We propose a computationally efficient and systematically convergent approach for
elastodynamics simulations. We recast the second-order dynamical equation of …

The overarching goal of this thesis is to develop new numerical time integration schemes for
Lagrangian mechanics that better cope with the challenges of understanding the dynamic …

Position based dynamics is a powerful technique for simulating a variety of materials. Its
primary strength is its robustness when run with limited computational budget. We develop a …

We propose a new explicit pseudo-energy and momentum conserving scheme for the time
integration of Hamiltonian systems. The scheme, which is formally second-order accurate, is …

We propose a time-adaptive predictor/multi-corrector method to solve hyperbolic partial
differential equations, based on the generalized-α scheme that provides user-control on the …

We propose a new method for physics-based simulation supporting many different types of
hyperelastic materials from mass-spring systems to three-dimensional finite element models …

We present a new method for real-time physics-based simulation supporting many different
types of hyperelastic materials. Previous methods such as Position Based or Projective …

In this paper, we suggest a very simple and effective post-processing procedure to increase
the order of accuracy in time for numerical results obtained by the trapezoidal rule. We first …

This thesis develops the theory and implementation of variational integrators for
computational solid mechanics problems, and to some extent, for fluid mechanics problems …

This paper presents energy–momentum consistent time-stepping schemes for classical
nonlinear thermo-elastodynamics, which include well-known energy–momentum conserving …