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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
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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Ordinary Differential Equations
1998Let f be a C 1 vector field on an open set U in E . If f(x o ) = 0 for some x o ∈U, if a: J →U is an integral curve for f, and there exists some to ∈J such that α(t o ) = x o , show that α(t) = x o for all t∈J. (A point x o such that f(x 0 )= 0 is called a critical point of the vector field.)
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Ordinary Differential Equations
1989The major purpose of the present chapter is to demonstrate the use of the volume integral method in deriving accurate, stable, and physically realistic difference equations from ordinary differential equations. A secondary purpose is to develop the proper ideas and procedures for later use in deriving difference equations from partial differential ...
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Differential Privacy Techniques for Cyber Physical Systems: A Survey
IEEE Communications Surveys and Tutorials, 2020Jinjun Chen +2 more
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Hypercalcemia and cancer: Differential diagnosis and treatment
Ca-A Cancer Journal for Clinicians, 2018Sarah B Fisher, Nancy D Perrier
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Ordinary Differential Equations.
The American Mathematical Monthly, 1952J. E. Powell +5 more
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limma powers differential expression analyses for RNA-sequencing and microarray studies
Nucleic Acids Research, 2015Matthew E Ritchie +2 more
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