High-order implicit time integration scheme based on Padé expansions

An octree pattern-based massively parallel PCG solver for elasto-static and dynamic problems ⋮ An enhanced explicit-implicit time-marching formulation based on fully-adaptive time-integration parameters ⋮ Dahlquist's barriers and much beyond ⋮ High-order composite implicit time integration schemes based on rational approximations for elastodynamics ⋮ On the numerical properties of high‐order spectral (Euler‐Bernoulli) beam elements

Matlab

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Stress analysis of 3D complex geometries using the scaled boundary polyhedral finite elements
Comparison of different higher order finite element schemes for the simulation of Lamb waves
Isogeometric analysis of structural vibrations
A new high-order accurate continuous Galerkin method for linear elastodynamics problems
A parallel block cyclic reduction algorithm for the fast solution of elliptic equations
A simple and effective new family of time marching procedures for dynamics
Isogeometric analysis for explicit elastodynamics using a dual-basis diagonal mass formulation
Critical assessment of different mass lumping schemes for higher order serendipity finite elements
Mass lumping techniques in the spectral element method: on the equivalence of the row-sum, nodal quadrature, and diagonal scaling methods
An adaptive semi-explicit/explicit time marching technique for nonlinear dynamics
On mass lumping and explicit dynamics in the scaled boundary finite element method
Higher-order generalized-\( \alpha\) methods for hyperbolic problems
Efficient exponential Runge-Kutta methods of high order: construction and implementation
A polytree based coupling method for non-matching meshes in 3D
On the numerical convergence and performance of different spatial discretization techniques for transient elastodynamic wave propagation problems
A massively parallel explicit solver for elasto-dynamic problems exploiting octree meshes
Automatic polyhedral mesh generation and scaled boundary finite element analysis of STL models
A mass lumping scheme for the 10-node tetrahedral element
An overview and recent advances in vector and scalar formalisms: space/time discretizations in computational dynamics -- a unified approach
A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
Precise integration methods based on Lagrange piecewise interpolation polynomials
The scaled boundary finite element method in structural dynamics
Diagonal Padé Approximations for Initial Value Problems
High‐order Padé and singly diagonally Runge‐Kutta schemes for linear ODEs, application to wave propagation problems
Efficient Quadrature Rules for Computing the Stiffness Matrices of Mass-Lumped Tetrahedral Elements for Linear Wave Problems
New Higher-Order Mass-Lumped Tetrahedral Elements for Wave Propagation Modelling
A Comparative Study of Two Families of Higher-Order Accurate Time Integration Algorithms
Spectral/hp Element Methods for Computational Fluid Dynamics
The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications