C. Tsitouras

发表

Fitted modifications of classical Runge‐Kutta pairs of orders 5(4)

T. E. Simos, T. Simos, C. Tsitouras, 2018 .

International Conference on Numerical Analysis and Applied Mathematics 2008

Theodore E. Simos, Ch. Tsitouras, T. Simos, 2008 .

Fitted modifications of Runge‐Kutta pairs of orders 6(5)

T. E. Simos, C. Tsitouras, M. Medvedev, 2018, Mathematical Methods in the Applied Sciences.

Optimized explicit Runge-Kutta pair of orders 9(8)

Ch. Tsitouras, C. Tsitouras, 2001 .

Highly Continuous Interpolants for One-Step ODE Solvers and their Application to Runge--Kutta Methods

C. Tsitouras, S. Papakostas, 1997 .

A general family of explicit Runge-Kutta pairs of orders 6(5)

Ch. Tsitouras, G. Papageorgiou, C. Tsitouras, 1996 .

Runge‐Kutta Pairs of Orders 5(4) using the Minimal Set of Simplifying Assumptions

C. Tsitouras, 2009 .

Evolutionary derivation of Runge–Kutta pairs for addressing inhomogeneous linear problems

T. Simos, C. Tsitouras, 2020, Numerical Algorithms.

Exponential integrators for linear inhomogeneous problems

T. E. Simos, M. Medvedeva, C. Tsitouras, 2020, Mathematical Methods in the Applied Sciences.

Direct estimation of SIR model parameters through second‐order finite differences

V. Katsikis, M. Medvedeva, T. Simos, 2020, Mathematical Methods in the Applied Sciences.

A Tenth Order Symplectic Runge–Kutta–Nyström Method

C. Tsitouras, 1999 .

Symbolic derivation of Runge–Kutta–Nyström order conditions

C. Tsitouras, I. Famelis, 2009 .

A new eighth order exponentially fitted explicit Numerov-type method for solving oscillatory problems

C. Tsitouras, I. Famelis, 2018, Journal of Mathematical Chemistry.

Local interpolants for Numerov‐type methods and their implementation in variable step schemes

T. Simos, C. Tsitouras, M. Medvedev, 2019, Mathematical Methods in the Applied Sciences.

Eighth‐order, phase‐fitted, four‐step methods for solving y′′=f(x,y)

I. Alolyan, T. Simos, C. Tsitouras, 2019, Mathematical Methods in the Applied Sciences.

Variable step‐size implementation of sixth‐order Numerov‐type methods

M. Medvedeva, T. Simos, C. Tsitouras, 2019, Mathematical Methods in the Applied Sciences.

Hybrid, phase–fitted, four–step methods of seventh order for solving x″(t) = f(t,x)

T. Simos, C. Tsitouras, M. Medvedev, 2019, Mathematical Methods in the Applied Sciences.

Using neural networks for the derivation of Runge–Kutta–Nyström pairs for integration of orbits

C. Tsitouras, I. Famelis, 2012 .

Symbolic derivation of order conditions for hybrid Numerov-type methods solving y˝=f(x,y)

C. Tsitouras, I. Famelis, 2008 .

Explicit, Eighth-Order, Four-Step Methods for Solving $$y^{\prime \prime }=f(x,y)$$

T. E. Simos, C. Tsitouras, M. Medvedev, 2020 .

Quadratic Störmer‐type methods for the solution of the Boussinesq equation by the method of lines

C. Tsitouras, I. Famelis, 2008 .

Runge-Kutta-Nyström methods of eighth order for addressing Linear Inhomogeneous problems

T. E. Simos, C. Tsitouras, V. Kovalnogov, 2022, J. Comput. Appl. Math..

Explicit two-step methods for second-order linear IVPs

C. Tsitouras, 2002 .

Evolutionary Derivation of Runge–Kutta Pairs of Orders 5(4) Specially Tuned for Problems with Periodic Solutions

