A review of the decomposition method in applied mathematics

Nonlinear Stochastic Operator Equations

1986 • 520 citations

Nonlinear Stochastic Operator Equations

1986 • 442 citations

A convenient computational form for the Adomian polynomials

1984 • 184 citations

Convergent series solution of nonlinear equations

1984 • 130 citations

Nonlinear Equations in Abstract Spaces

1978 • 113 citations

The score function approach for sensitivity analysis of computer simulation models

1986 • 95 citations

Applied Stochastic Processes

1980 • 75 citations

Stochastic Processes in Mathematical Physics and Engineering

1964 • 72 citations

Nonlinear stochastic differential delay equations

1983 • 66 citations

Nonlinear Stochastic Systems in Physics and Mechanics

1987 • 61 citations

Information Linkage Between Applied Mathematics and Industry

1980 • 57 citations

A comparison between Adomian's decomposition methods and perturbation techniques for nonlinear random differential equations

1985 • 55 citations

Linear Stochastic Operators

1963 • 44 citations

On composite nonlinearities and the decomposition method

1986 • 43 citations

On Adomian's decomposition method and some comparisons with Picard's iterative scheme

1987 • 33 citations

Polynomial nonlinearities in differential equations

1985 • 33 citations

On the convergence region for decomposition solutions

1984 • 28 citations

STOCHASTIC SYSTEMS ANALYSIS**Support of the Sloan Foundation is gratefully acknowledged.

1980 • 26 citations

ALGEBRAIC COMPUTATION AND THE DECOMPOSITION METHOD

1986 • 25 citations

Complex and Distributed Systems: Analysis, Simulation and Control

1985 • 24 citations

On the solution of equations containing radicals by the decomposition method

1985 • 21 citations

Linear stochastic operators

1963 • 21 citations

Coupled differential equations and coupled boundary conditions

1985 • 18 citations

Solutions of nonlinear boundary value problems by the decomposition method

1986 • 17 citations

Algebraic equations with exponential terms

1985 • 17 citations

The decomposition method for nonlinear dynamical systems

1986 • 17 citations

Nonlinear differential equations with negative power nonlinearities

1985 • 16 citations

Coupled nonlinear stochastic differential equations

1983 • 16 citations

Solving nonlinear differential equations with decimal power nonlinearities

1986 • 15 citations

On the control of stochastic systems

1981 • 15 citations

Mathematical Models in Medicine: Diseases and Epidemics

1987 • 14 citations

Nonlinear stochastic dynamical systems in physical problems

1985 • 13 citations

Analysis of stochastic Van der Pol oscillators using the decomposition method

1986 • 13 citations

The stochastic Riccati equation

1980 • 13 citations

On a class of nonlinear dynamical systems: The structure of a differential operator in the application of the decomposition method

1987 • 12 citations

Semilinear stochastic systems: Analysis with the method of the stochastic Green's function and application in mechanics

1983 • 12 citations

Decomposition solution for Duffing and Van der Pol oscillators

1986 • 12 citations

On a class of nonlinear stochastic dynamical systems: Analysis of the transient behaviour

1987 • 12 citations

Application of the decomposition method to inversion of matrices

1985 • 11 citations

Nonlinear plasma response

1985 • 10 citations

NEW RESULTS IN STOCHASTIC EQUATIONS - THE NONLINEAR CASE

1978 • 9 citations

Theory of random systems

1969 • 9 citations

STOCHASTIC OPERATORS AND DYNAMICAL SYSTEMS

1979 • 8 citations

Solution of the Marchuk model of infectious disease and immune response

1986 • 8 citations

On the Tricomi problem

1986 • 7 citations

A new approach to the Efinger model for a nonlinear quantum theory for gravitating particles

1987 • 7 citations

Vibration in offshore structures — part II

1987 • 6 citations

Transient behaviour of semilinear stochastic systems with random parameters

1984 • 6 citations

On the solutions of stochastic initial-value problems in continuum mechanics

1985 • 5 citations

On Green's function in higher order stochastic differential equations

1982 • 5 citations

GENERATION OF A STOCHASTIC PROCESS WITH DESIRED FIRST‐ AND SECOND‐ORDER STATISTICS

1981 • 5 citations

A new computational approach for inversion of very large matrices

1986 • 5 citations

On the continuous approximation of the probability density and of the entropy functions for nonlinear stochastic dynamical systems

1987 • 4 citations

Stochastic model for colored noise

1982 • 4 citations

An application of the decomposition method to the matrix Riccati equation in a neutron transport process

1988 • 4 citations

Application of decomposition to convection-diffusion equations

1988 • 3 citations

Stochastic response of structures with small geometric imperfections

1987 • 2 citations