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When a numerical solution is needed for a Partial Differential Equation
there may be a need for a specific accuracy or a need for minimum
use of computer time.
Step size, typically h, smaller typically gives better accuracy and
requires more computer CPU time.
Method, can depend on the specific PDE and number of solution points
for both accuracy and computer time
Methods
nderiv.out accutacy vs discrete points
Case study second order discrete with variations
pde22_s2_eq.c source code
pde22_s2_eq_c.out printed solution
pde22_s2_eq_c.dat solution data
pde22_s2_eq_c.sh command for plotting
pde22_s2_eq_c.plot plot instructions
pde22_s2_eq_c.png plot results
Case study second order java and python same PDE
pde23a_eq.java source code
pde23a_eq_java.out printed solution
pde23.py source code
pde23_py.out printed solution
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CMSC 455 home page
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Syllabus - class dates and subjects, homework dates, reading assignments
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Homework assignments - the details
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Projects -
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Partial Lecture Notes, one per WEB page
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Partial Lecture Notes, one big page for printing
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Downloadable samples, source and executables
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Some brief notes on Matlab
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Some brief notes on Python
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Some brief notes on Fortran 95
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Some brief notes on Ada 95
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An Ada math library (gnatmath95)
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Finite difference approximations for derivatives
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MATLAB examples, some ODE, some PDE
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parallel threads examples
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Reference pages on Taylor series, identities,
coordinate systems, differential operators
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selected news related to numerical computation