RKC
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A finite element semi-Lagrangian explicit Runge-Kutta-Chebyshev method for convection dominated reaction-diffusion problems ⋮ Splitting-methods based on approximate matrix factorization and Radau-IIA formulas for the time integration of advection diffusion reaction PDEs ⋮ On stability and convergence of semi-Lagrangian methods for the first-order time-dependent nonlinear partial differential equations in 1D ⋮ Solving nonlinear parabolic PDEs in several dimensions: parallelized ESERK codes ⋮ Super-time-stepping schemes for parabolic equations with boundary conditions ⋮ Exponential Krylov peer integrators ⋮ Explicit Runge-Kutta methods for stiff problems with a gap in their eigenvalue spectrum ⋮ A class of high-order Runge-Kutta-Chebyshev stability polynomials ⋮ Fast and stable explicit operator splitting methods for phase-field models ⋮ Krylov single-step implicit integration factor WENO methods for advection-diffusion-reaction equations ⋮ An efficient conservative cut-cell method for rigid bodies interacting with viscous compressible flows ⋮ A high-order numerical algorithm for DNS of low-Mach-number reactive flows with detailed chemistry and quasi-spectral accuracy ⋮ Performance of Borel-Padé-Laplace integrator for the solution of stiff and non-stiff problems ⋮ Optimal Explicit Stabilized Integrator of Weak Order 1 for Stiff and Ergodic Stochastic Differential Equations ⋮ Stabilized explicit Runge-Kutta methods for multi-asset American options ⋮ Krylov implicit integration factor methods for semilinear fourth-order equations ⋮ Unnamed Item ⋮ Runge-Kutta-Chebyshev projection method ⋮ Krylov implicit integration factor WENO methods for semilinear and fully nonlinear advection-diffusion-reaction equations ⋮ Accelerating moderately stiff chemical kinetics in reactive-flow simulations using GPUs ⋮ A stabilized Runge-Kutta-Legendre method for explicit super-time-stepping of parabolic and mixed equations ⋮ A finite elements method to solve the Bloch-Torrey equation applied to diffusion magnetic resonance imaging ⋮ Second-order accurate projective integrators for multiscale problems ⋮ The development of Runge-Kutta methods for partial differential equations ⋮ Discontinuous Galerkin \(h p\)-adaptive methods for multiscale chemical reactors: quiescent reactors ⋮ Explicit stabilised gradient descent for faster strongly convex optimisation ⋮ W-methods to stabilize standard explicit Runge-Kutta methods in the time integration of advection-diffusion-reaction PDEs ⋮ Extrapolated stabilized explicit Runge-Kutta methods ⋮ Essentially optimal explicit Runge-Kutta methods with application to hyperbolic-parabolic equations ⋮ A high-order low-Mach number AMR construction for chemically reacting flows ⋮ On stabilized integration for time-dependent PDEs ⋮ Stochastic spectral methods for efficient Bayesian solution of inverse problems ⋮ Mixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equations ⋮ Modeling low Mach number reacting flow with detailed chemistry and transport ⋮ Application of discontinuous Galerkin methods for reaction-diffusion systems in developmental biology ⋮ PIROCK: A swiss-knife partitioned implicit-explicit orthogonal Runge-Kutta Chebyshev integrator for stiff diffusion-advection-reaction problems with or without noise ⋮ Computational complexity study on Krylov integration factor WENO method for high spatial dimension convection-diffusion problems ⋮ ESERK5: a fifth-order extrapolated stabilized explicit Runge-Kutta method ⋮ A low-dissipation and time-accurate method for compressible multi-component flow with variable specific heat ratios ⋮ A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting ⋮ A fully adaptive explicit stabilized integrator for advection-diffusion-reaction problems ⋮ An efficient NR\(xx\) method for Boltzmann-BGK equation ⋮ Towards explicit methods for differential algebraic equations ⋮ Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations ⋮ An approach to time integration of the Navier-Stokes equations ⋮ Construction and analysis of explicit adaptive one-step methods for solving stiff problems ⋮ A variable time-step-size code for advection-diffusion-reaction PDEs ⋮ An anisotropic adaptive, Lagrange-Galerkin numerical method for spray combustion ⋮ A stabilized explicit Lagrange multiplier based domain decomposition