T. Simos, C. Tsitouras, V. Kovalnogov, 2021, Mathematics.

A Neural Network Technique for the Derivation of Runge–Kutta Pairs Adjusted for Scalar Autonomous Problems

T. Simos, C. Tsitouras, V. Kovalnogov, 2021, Mathematics.

Runge–Kutta Pairs of Orders 6(5) with Coefficients Trained to Perform Best on Classical Orbits

T. E. Simos, C. Tsitouras, Chia-Liang Lin, 2021, Mathematics.

Neural networks with multidimensional transfer functions

Charalampos Tsitouras, C. Tsitouras, 2002, IEEE Trans. Neural Networks.

Sixth Order Numerov-Type Methods with Coefficients Trained to Perform Best on Problems with Oscillating Solutions

Tamara V. Karpukhina, T. Simos, C. Tsitouras, 2021, Mathematics.

Runge–Kutta Pairs of Orders 5(4) Trained to Best Address Keplerian Type Orbits

Tamara V. Karpukhina, T. Simos, C. Tsitouras, 2021, Mathematics.

On the modification of Differential Evolution strategy for the construction of Runge Kutta pairs

Ioannis Th. Famelis, Ch. Tsitouras, C. Tsitouras, 2016 .

On modified Runge-Kutta trees and methods

Theodore E. Simos, Ioannis Th. Famelis, Charalampos Tsitouras, 2011, Comput. Math. Appl..

Runge-Kutta pairs of order 5(4) satisfying only the first column simplifying assumption

Charalampos Tsitouras, C. Tsitouras, 2011, Comput. Math. Appl..

Quadratic SDIRK pair for treating chemical reaction problems.

C. Tsitouras, 2008 .

Runge–Kutta interpolants for high precision computations

Charalampos Tsitouras, C. Tsitouras, 2007, Numerical Algorithms.

Phase-Fitted modified Runge-Kutta pairs of orders 6(5).

C. Tsitouras, 2006 .

Continuous extensions to high order runge-kutta methods

George Papageorgiou, Charalampos Tsitouras, C. Tsitouras, 1997, Int. J. Comput. Math..

On a New Family of Runge–Kutta–Nyström Pairs of Orders 6(4)

T. Simos, C. Tsitouras, V. Kovalnogov, 2022, Mathematics.

ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010

Theodore E. Simos, George Psihoyios, Ch. Tsitouras, 2010 .

Runge–Kutta Embedded Methods of Orders 8(7) for Use in Quadruple Precision Computations

Tamara V. Karpukhina, T. Simos, C. Tsitouras, 2022, Mathematics.

Eighth Order Two-Step Methods Trained to Perform Better on Keplerian-Type Orbits

T. Simos, C. Tsitouras, V. Kovalnogov, 2021, Mathematics.

New family for Runge‐Kutta‐Nyström pairs of orders 6(4) with coefficients trained to address oscillatory problems

T. E. Simos, C. Tsitouras, V. Kovalnogov, 2022, Mathematical Methods in the Applied Sciences.

Fitted modifications of Runge–Kutta–Nyström pairs of orders 7(5) for addressing oscillatory problems

T. Simos, C. Tsitouras, V. Kovalnogov, 2022, Mathematical Methods in the Applied Sciences.

Explicit Runge-Kutta methods for starting integration of Lane-Emden problem

Charalampos Tsitouras, C. Tsitouras, 2019, Appl. Math. Comput..

Symbolic derivation of Runge-Kutta order conditions

Ioannis Th. Famelis, Charalampos Tsitouras, S. N. Papakostas, 2004, J. Symb. Comput..

Enumeration of Rosenberg-type hypercompositional structures defined by binary relations

Charalampos Tsitouras, Ch. G. Massouros, C. Tsitouras, 2012, Eur. J. Comb..

ENUMERATION OF HYPERCOMPOSITIONAL STRUCTURES DEFINED BY BINARY RELATIONS

Ch. Tsitouras, Massouros Ch.G., C. Tsitouras, 2011 .

