Efficient computation of Jacobian matrices for entropy stable summation-by-parts schemesHigh orderEntropy stableDiscontinuous GalerkinJacobian matrixImplicit time-steppingDISCONTINUOUS GALERKIN SCHEMESNAVIER-STOKES EQUATIONSSHALLOW-WATER EQUATIONSCOMPRESSIBLE EULERCONSERVATION-LAWS...
Our implementation is based on projecting the nonlinear problem into a sequence of nested subspaces, referred to as Generalized Krylov Subspaces, whose dimension increases with the number of iterations, except for when restarts are carried out. When the computation of the Jacobian matrix is expensive...
In contrast, the previous CSP methods involve expensive eigen-computation and are typically expensive for large-scale combustion simulations.S. H. LamDepartment of Mechanical and Aerospace EngineeringCombustion Science and TechnologyLam, S.H., "An Efficient Implementation of Computational Singular ...
Also, with a Python frontend, JAX-CPFEM offers a user-friendly experience for users and developers, enabling the efficient handling of large-scale complex problems. Second, accurate and efficient sensitivity computation (gradient of the objective function to design parameters), essential for gradient-...
2016-NIPS-Learning the Number of Neurons in Deep Neural Networks 2016-NIPS-Memory-Efficient Backpropagation Through Time 2016-NIPS-PerforatedCNNs: Acceleration through Elimination of Redundant Convolutions 2016-NIPS-LightRNN: Memory and Computation-Efficient Recurrent Neural Networks 2016-NIPS-CNNpack: pac...
library that contains some essential rigid body dynamics algorithms such as the Articulated Body Algorithm (ABA) for forward dynamics, Recursive Newton-Euler Algorithm (RNEA) for inverse dynamics and the Composite Rigid Body Algorithm (CRBA) for the efficient computation of the joint space inertia ...
Many kinematic algorithms for efficient computation have been reported for mechanisms of general structure, either serial manipulators [7], or parallel manipulators [8], [9], or their control [10]. On the other hand, inherent high computational efficiency can bring more benefits to kinematics, ...
1. Schematic representation of spin-up phase. sensitivity might be interesting per se, or it might be a part of an extended sensitivity computation of other quantities that depend on the equilibrium state through a transient integration (see Fig. 1). Spin-ups are also carried out in fields ...
Such an addition chain is only allowed to include the computation of the sum if the difference has already been computed at a previous stage. Three-dimensional differential addition chains have been studied previously by Rao [44] and more generally by Hutchinson and Karabina [33]. However, both...
For the goal-oriented global error approximations Edi(yh) and Elte(yh) of Section 4 we have to consider the computation of the discrete adjoints and either the quadrature of the defects or the estimation of the local truncation errors. Moreover, the residuals of the nonlinear BDF equations ...