method for parabolic problems ⋮ Runge-Kutta-Gegenbauer explicit methods for advection-diffusion problems ⋮ Closed-form solutions to differential equations via differential evolution ⋮ A stable and accurate scheme for nonlinear diffusion equations: application to atmospheric boundary layer ⋮ Improved Runge-Kutta-Chebyshev methods ⋮ Paired explicit Runge-Kutta schemes for stiff systems of equations ⋮ A sharp-interface method for the simulation of shock-induced vaporization of droplets ⋮ A computational model for nanosecond pulse laser-plasma interactions ⋮ Partitioned and implicit-explicit general linear methods for ordinary differential equations ⋮ Canonical Euler splitting method for nonlinear composite stiff evolution equations ⋮ A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs. ⋮ Spectral properties and conservation laws in mimetic finite difference methods for PDEs ⋮ An adaptive finite element semi-Lagrangian implicit-explicit Runge-Kutta-Chebyshev method for convection dominated reaction-diffusion problems ⋮ Stabilized methods for stiff stochastic systems ⋮ Embedded symmetric nested implicit Runge-Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems ⋮ Time step selection for shock problems ⋮ A comparison of AMF- and Krylov-methods in Matlab for large stiff ODE systems ⋮ A partition of unity finite element method for computational diffusion MRI ⋮ RKC time-stepping for advection-diffusion-reaction problems ⋮ Krylov implicit integration factor methods for spatial discretization on high-dimensional unstructured meshes: application to discontinuous Galerkin methods ⋮ A component-based toolkit for simulating reacting flows with high order spatial discretisations on structured adaptively refined meshes ⋮ Second-order stabilized explicit Runge-Kutta methods for stiff problems ⋮ Fourth Order Chebyshev Methods with Recurrence Relation ⋮ New stability results for explicit Runge-Kutta methods ⋮ Modelling and simulation of a polluted water pumping process ⋮ The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations ⋮ IRKC: an IMEX solver for stiff diffusion-reaction PDEs ⋮ Some properties of the Runge-Kutta-Legendre super-time-stepping explicit methods ⋮ An implicit-explicit Runge-Kutta-Chebyshev finite element method for the nonlinear Lithium-ion battery equations ⋮ ART: adaptive residual-time restarting for Krylov subspace matrix exponential evaluations ⋮ Efficient partitioned numerical integrators for myocardial cell models ⋮ A local anisotropic adaptive algorithm for the solution of low-Mach transient combustion problems ⋮ A Finite Volume Method for Solving Parabolic Equations on Logically Cartesian Curved Surface Meshes ⋮ Pseudotransient Continuation for Combustion Simulation with Detailed Reaction Mechanisms ⋮ Implementation of exponential Rosenbrock-type integrators ⋮ An Eulerian-Lagrangian method for coupled parabolic-hyperbolic equations ⋮ Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems ⋮ Approximation of matrix operators applied to multiple vectors ⋮ High Order Implicit-explicit General Linear Methods with Optimized Stability Regions ⋮ Stability of Explicit One-Step Methods for P1-Finite Element Approximation of Linear Diffusion Equations on Anisotropic Meshes ⋮ High order explicit methods for parabolic equations ⋮ Discrete Lagrange equations for reacting thermofluid dynamics in arbitrary Lagrangian-Eulerian frames ⋮ Partitioned Runge–Kutta–Chebyshev Methods for Diffusion-Advection-Reaction Problems ⋮ Efficient thermal field computation in phase-field models ⋮ Numerical study on shock-accelerated heavy gas cylinders with diffusive interfaces ⋮ Spatio temporal dynamics of direct current in treated anisotropic tumors ⋮ Multi-implicit peer two-step W-methods for parallel time integration ⋮ Efficient variable stiffness methods for cooling of hot-rolled steel sections. ⋮ Efficient Krylov-based exponential time differencing method in application to 3D advection-diffusion-reaction systems ⋮ Pouzet-Runge-Kutta-Chebyshev method for Volterra integral equations of the second kind ⋮ AMF-Runge-Kutta formulas and error estimates for the time integration of advection diffusion reaction PDEs ⋮ New Resolution Strategy for Multi-scale Reaction Waves using Time Operator Splitting and Space Adaptive Multiresolution: Application to Human Ischemic Stroke
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