Cheap Error Estimation for Runge-Kutta Methods

Charalampos Tsitouras, S. N. Papakostas, C. Tsitouras, 1999, SIAM J. Sci. Comput..

On high order Runge-Kutta-Nyström pairs

T. Simos, C. Tsitouras, 2022, Journal of Computational and Applied Mathematics.

Runge–Kutta–Nyström Pairs of Orders 8(6) for Use in Quadruple Precision Computations

Tamara V. Karpukhina, T. Simos, C. Tsitouras, 2023, Mathematics.

Efficiently inaccurate approximation of hyperbolic tangent used as transfer function in artificial neural networks

Theodore E. Simos, Charalampos Tsitouras, T. Simos, 2021, Neural Computing and Applications.

Runge–Kutta pairs of orders 8(7) with extended stability regions for addressing linear inhomogeneous systems

Tamara V. Karpukhina, T. Simos, C. Tsitouras, 2022, Mathematical Methods in the Applied Sciences.

Explicit, ninth order, two step methods for solving inhomogeneous linear problems x″(t)=Λx(t)+f(t)

C. Tsitouras, T. Simos, 2020 .

Ninth‐order, explicit, two‐step methods for second‐order inhomogeneous linear IVPs

T. Simos, C. Tsitouras, V. Kovalnogov, 2020, Mathematical Methods in the Applied Sciences.

Hybrid Numerov-Type Methods with Coefficients Trained to Perform Better on Classical Orbits

Chenglian Liu, Ch. Tsitouras, T. E. Simos, 2019, Bulletin of the Malaysian Mathematical Sciences Society.

Trigonometric-Fitted Explicit Numerov-Type Method with Vanishing Phase-Lag and Its First and Second Derivatives

Ch. Tsitouras, T. E. Simos, C. Tsitouras, 2018, Mediterranean Journal of Mathematics.

Evolutionary generation of explicit two step methods for second order linear IVPs

V. Katsikis, C. Tsitouras, S. Papakostas, 2016 .

Runge–Kutta pairs suited for SIR‐type epidemic models

T. Simos, C. Tsitouras, V. Kovalnogov, 2020, Mathematical Methods in the Applied Sciences.

On Reusing the Stages of a Rejected Runge-Kutta Step

Tamara V. Karpukhina, T. Simos, C. Tsitouras, 2023, Mathematics.

Trigonometric fitted modification of RADAU5

M. Medvedeva, T. Simos, C. Tsitouras, 2019, Mathematical Methods in the Applied Sciences.

Zero Dissipative, Explicit Numerov-Type Methods for Second Order IVPs with Oscillating Solutions

Theodore E. Simos, Ioannis Th. Famelis, Charalampos Tsitouras, 2003, Numerical Algorithms.

Eighth order, phase-fitted, six-step methods for solving $$y^{\prime \prime }=f(x,y)$$y″=f(x,y)

C. Tsitouras, 2020 .

Eighth order, phase-fitted, six-step methods for solving y″=f(x,y)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$y^{\

C. Tsitouras, 2019, Journal of Mathematical Chemistry.

Phase‐fitted, six‐step methods for solving x′′ = f(t,x)

T. E. Simos, C. Tsitouras, Chieh-Wen Hsu, 2019, Mathematical Methods in the Applied Sciences.

Explicit hybrid six–step, sixth order, fully symmetric methods for solving y ″ = f (x,y)

T. Simos, C. Tsitouras, Chieh-Wen Hsu, 2019, Mathematical Methods in the Applied Sciences.

Trigonometric–fitted hybrid four–step methods of sixth order for solving y′′(x)=f(x,y)

T. E. Simos, Ch. Tsitouras, Maxim A. Medvedev, 2018, Mathematical Methods in the Applied Sciences.

Explicit, two‐stage, sixth‐order, hybrid four‐step methods for solving y′′(x)=f(x,y)

T. E. Simos, Ch. Tsitouras, Maxim A. Medvedev, 2018, Mathematical Methods in the Applied Sciences.

Phase-fitted Runge-Kutta pairs of orders 8(7)

Theodore E. Simos, Ioannis Th. Famelis, Charalampos Tsitouras, 2017, J. Comput. Appl. Math..

