Works matching AU Simos, T. E.

Results: 156

Handling effectively the rejected stages in Runge–Kutta pairs implementation.

Published in:

Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 12, p. 10390, doi. 10.1002/mma.10128

By:

Xiang, Er‐Ping;
Lin, Chia‐Liang;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

Midway reassignment of Runge–Kutta step length.

Published in:

Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 16, p. 16701, doi. 10.1002/mma.9469

By:

Kovalnogov, V. N.;
Fedorov, R. V.;
Demidov, D. A.;
Malyoshina, M. A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

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

Published in:

Mathematical Methods in the Applied Sciences, 2021, v. 44, n. 8, p. 6923, doi. 10.1002/mma.7233

By:

Medvedeva, Marina A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

Exponential integrators for linear inhomogeneous problems.

Published in:

Mathematical Methods in the Applied Sciences, 2021, v. 44, n. 1, p. 937, doi. 10.1002/mma.6802

By:

Medvedeva, Marina A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

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

Published in:

Mathematical Methods in the Applied Sciences, 2019, v. 42, n. 11, p. 3942, doi. 10.1002/mma.5623

By:

Liu, Chenglian;
Hsu, Chieh‐Wen;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

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

Published in:

Mathematical Methods in the Applied Sciences, 2019, v. 42, n. 6, p. 2025, doi. 10.1002/mma.5495

By:

Medvedev, Maxim A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

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

Published in:

Mathematical Methods in the Applied Sciences, 2019, v. 42, n. 2, p. 710, doi. 10.1002/mma.5371

By:

Medvedev, Maxim A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

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

Published in:

Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 16, p. 6997, doi. 10.1002/mma.5211

By:

Medvedev, Maxim A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

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

Published in:

Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 16, p. 6184, doi. 10.1002/mma.5128

By:

Medvedev, Maxim A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

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

Published in:

Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 12, p. 4549, doi. 10.1002/mma.4913

By:

Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

Trigonometric fitted, eighth‐order explicit Numerov‐type methods.

Published in:

Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 5, p. 1845, doi. 10.1002/mma.4711

By:

Berg, Dmitry B.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

Evolutionary generation of high-order, explicit, two-step methods for second-order linear IVPs.

Published in:

Mathematical Methods in the Applied Sciences, 2017, v. 40, n. 18, p. 6276, doi. 10.1002/mma.4454

By:

Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

Modified two-step hybrid methods for the numerical integration of oscillatory problems.

Published in:

Mathematical Methods in the Applied Sciences, 2017, v. 40, n. 14, p. 5286, doi. 10.1002/mma.4386

By:

Monovasilis, T.;
Kalogiratou, Z.;
Ramos, Higinio;
Simos, T. E.

Publication type:

Article

AN ACCURATE EXPONENTIALLY FITTED EXPLICIT FOUR-STEP METHOD FOR THE NUMERICAL SOLUTION OF THE RADIAL SCHRÖDINGER EQUATION.

Published in:

International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 1998, v. 13, n. 15, p. 2613, doi. 10.1142/S0217751X98001347

By:

SIMOS, T. E.

Publication type:

Article

SOME MODIFIED RUNGE-KUTTA METHODS FOR THE NUMERICAL SOLUTION OF SOME SPECIFIC SCHRÖDINGER EQUATIONS AND RELATED PROBLEMS.

Published in:

International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 1996, v. 11, n. 26, p. 4731, doi. 10.1142/S0217751X96002169

By:

SIMOS, T. E.;
WILLIAMS, P. S.

Publication type:

Article

Guest editorial.

Published in:

2005

By:

Simos, T. E.;
Psihoyios, G.

Publication type:

Editorial

A P-stable exponentially-fitted method for the numerical integration of the Schrödinger equation.

Published in:

Molecular Simulation, 2005, v. 31, n. 14/15, p. 1095, doi. 10.1080/08927020500371373

By:

Simos, T. E.

Publication type:

Article

High Algebraic Order Methods for the Numerical Solution of the Schrödinger Equation.

Published in:

Molecular Simulation, 1999, v. 22, n. 4/5, p. 303, doi. 10.1080/08927029908022103

By:

Simos, T. E.

Publication type:

Article

A Sixth Order Bessel and Neurnann Fitted Method for the Numerical Solution of the Schrödinger Equation.

Published in:

Molecular Simulation, 1999, v. 21, n. 4, p. 191, doi. 10.1080/08927029908022061

By:

Simos, T. E.

Publication type:

Article

An Accurate Exponentially-Fitted Four-Step Method for the Numerical Solution of the Radial Schrödinger Equation.

