ordinary differential equations and dynamical systems - g teschl
ordinary differential equations and dynamical systems - g. teschl
... − H, N(0) = N
0
.
Make a scaling
x(τ) =
N(t)
N
max
, τ = κt
Ordinary differential equations
and
Dynamical Systems
Gerald Teschl
1.4. Finding explicit solutions 11
and show that the equation transforms ... solution only exist for finite time.
Combining the solutions for different initial conditions into one plot we
get the following picture:
-4
-3
-2
-1 1
2
3
4
-3
-...
Tài liệu Integration of Ordinary Differential Equations part 1 doc
... Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 )
Copyright (C) 198 8-1 992 by Cambridge University Press.Programs Copyright (C) 198 8-1 992 by Numerical ... algebraic conditions
707
708
Chapter 16. Integration of Ordinary Differential Equations
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5...
Tài liệu Integration of Ordinary Differential Equations part 2 pptx
... 710
Chapter 16. Integration of Ordinary Differential Equations
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 )
Copyright (C) 198 8-1 992 by Cambridge University ... the
712
Chapter 16. Integration of Ordinary Differential Equations
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4...
Tài liệu Integration of Ordinary Differential Equations part 3 doc
... Runge-Kutta
715
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 )
Copyright (C) 198 8-1 992 by Cambridge University Press.Programs Copyright (C) 198 8-1 992 ... Runge-Kutta
717
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 )
Copyright (C) 198 8-1 992 by Cambridge University P...
Tài liệu Integration of Ordinary Differential Equations part 4 ppt
... 722
Chapter 16. Integration of Ordinary Differential Equations
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 )
Copyright (C) 198 8-1 992 by Cambridge University ... Method
723
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 )
Copyright (C) 198 8-1 992 by Cambridge Universi...
Tài liệu Integration of Ordinary Differential Equations part 5 pdf
... 724
Chapter 16. Integration of Ordinary Differential Equations
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 )
Copyright (C) 198 8-1 992 by Cambridge University ... +1) >α(k,q).
728
Chapter 16. Integration of Ordinary Differential Equations
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN...
Tài liệu Integration of Ordinary Differential Equations part 6 pdf
... 732
Chapter 16. Integration of Ordinary Differential Equations
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 )
Copyright (C) 198 8-1 992 by Cambridge University ... Equations
733
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 )
Copyright (C) 198 8-1 992 by Cambridge Uni...
Tài liệu Integration of Ordinary Differential Equations part 7 pptx
... (i=1;i<=n;i++) Set up right-hand side for g
3
.
g3 [i]=dydx[i]+h*C3X*dfdx[i]+(C31 *g1 [i]+C32 *g2 [i])/h;
lubksb(a,n,indx ,g3 ); Solve for g
3
.
for (i=1;i<=n;i++) Set up right-hand side for g
4
.
g4 [i]=dydx[i]+h*C4X*dfdx[i]+(C41 *g1 [i]+C42 *g2 [i]+C43 *g3 [i])/h;
lubksb(a,n,indx ,g4 ); ... Equations
743
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTIN...
Tài liệu Integration of Ordinary Differential Equations part 8 pdf
... Multivalue, and Predictor-Corrector Methods
747
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 )
Copyright (C) 198 8-1 992 by Cambridge University Press.Programs ... SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 )
Copyright (C) 198 8-1 992 by Cambridge University Press.Programs Copyright (C) 198 8-1 992 by Numerical Recipe...
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