Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing
Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing
Multistep scattered data interpolation using compactly supported radial basis functions
Journal of Computational and Applied Mathematics - Special issue on scattered data
SIAM Journal on Scientific Computing
NeuroAnimator: fast neural network emulation and control of physics-based models
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Neural Networks: A Comprehensive Foundation
Neural Networks: A Comprehensive Foundation
Interpolation of Lipschitz functions
Journal of Computational and Applied Mathematics
Computers & Mathematics with Applications
Artificial neural networks for solving ordinary and partial differential equations
IEEE Transactions on Neural Networks
Finite-element neural networks for solving differential equations
IEEE Transactions on Neural Networks
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The capability to solve ordinary differential equations (ODE) in hardware will increase the operation capacity of sensing systems in areas such as self-diagnostics, model-based measurement and self-calibration. The computational complexity of solving ODE must be reduced in order to implement a real-time embedded ODE solver. The research proposes a novel design that proves the possibility of solving ODE in real-time embedded systems with reasonably high degree of precision and efficiency. The application of three approximation methods namely, multi-layer perceptron, radial basis network and Lipschitz continuous interpolation is researched and compared.