Coverage for pySDC/projects/parallelSDC_reloaded/jacobiElliptic_setup.py: 100%

1#!/usr/bin/env python3 

2# -*- coding: utf-8 -*- 

3""" 

4Created on Thu Dec 7 21:22:52 2023 

5 

6Setup script for the JacobianElliptic problem 

7""" 

8import numpy as np 

9import matplotlib.pyplot as plt 

10 

11from pySDC.projects.parallelSDC_reloaded.utils import solutionExact, getParamsRK, getParamsSDC, solutionSDC 

12 

13script = __file__.split('/')[-1].split('.')[0] 

14 

15tEnd = 10 

16nSteps = 100 

17 

18useRK = True 

19if useRK: 

20 rkScheme = "RK4" 

21 params = getParamsRK(rkScheme) 

22else: # pragma: no cover 

23 nNodes = 4 

24 nSweeps = 5 

25 quadType = 'RADAU-RIGHT' 

26 nodeType = 'LEGENDRE' 

27 qDelta = "MIN-SR-S" 

28 params = getParamsSDC(quadType, nNodes, qDelta, nSweeps, nodeType) 

29 

30pName = "JACELL" 

31periodic = False 

32pParams = {} 

33 

34tVals = np.linspace(0, tEnd, nSteps + 1) 

35 

36print("Computing ODE solution") 

37uExact = solutionExact(tEnd, nSteps, pName, **pParams) 

38 

39uNum, counters, _ = solutionSDC(tEnd, nSteps, params, pName, **pParams) 

40 

41figName = f"{script}_solution" 

42plt.figure(figName) 

43plt.plot(tVals, uExact[:, 0], '-', label="u1-exact") 

44plt.plot(tVals, uExact[:, 1], '-', label="u2-exact") 

45plt.plot(tVals, uExact[:, 2], '-', label="u3-exact") 

46plt.plot(tVals, uNum[:, 0], '--', label="u1-num") 

47plt.plot(tVals, uNum[:, 1], '--', label="u2-num") 

48plt.plot(tVals, uNum[:, 2], '--', label="u3-num") 

49 

50plt.legend() 

51plt.xlabel("time") 

52plt.ylabel("solution") 

53plt.tight_layout()