4385132063

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Merge pull request #316 from jecisc/divers-cleanings

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/src/Math-ODE/PMSymplecticSystem.class.st

"
Description

This concept describes how to define a symplectic system written with generalized coordinate q and generalized momentum p:

q'(t) = f(p)

p'(t) = g(q)

Such a situation is typically found for Hamiltonian systems with a separable Hamiltonian:

H(p,q) = Hkin(p) + V(q)

which gives the equations of motion:

q'(t) = dHkin / dp = f(p)

p'(t) = dV / dq = g(q)

The algorithmic implementation of this situation is described by a pair of callable objects for f and g with a specific parameter signature. Such a system should be implemented as a std::pair of functions or a functors. Symplectic systems are used in symplectic steppers like symplectic_rkn_sb3a_mclachlan. 
"
Class {
        #name : #PMSymplecticSystem,
        #superclass : #PMODESystem,
        #instVars : [
                'dqdt',
                'firstBlock',
                'dpdt',
                'secondBlock'
        ],
        #category : #'Math-ODE'
}

{ #category : #accessing }
PMSymplecticSystem >> dpdt [
        ^ dpdt
]

{ #category : #accessing }
PMSymplecticSystem >> dpdt: anObject [
        dpdt := anObject
]

{ #category : #accessing }
PMSymplecticSystem >> dqdt [
        ^ dqdt
]

{ #category : #accessing }
PMSymplecticSystem >> dqdt: anObject [
        dqdt := anObject
]

{ #category : #evaluation }
PMSymplecticSystem >> first: pState [
        dqdt := firstBlock value: pState.
        ^ dqdt
]

{ #category : #accessing }
PMSymplecticSystem >> firstBlock [
        ^ firstBlock
]

{ #category : #accessing }
PMSymplecticSystem >> firstBlock: anObject [
        firstBlock := anObject
]

{ #category : #evaluation }
PMSymplecticSystem >> second: qState [
        dpdt := secondBlock value: qState.
        ^ dpdt
]

{ #category : #accessing }
PMSymplecticSystem >> secondBlock [
        ^ secondBlock
]

{ #category : #accessing }
PMSymplecticSystem >> secondBlock: anObject [
        secondBlock := anObject
]

1	"
2	Description
3
4	This concept describes how to define a symplectic system written with generalized coordinate q and generalized momentum p:
5
6	q'(t) = f(p)
7
8	p'(t) = g(q)
9
10	Such a situation is typically found for Hamiltonian systems with a separable Hamiltonian:
11
12	H(p,q) = Hkin(p) + V(q)
13
14	which gives the equations of motion:
15
16	q'(t) = dHkin / dp = f(p)
17
18	p'(t) = dV / dq = g(q)
19
20	The algorithmic implementation of this situation is described by a pair of callable objects for f and g with a specific parameter signature. Such a system should be implemented as a std::pair of functions or a functors. Symplectic systems are used in symplectic steppers like symplectic_rkn_sb3a_mclachlan.
21	"
22	Class {
23	#name : #PMSymplecticSystem,
24	#superclass : #PMODESystem,
25	#instVars : [
26	'dqdt',
27	'firstBlock',
28	'dpdt',
29	'secondBlock'
30	],
31	#category : #'Math-ODE'
32	}
33
34	{ #category : #accessing }
35	PMSymplecticSystem >> dpdt [	×
36	^ dpdt	×
37	]	×
38
39	{ #category : #accessing }
40	PMSymplecticSystem >> dpdt: anObject [	×
41	dpdt := anObject	×
42	]	×
43
44	{ #category : #accessing }
45	PMSymplecticSystem >> dqdt [	×
46	^ dqdt	×
47	]	×
48
49	{ #category : #accessing }
50	PMSymplecticSystem >> dqdt: anObject [	×
51	dqdt := anObject	×
52	]	×
53
54	{ #category : #evaluation }
55	PMSymplecticSystem >> first: pState [	×
56	dqdt := firstBlock value: pState.	×
57	^ dqdt	×
58	]	×
59
60	{ #category : #accessing }
61	PMSymplecticSystem >> firstBlock [	×
62	^ firstBlock	×
63	]	×
64
65	{ #category : #accessing }
66	PMSymplecticSystem >> firstBlock: anObject [	×
67	firstBlock := anObject	×
68	]	×
69
70	{ #category : #evaluation }
71	PMSymplecticSystem >> second: qState [	×
72	dpdt := secondBlock value: qState.	×
73	^ dpdt	×
74	]	×
75
76	{ #category : #accessing }
77	PMSymplecticSystem >> secondBlock [	×
78	^ secondBlock	×
79	]	×
80
81	{ #category : #accessing }
82	PMSymplecticSystem >> secondBlock: anObject [	×
83	secondBlock := anObject	×
84	]	×

PolyMathOrg / PolyMath / 4385132063

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