Published in:

Molecular Simulation, 1998, v. 20, n. 5, p. 285, doi. 10.1080/08927029808022038

By:

Simos, T. E.

Publication type:

Article

A fourth algebraic order exponentially‐fitted Runge–Kutta method for the numerical solution of the Schrödinger equation.

Published in:

IMA Journal of Numerical Analysis, 2001, v. 21, n. 4, p. 919, doi. 10.1093/imanum/21.4.919

By:

Simos, T. E.

Publication type:

Article

Some New Four-Step Exponential-Fitting Methods for the Numerical Solution of the Radical Schrödinger Equation.

Published in:

IMA Journal of Numerical Analysis, 1991, v. 11, n. 3, p. 347

By:

SIMOS, T. E.

Publication type:

Article

Hybrid high algebraic order two-step method with vanished phase-lag and its first, second, third, fourth and fifth derivatives.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2016, v. 27, n. 5, p. 1, doi. 10.1142/S0129183116500492

By:

Ma, Junyan;
Simos, T. E.

Publication type:

Article

ACCURATELY CLOSED NEWTON-COTES TRIGONOMETRICALLY-FITTED FORMULAE FOR THE NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2013, v. 24, n. 3, p. -1, doi. 10.1142/S0129183113500149

By:

SIMOS, T. E.

Publication type:

Article

TWO NEW PHASE-FITTED SYMPLECTIC PARTITIONED RUNGE-KUTTA METHODS.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2011, v. 22, n. 12, p. 1343, doi. 10.1142/S0129183111016932

By:

MONOVASILIS, TH.;
KALOGIRATOU, Z.;
SIMOS, T. E.

Publication type:

Article

A NEW METHODOLOGY FOR THE CONSTRUCTION OF OPTIMIZED RUNGE-KUTTA-NYSTRÖM METHODS.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2011, v. 22, n. 6, p. 623, doi. 10.1142/S012918311101649X

By:

PAPADOPOULOS, D. F.;
SIMOS, T. E.

Publication type:

Article

A NEW SYMMETRIC EIGHT-STEP PREDICTOR-CORRECTOR METHOD FOR THE NUMERICAL SOLUTION OF THE RADIAL SCHRÖDINGER EQUATION AND RELATED ORBITAL PROBLEMS.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2011, v. 22, n. 2, p. 133, doi. 10.1142/S0129183111016154

By:

PANOPOULOS, G. A.;
ANASTASSI, Z. A.;
SIMOS, T. E.

Publication type:

Article

STABILIZATION OF A FOUR-STEP EXPONENTIALLY-FITTED METHOD AND ITS APPLICATION TO THE SCHRÖDINGER EQUATION.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2007, v. 18, n. 3, p. 315, doi. 10.1142/S0129183107009261

By:

SIMOS, T. E.

Publication type:

Article

SPECIAL OPTIMIZED RUNGE–KUTTA METHODS FOR IVPs WITH OSCILLATING SOLUTIONS.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2004, v. 15, n. 1, p. 1, doi. 10.1142/S0129183104006510

By:

Anastassi, Z. A.;
Simos, T. E.

Publication type:

Article

CLOSED NEWTON–COTES TRIGONOMETRICALLY-FITTED FORMULAE FOR LONG-TIME INTEGRATION.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2003, v. 14, n. 8, p. 1061, doi. 10.1142/S0129183103005248

By:

Simos, T. E.

Publication type:

Article

Exponentially and Trigonometrically Fitted Explicit Advanced Step-Point (EAS) Methods for Initial Value Problems with Oscillating Solutions.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2003, v. 14, n. 2, p. 175, doi. 10.1142/S0129183103004334

By:

Psihoyios, G.;
Simos, T. E.

Publication type:

Article

Dissipative Trigonometrically-Fitted Methods for Second Order IVPs with Oscillating Solution.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2002, v. 13, n. 10, p. 1333, doi. 10.1142/S0129183102003954

By:

Simos, T. E.

Publication type:

Article

On the Construction of Efficient Methods for Second Order IVPs with Oscillating Solution.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2001, v. 12, n. 10, p. 1453, doi. 10.1142/S0129183101002826

By:

Simos, T. E.;
Aguiar, Jesus Vigo

Publication type:

Article

A Symmetric High Order Method with Minimal Phase-Lag for the Numerical Solution of the Schrödinger Equation.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2001, v. 12, n. 7, p. 1035, doi. 10.1142/S0129183101002292

By:

Simos, T. E.;
Aguiar, Jesus Vigo

Publication type:

Article

An Adapted Symplectic Integrator for Hamiltonian Problems.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2001, v. 12, n. 2, p. 225, doi. 10.1142/S0129183101001626

By:

Vigo-Aguiar, Jesús;
Simos, T. E.;
Tocino, A.

