VODE
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Splitting-methods based on approximate matrix factorization and Radau-IIA formulas for the time integration of advection diffusion reaction PDEs ⋮ A front tracking method for particle-resolved simulation of evaporation and combustion of a fuel droplet ⋮ Implementing an ODE code on distributed memory computers ⋮ A locally adaptive time stepping algorithm for the solution to reaction diffusion equations on branched structures ⋮ Fast wave propagation by model order reduction ⋮ Second-order conditional moment closure simulations of autoignition of an n-heptane plume in a turbulent coflow of heated air ⋮ Nonlinear dynamics and control of a variable order oscillator with application to the van der Pol equation ⋮ A high-order numerical algorithm for DNS of low-Mach-number reactive flows with detailed chemistry and quasi-spectral accuracy ⋮ Numerical investigation on the induction zone structure of the oblique detonation waves ⋮ A detailed verification procedure for compressible reactive multicomponent Navier-Stokes solvers ⋮ Avoiding BDF stability barriers in the MOL solution of advection- dominated problems ⋮ On temperature rate terms for viscoplastic constitutive models with applications to high temperature materials ⋮ Travelling waves for complete discretizations of reaction diffusion systems ⋮ Explicit methods for stiff ODEs from atmospheric chemistry ⋮ Parallel chemistry acceleration algorithms based on ISAT method in gaseous detonation computations ⋮ A fully implicit numerical method for single-fluid resistive magnetohydrodynamics ⋮ An iterated Radau method for time-dependent PDEs ⋮ A second-order coupled immersed boundary-SAMR construction for chemically reacting flow over a heat-conducting Cartesian grid-conforming solid ⋮ WAMR: an adaptive wavelet method for the simulation of compressible reacting flow. Part II: The parallel algorithm ⋮ A computationally-efficient, semi-implicit, iterative method for the time-integration of reacting flows with stiff chemistry ⋮ A parallel stiff ODE solver based on MIRKs ⋮ Parallel iterated method based on multistep Runge-Kutta methods of Radau type for stiff problems ⋮ Numerical investigations on global error estimation for ordinary differential equations ⋮ ROWMAP -- a ROW-code with Krylov techniques for large stiff ODEs ⋮ Parallel iterative linear solvers for multistep Runge-Kutta methods ⋮ On the pinning controllability of complex networks using perturbation theory of extreme singular values. Application to synchronisation in power grids ⋮ Adaptive low Mach number simulations of nuclear flame microphysics ⋮ A generalization to variable stepsizes of Störmer methods for second-order differential equations ⋮ The numerical solution of large systems of stiff IVPs for ODEs ⋮ Analysis and implementation of TR-BDF2 ⋮ On the performance of parallel waveform relaxations for differential systems ⋮ A comparison of preconditioners in the solution of parabolic systems in three space dimensions using DASPK and a high order finite element method ⋮ Surface motion of single crystals driven by anisotropic surface diffusion ⋮ Solving initial value problems for ordinary differential equations by two approaches: BDF and piecewise-linearized methods ⋮ On a consistent high-order finite difference scheme with kinetic energy conservation for simulating turbulent reacting flows ⋮ Extrapolated stabilized explicit Runge-Kutta methods ⋮ Stiffness in numerical initial-value problems ⋮ RKC: An explicit solver for parabolic PDEs ⋮ Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments ⋮ Detonation initiation developing from the Richtmyer-Meshkov instability ⋮ Modeling low Mach number reacting flow with detailed chemistry and transport ⋮ Uncertainty quantification in a chemical system using error estimate-based mesh adaption ⋮ Recasting the mass-action rate equations of open chemical reaction networks into a universal quadratic format80A30 ⋮ A low-dissipation and time-accurate method for compressible multi-component flow with variable specific heat ratios ⋮ Two-dimensional numerical simulations of multi-headed detonations in oxygen-aluminum mixtures using an adaptive mesh refinement ⋮ Explicit two-step peer methods ⋮ A piecewise-linearized algorithm based on the Krylov subspace for solving stiff ODEs ⋮ Simulations of stellar convection with CO5BOLD ⋮ Truncated Newton methods for optimization with inaccurate functions and gradients ⋮ A test set for stiff initial value problem solvers in the open source software R: Package \textbf{deTestSet} ⋮ A minimal hyperbolic system for unstable shock waves ⋮ Analyzing radiation diffusion using time-dependent sensitivity-based techniques. ⋮ Numerical simulation of pulse detonation engine phenomena ⋮ Long-time behaviour of soliton ensembles. 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II: Stiff, operator-split formulation ⋮ A numerical study of large sparse matrix exponentials arising in Markov chains. ⋮ Parallel iterated methods based on variable step-size multistep Runge-Kutta methods of Radau type for stiff problems ⋮ A semi-implicit numerical scheme for reacting flow. I: Stiff chemistry ⋮ An Eulerian-Lagrangian model for dense particle clouds ⋮ Solving ordinary differential equations by generalized Adams methods: Properties and implementation techniques ⋮ Numerical experiments with Krylov integrators ⋮ A probabilistic model for the numerical solution of initial value problems ⋮ Heat transfer of a cylindrical body with catalytic surface in subsonic nonequilibrium air plasma flow ⋮ Efficient variable stiffness methods for cooling of hot-rolled steel sections. ⋮ An exponential integrator for non-autonomous parabolic problems ⋮ Postprocessing Fourier spectral methods: The case of smooth solutions ⋮ Dynamic load balance of chemical source term evaluation in high-fidelity combustion simulations ⋮ AMF-Runge-Kutta formulas and error estimates for the time integration of advection diffusion reaction PDEs ⋮ Linear conservation laws for ODEs ⋮ A comparison of stiff ODE solvers for astrochemical kinetics problems ⋮ A collocation formulation of multistep methods for variable step-size extensions
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