Combines power of torch, numerical methods to conquer and solve ALL {O,P}DEs

Overview

torch_DE_solver

Combines power of torch, numerical methods and math overall to conquer and solve ALL {O,P}DEs

There are three examples to provide a little insight to an operator form

  • example_wave.py - Wave equation
  • example_KdV.py - Korteweg- de Vries equation
  • example_ODE.py - Legendre polynomial generator equation
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Comments
  • Examples revisiting

    Examples revisiting

    После конфига нужно будет пройтись по всем примерам - они сделаны неоднородно и без конфига. Старые примеры уберём в Examples\old - они (пока что) должны работать (в отличии от нас), но поддерживать их больше не будем. Всё переписываем под конфиги.

    opened by SuperSashka 1
  • Weak_form for O/P differential equation/sytem.

    Weak_form for O/P differential equation/sytem.

    1. Method weak_loss is added in Solution class.
    2. New examples with weak form are created.
    3. Solution print is fixed for system
    4. weak_form parameter is added in Solver class for weak loss eval-n
    opened by aminevdom 0
  • System solution

    System solution

    SOD problem is solved by point_sort_shift solver and nn_autograd_optimizer.

    1. Input_preprocessing file: operator_prepare is changed, it determines what type of problem we have (1eqn or system)
    2. Solver file: print_solution_autograd is added as ordinary print_solution doesn't work with autograd solver. Plotting 3 graphs is added in print solution function (irrationally).
    3. Cache: variables number determination is changed for system term
    4. Metrics: point_sort_shift_loss is changed for system term and autograd method is fixed for system term too
    opened by aminevdom 0
  • Autograd + expamles revisiting

    Autograd + expamles revisiting

    I add the torch.autograd functional, such that the pytorch models are differentiated with AD. Also all examples are updated and should be working using any IDE.

    opened by SuperSashka 0
Releases(v.0.0.1)
Owner
Natural Systems Simulation Lab
Natural Systems Simulation Lab in ITMO University
Natural Systems Simulation Lab
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