Publication type:

Article

An Embedded Runge–Kutta Method with Phase-Lag of Order Infinity for the Numerical Solution of the Schrödinger Equation.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2000, v. 11, n. 6, p. 1115, doi. 10.1142/S0129183100000973

By:

Simos, T. E.

Publication type:

Article

A New Modified Runge–Kutta–Nyström Method with Phase-Lag of Order Infinity for the Numerical Solution of the Schrödinger Equation and Related Problems.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2000, v. 11, n. 6, p. 1195, doi. 10.1142/S0129183100001036

By:

Simos, T. E.;
Aguiar, Jesus Vigo

Publication type:

Article

Exponentially Fitted Runge–Kutta Fourth Algebraic Order Methods for the Numerical Solution of the Schrödinger Equation and Related Problems.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2000, v. 11, n. 4, p. 785, doi. 10.1142/S0129183100000687

By:

Williams, P. S.;
Simos, T. E.

Publication type:

Article

A Family of Hybrid Eighth Order Methods with Minimal Phase-Lag for the Numerical Solution of the Schrödinger Equation and Related Problems.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2000, v. 11, n. 2, p. 415, doi. 10.1142/S0129183100000365

By:

Avdelas, G.;
Konguetsof, A.;
Simos, T. E.

Publication type:

Article

Simple and Accurate Explicit Bessel and Neumann Fitted Methods for the Numerical Solution of the Schrödinger Equation.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2000, v. 11, n. 1, p. 79, doi. 10.1142/S0129183100000080

By:

Simos, T. E.

Publication type:

Article

EXPONENTIALLY-FITTED RUNGE-KUTTA THIRD ALGEBRAIC ORDER METHODS FOR THE NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION AND RELATED PROBLEMS.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 1999, v. 10, n. 5, p. 839, doi. 10.1142/S0129183199000656

By:

SIMOS, T. E.;
WILLIAMS, P. S.

Publication type:

Article

High Algebraic Order Methods with Minimal Phase-Lag for Accurate Solution of the Schrödinger Equation.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 1998, v. 9, n. 7, p. 1055, doi. 10.1142/S0129183198000996

By:

Simos, T. E.

Publication type:

Article

An Eighth Order Exponentially Fitted Method for the Numerical Solution of the Schrödinger Equation.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 1998, v. 9, n. 2, p. 271, doi. 10.1142/S0129183198000200

By:

Simos, T. E.

Publication type:

Article

AN EIGHTH-ORDER METHOD WITH MINIMAL PHASE-LAG FOR ACCURATE COMPUTATIONS FOR THE ELASTIC SCATTERING PHASE-SHIFT PROBLEM.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 1996, v. 7, n. 6, p. 825, doi. 10.1142/S0129183196000685

By:

SIMOS, T. E.

Publication type:

Article

A NEW NUMEROV-TYPE METHOD FOR COMPUTING EIGENVALUES AND RESONANCES OF THE RADIAL SCHRÖDINGER EQUATION.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 1996, v. 7, n. 1, p. 33, doi. 10.1142/S0129183196000041

By:

SIMOS, T. E.

Publication type:

Article

Explicit, Eighth-Order, Four-Step Methods for Solving y″=f(x,y).

Published in:

Bulletin of the Malaysian Mathematical Sciences Society, 2020, v. 43, n. 5, p. 3791, doi. 10.1007/s40840-019-00879-6

By:

Medvedev, Maxim A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

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

Published in:

Bulletin of the Malaysian Mathematical Sciences Society, 2019, v. 42, n. 5, p. 2119, doi. 10.1007/s40840-019-00775-z

By:

Liu, Chenglian;
Hsu, Chieh-Wen;
Tsitouras, Ch.;
Simos, T. E.

Publication type:

Article

Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag.

Published in:

Journal of Applied Mathematics, 2012, p. 1, doi. 10.1155/2012/420387

By:

Simos, T. E.

Publication type:

Article

A neural network training algorithm for singular perturbation boundary value problems.

Published in:

Neural Computing & Applications, 2022, v. 34, n. 1, p. 607, doi. 10.1007/s00521-021-06364-1

By:

Simos, T. E.;
Famelis, Ioannis Th.

Publication type:

Article

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

Published in:

Neural Computing & Applications, 2021, v. 33, n. 16, p. 10227, doi. 10.1007/s00521-021-05787-0

By:

Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article