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Mediterranean Journal of Mathematics, ISSN 1660-5446, 08/2016, Volume 13, Issue 4, pp. 2271 - 2285
In this work, we give the general framework for constructing trigonometrically fitted symplectic Runge-Kutta-Nystrom (RKN) methods from symplectic... 
65L05 | Runge-Kutta-Nystrom methods | MATHEMATICS | Hamiltonian systems | MATHEMATICS, APPLIED | FREQUENCY EVALUATION | Partitioned Runge-Kutta methods | ODES | NUMERICAL-INTEGRATION | symplectic methods | trigonometrical fitting | OSCILLATING SOLUTIONS | INITIAL-VALUE PROBLEMS | Computer science | International trade | Methods | Resveratrol
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 07/2014, Volume 83, Issue 288, pp. 1689 - 1700
No Runge-Kutta method can be energy preserving for all Hamiltonian systems. But for problems in which the Hamiltonian is a polynomial, the averaged vector... 
Polynomial Hamiltonian systems | Energy preservation | Runge-Kutta methods | MATHEMATICS, APPLIED | polynomial Hamiltonian systems | SERIES | INTEGRATORS
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 03/2015, Volume 20, Issue 3, pp. 650 - 667
Journal Article
Computers and Fluids, ISSN 0045-7930, 11/2014, Volume 103, pp. 6 - 17
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 61, Issue 11, pp. 3381 - 3390
An explicit optimized Runge–Kutta–Nyström method with four stages and fifth algebraic order is developed. The produced method has variable coefficients with... 
Runge–Kutta–Nyström methods | Initial value problems | Phase-lag | Numerical solution | Explicit methods | Amplification factor | RungeKuttaNystrm methods | Runge-Kutta-Nystrom methods | MATHEMATICS, APPLIED
Journal Article
Computer Physics Communications, ISSN 0010-4655, 12/2014, Volume 185, Issue 12, pp. 3151 - 3155
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 2009, Volume 228, Issue 4, pp. 1056 - 1070
Journal Article
International Journal of Heat and Mass Transfer, ISSN 0017-9310, 09/2017, Volume 112, p. 289
A combined method is developed for solving 2D steady incompressible flow and heat transfer by spectral collocation method (SCM) and artificial compressibility... 
Compressibility | Partial differential equations | Fluid flow | Spectra | Two dimensional flow | Cavity flow | Convection | Convergence | Incompressible flow | Accuracy | Discretization | Mathematical analysis | Collocation methods | Chebyshev approximation | Flow velocity | Runge-Kutta method | Heat transfer
Journal Article
Applied Mathematics and Information Sciences, ISSN 1935-0090, 2013, Volume 7, Issue 2, pp. 433 - 437
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 04/2019, Volume 42, Issue 6, pp. 2025 - 2032
A four‐step method of seventh algebraic order is presented. It is tuned for addressing the special second order initial value problem. The new method is... 
variable coefficients | hybrid methods | PREDICTOR-CORRECTOR METHOD | MATHEMATICS, APPLIED | NUMEROV-TYPE METHODS | SCHRODINGER-EQUATION | NUMERICAL-SOLUTION | LAG-ORDER | MULTISTEP METHODS | EFFICIENT INTEGRATION | SYMBOLIC DERIVATION | RUNGE-KUTTA PAIRS | P-STABLE METHOD | Boundary value problems
Journal Article
Geophysics, ISSN 0016-8033, 11/2018, Volume 83, Issue 6, pp. T301 - T311
The absorbing boundary condition plays an important role in seismic wave modeling. The perfectly matched layer (PML) boundary condition has been established as... 
Finite difference | Boundary conditions | Elastic | Time-domain | NUMERICAL DISPERSION | GEOCHEMISTRY & GEOPHYSICS | FIELD | MEDIA | TIME | FORMULATION | ABSORBING BOUNDARY-CONDITIONS | PML | PROPAGATION | RUNGE-KUTTA METHOD | ELASTIC-WAVES
Journal Article