry J. Stockmeyer
5
+ On the necessity of negative coefficients for operator splitting schemes of order higher than two 2004 Sergio Blanes
Fernando Casas
5
+ The partial differential equation u<sub>t</sub> + uu<sub>x</sub> = μ<sub>xx</sub> 1950 Eberhard Hopf
5
+ Numerical solution of Burgers’ equation with high order splitting methods 2015 Muaz Seydaoğlu
Utku Erdoğan
Turgut Öziş
5
+ PDF Chat High-order commutator-free exponential time-propagation of driven quantum systems 2011 Andreas Alvermann
Holger Fehske
5
+ PDF Chat Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later 2003 C Moler
Charles Van Loan
5
+ High order splitting methods for analytic semigroups exist 2009 Eskil Hansen
Alexander Ostermann
5
+ PDF Chat Operator splitting for the KdV equation 2010 Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
Terence Tao
5
+ <i>N</i>th-Order Operator Splitting Schemes and Nonreversible Systems 1996 Daniel Goldman
Tasso J. Kaper
4
+ PDF Chat Operator splitting for partial differential equations with Burgers nonlinearity 2012 Helge Holden
Christian Lubich
Nils Henrik Risebro
4
+ PDF Chat Numerical Solution of Turbulence Problems by Solving Burgers’ Equation 2015 Alicia Cordero
Antonio Franques
Juan R. Torregrosa
4
+ PDF Chat Expokit 1998 Roger B. Sidje
4
+ Solving Linear Partial Differential Equations by Exponential Splitting 1989 Qin Sheng
4
+ PDF Chat The Scaling, Splitting, and Squaring Method for the Exponential of Perturbed Matrices 2015 Philipp Bader
Sergio Blanes
Muaz Seydaoğlu
4
+ PDF Chat The Scaling and Squaring Method for the Matrix Exponential Revisited 2005 Nicholas J. Higham
4
+ PDF Chat Boosting the computation of the matrix exponential 2018 Jorge Sastre
Javier Ibáñez
Emilio Defez
4
+ Lie methods for nonlinear dynamics with applications to accelerator physics 2011 Alex J. Dragt
4
+ Practical symplectic partitioned Runge–Kutta and Runge–Kutta–Nyström methods 2002 Sergio Blanes
P.C. Moan
4
+ Operator Splitting Methods for Generalized Korteweg–De Vries Equations 1999 Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
4
+ PDF Chat Computing the Matrix Exponential with an Optimized Taylor Polynomial Approximation 2019 Philipp Bader
Sergio Blanes
Fernando Casas
4
+ On the exponential solution of differential equations for a linear operator 1954 Wilhelm Magnus
4
+ Efficient evaluation of matrix polynomials 2017 Jorge Sastre
4
+ PDF Chat Approximating the exponential from a Lie algebra to a Lie group 2000 Elena Celledoni
Arieh Iserles
3
+ From Quantum to Classical Molecular Dynamics: Reduced Models and Numerical Analysis 2008 Christian Lubich
3
+ A numerical study of the Burgers’ equation 2007 Bülent Saka
İdris Dağ
3
+ Cubic spline technique for solution of Burgers' equation with a semi‐linear boundary condition 1992 Pragya Jain
Rama Shankar
Talwinder Singh
3
+ PDF Chat Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs 2012 Sergio Blanes
E. Ponsoda
3
+ An implicit fourth-order compact finite difference scheme for one-dimensional Burgers’ equation 2008 Wenyuan Liao
3
+ A linearized numerical scheme for Burgers-like equations 2003 S. Kutluay
Alaattin Esen
3
+ PDF Chat Symplectic Integrators with Complex Time Steps 2003 John Chambers
3
+ Efficient numerical integration of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si20.gif" display="inline" overflow="scroll"><mml:mi>N</mml:mi></mml:math>th-order non-autonomous linear differential equations 2015 Philipp Bader
Sergio Blanes
Fernando Casas
E. Ponsoda
3
+ PDF Chat An efficient algorithm based on splitting for the time integration of the Schrödinger equation 2015 Sergio Blanes
Fernando Casas
Ander Murua
3
+ PDF Chat Accurate and efficient matrix exponential computation 2013 Jorge Sastre
Javier Ibáñez
Pedro A. Ruiz
Emilio Defez
3
+ None 2002 Sergio Blanes
Fernando Casas
J Ros
3