Results 191 to 200 of about 1,609,595 (239)

Linear Differential Equations

1966
Publisher Summary This chapter focuses on higher-order linear equations. Even for second-order linear equations, no general method of solution is available as there was for first-order equations. Formulas for general solutions can be found for certain special classes of higher-order equations.
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Differential equations II

2011
This chapter introduces numerical methods that can be used on problems that are too hard to solve by standard algebra, such as finding roots of complicated equations. It demonstrates numerical methods for solving a first-order ordinary differential equations (ODE) with an initial condition.
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Stochastic differential equations

Physics Reports, 1976
Abstract In chapter I stochastic differential equations are defined and classified, and their occurrence in physics is reviewed. In chapter II it is shown for linear equation show a differential equation for the averaged solution is obtained by expanding in ατ c , where α measures the size of the fluctuations and τ c their autocorrelation time. This
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Ordinary Differential Equations

2012
In this chapter we provide an overview of the basic theory of ordinary differential equations (ODE). We give the basics of analytical methods for their solutions and also review numerical methods. The chapter should serve as a primer for the basic application of ODEs and systems of ODEs in practice.
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Magnetic Differential Equations

The Physics of Fluids, 1959
A necessary and sufficient condition is derived for a magnetic differential equation B·▿r = 0 to have a single-valued solution r, where B is the field of a magnetohydrostatic equilibrium state or, more generally, and field with a system of toroidal magnetic surfaces.
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Non-Autonomous Differential Equations

2003
1. Introduction 2. Basic Methods 3. Cantor Spectrum for Quasi-Periodic Schrodinger Operators 4. Almost Automorphy in Semilinear Parabolic PDEs 5.
JOHNSON, RUSSELL ALLAN, F. Mantellini
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Stochastic differential equations

2011
In this chapter we present some basic results on stochastic differential equations, hereafter shortened to SDEs, and we examine the connection to the theory of parabolic partial differential equations.
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Set differential equations versus fuzzy differential equations

Applied Mathematics and Computation, 2005
The paper is devoted to establish some results on existence, uniqueness and flow invariance for set differential equations, and their connection with fuzzy differential equations. Both types of differential equations are emergent research areas, so the background included in this paper will be appreciated for all people interested in the topic.
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Solving integral equations in free space with inverse-designed ultrathin optical metagratings

Nature Nanotechnology, 2023
Andrea Cordaro, Andrea Alu
exaly  

STIFF DIFFERENTIAL EQUATIONS

Annual Review of Biophysics and Bioengineering, 1977
D, Garfinkel, C B, Marbach, N Z, Shapiro
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