High phase-lag order Runge Kutta pairs of orders 8(7)

C. Tsitouras, I. Famelis, 2017 .

On modifications of Runge-Kutta-Nyström methods for solving y(4) = f(x, y)

Ioannis Th. Famelis, Charalampos Tsitouras, C. Tsitouras, 2016, Appl. Math. Comput..

High algebraic, high phase-lag order embedded Numerov-type methods for oscillatory problems

Ch. Tsitouras, T. E. Simos, T. E. Simos, 2002, Appl. Math. Comput..

Explicit high order methods for the numerical integration of periodic initial-value problems

Theodore E. Simos, Charalampos Tsitouras, T. Simos, 1998, Appl. Math. Comput..

A P-stable singly diagonally implicit Runge–Kutta–Nyström method

George Papageorgiou, Ioannis Th. Famelis, Charalampos Tsitouras, 1998, Numerical Algorithms.

Sixth‐order, P‐stable, Numerov‐type methods for use at moderate accuracies

M. Medvedeva, T. Simos, C. Tsitouras, 2021, Mathematical Methods in the Applied Sciences.

Creep sagging analysis of pressure pipes

C. Tsitouras, D. Pavlou, A. Fatsis, 2006 .

Generic C++ Implementation of High-Performance BFS-RBF-based Mesh Motion Schemes

J. Wensch, T. Simos, C. Tsitouras, 2010 .

Optimized Runge-Kutta pairs for problems with oscillating solutions

Ch. Tsitouras, Tom E. Simos, C. Tsitouras, 2002 .

Explicit Numerov Type Methods with Reduced Number of Stages

Ch. Tsitouras, C. Tsitouras, 2003 .

A parameter study of explicit Runge-Kutta pairs of orders 6(5)

C. Tsitouras, 1998 .

A Coupled Finite Volume Solver for Compressible Flows

M. Darwish, F. Moukalled, T. Simos, 2008 .

Square Roots of Total Boolean Matrices: Enumeration Issues

S. Voliotis, C. Tsitouras, Christos Massouros, 2009, 2009 16th International Conference on Systems, Signals and Image Processing.

Rational Approximants to the Solution of the Brusselator System compared to the Adomian Decomposition Method

C. Tsitouras, 2009 .

Optimal Control In Predation Of Models And Mimics

A. Tsoularis, C. Tsitouras, G. Psihoyios, 2007 .

Solving Stiff Problems Using Generalized Picard Iterations

P. A. Mandrik, T. Simos, C. Tsitouras, 2009 .

Some new Runge-Kutta methods with interpolation properties and their application to the Magnetic-Binary Problem

Ch. Tsitouras, G. Papageorgiou, T. Simos, 1988 .

Low‐order, P‐stable, two‐step methods for use with lax accuracies

Theodore E. Simos, Maxim A. Medvedev, Charalampos Tsitouras, 2019, Mathematical Methods in the Applied Sciences.

Stage Reduction on P-Stable Numerov Type Methods of Eighth Order

C. Tsitouras, 2006, International Conference of Computational Methods in Sciences and Engineering 2004 (ICCMSE 2004).

Stiffness Detection Strategy for Explicit Runge Kutta Methods

T. Simos, C. Tsitouras, G. Psihoyios, 2010 .

Miniversal Deformations of Pairs of Symmetric Second‐order Tensors in the Context of Solid Mechanics

J. Clotet, T. Simos, M. Magret, 2007 .

On the Navier-Stokes equations with free convection in 3D triangular symmetric channels

C. Tsitouras, R. S. Kraußhar, G. Psihoyios, 2007 .

Applications of Hyper‐Complex Analysis in Yang‐Mills Gauge Theories

J. Tolksdorf, C. Tsitouras, R. S. Kraußhar, 2007 .