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Application of Artificial Intelligence in Mathematical Modeling and Numerical Investigation of Transport Processes in Electromembrane Systems. [PDF]
Membranes (Basel)Kazakovtseva E +3 more
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2016
In this chapter we derive numerical methods to solve the first-order differential equation $$\displaystyle{ \frac{dy} {dt} = f(t,y),\;\;\text{ for }\;0
Richard Khoury, Douglas Wilhelm Harder
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In this chapter we derive numerical methods to solve the first-order differential equation $$\displaystyle{ \frac{dy} {dt} = f(t,y),\;\;\text{ for }\;0
Richard Khoury, Douglas Wilhelm Harder
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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,
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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,
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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
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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
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2014
This chapter discusses the basic problems for solutions of initial value problems: existence and uniqueness, continuation, and dependence on parameters and initial conditions.
S.P. Venkateshan, Prasanna Swaminathan
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This chapter discusses the basic problems for solutions of initial value problems: existence and uniqueness, continuation, and dependence on parameters and initial conditions.
S.P. Venkateshan, Prasanna Swaminathan
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1997
We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. This problem is relatively easy to treat, illustrates important methods, and in the end will carry us a good deal further than may first meet the eye. Thus, we seek solutions to $$ \left\{ {\begin{array}{*{20}{c}}{y' =
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We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. This problem is relatively easy to treat, illustrates important methods, and in the end will carry us a good deal further than may first meet the eye. Thus, we seek solutions to $$ \left\{ {\begin{array}{*{20}{c}}{y' =
openaire +2 more sources