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A Novel Peak-Shape Aware Approach for Mass Alignment in Mass Spectrometry. [PDF]

open access: yesRapid Commun Mass Spectrom
Vanhemel T   +5 more
europepmc   +1 more source

Initial Value Problems

2016
In this chapter we derive numerical methods to solve the first-order differential equation $$\displaystyle{ \frac{dy} {dt} = f(t,y),\;\;\text{ for }\;0
Richard Khoury, Douglas Wilhelm Harder
openaire   +2 more sources

Initial value problems

2017
This chapter is devoted to initial values problems for ordinary differential equations. It discusses theory for existence, uniqueness and continuous dependence on the data of the problem. Special techniques for linear ordinary differential equations with constant coefficients are discussed in terms of matrix exponentials and their approximations. Next,
openaire   +2 more sources

Initial value problems

2012
In the previous chapter we derived a simple finite difference method, namely the explicit Euler method, and we indicated how this can be analysed so that we can make statements concerning its stability and order of accuracy. If Euler’s method is used with constant time step h then it is convergent with an error of order O(h) for all sufficiently smooth
Karline Soetaert   +2 more
openaire   +2 more sources

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