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Numerical solutions of the parabolic wave equation: An ordinary‐differential‐equation approach
, 1980General purpose, efficient numerical ordinary‐differential‐equation (ODE) methods, combined with the employment of a predictor–corrector procedure, are introduced for solving the underwater acoustic parabolic wave equation.
Ding Lee, J. Papadakis
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When Is an Ordinary Differential Equation Separable
, 1985(1985). When Is an Ordinary Differential Equation Separable? The American Mathematical Monthly: Vol. 92, No. 6, pp. 422-423.
David Scott
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Ordinary Differential Equations
1970The numerical treatment of ordinary differential equations is a field whose scope has broadened quite a bit over the last 50 years. In particular, a whole spectrum of different stability conditions has developed. Since this chapter is not the place to present all details, we concentrate on the most basic concept of stability.
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Ordinary Differential Equations
2000We shall speak of ordinary differential equation if an equation contains time-dependent (or more generally, scalar-dependent) variables as well as their derivatives with respect to time (or another scalar). Since we shall always consider ordinary differential equations in this book, we shall drop the adjective ordinary. We shall see the deep similarity
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Applications to Ordinary Differential Equations
1971Publisher Summary The theories of ordinary and partial differential equations are the fruitful sources of integral equations. In the quest for the representation formula for the solution of a linear differential equation in such a manner so as to include the boundary condition or initial condition explicitly, one is always led to an integral equation.
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Ordinary Differential Equations
2019The concept of first integrals of ODEs is introduced. Application is made to Newton’s second law of motion in one dimension.
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Ordinary Differential Equations.
The American Mathematical Monthly, 1963J. C. Burkill+2 more
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Ordinary Differential Equations
1996We begin with a general form of the problem that will occupy our attention throughout most of Chapter I. Consider the linear two-point boundary value problem $$ Lu: = - \varepsilon u'' + b\left( x \right)u' + c\left( x \right)u = f\left( x \right)\quad for\quad x \in \left( {d,e} \right), $$ with the boundary conditions $$ \begin{gathered} {\
Lutz Tobiska+2 more
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Solving Ordinary Differential Equations
1999Contribution à un ouvrage.
Postel, Frank, Zimmermann, Paul
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Ordinary Differential Equation Models for Adoptive Immunotherapy
Bulletin of Mathematical Biology, 2018Anne M. Talkington+2 more
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