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A finite element semi-Lagrangian explicit Runge-Kutta-Chebyshev method for convection dominated reaction-diffusion problemsSplitting-methods based on approximate matrix factorization and Radau-IIA formulas for the time integration of advection diffusion reaction PDEsOn stability and convergence of semi-Lagrangian methods for the first-order time-dependent nonlinear partial differential equations in 1DSolving nonlinear parabolic PDEs in several dimensions: parallelized ESERK codesSuper-time-stepping schemes for parabolic equations with boundary conditionsExponential Krylov peer integratorsExplicit Runge-Kutta methods for stiff problems with a gap in their eigenvalue spectrumA class of high-order Runge-Kutta-Chebyshev stability polynomialsFast and stable explicit operator splitting methods for phase-field modelsKrylov single-step implicit integration factor WENO methods for advection-diffusion-reaction equationsAn efficient conservative cut-cell method for rigid bodies interacting with viscous compressible flowsA high-order numerical algorithm for DNS of low-Mach-number reactive flows with detailed chemistry and quasi-spectral accuracyPerformance of Borel-Padé-Laplace integrator for the solution of stiff and non-stiff problemsOptimal Explicit Stabilized Integrator of Weak Order 1 for Stiff and Ergodic Stochastic Differential EquationsStabilized explicit Runge-Kutta methods for multi-asset American optionsKrylov implicit integration factor methods for semilinear fourth-order equationsUnnamed ItemRunge-Kutta-Chebyshev projection methodKrylov implicit integration factor WENO methods for semilinear and fully nonlinear advection-diffusion-reaction equationsAccelerating moderately stiff chemical kinetics in reactive-flow simulations using GPUsA stabilized Runge-Kutta-Legendre method for explicit super-time-stepping of parabolic and mixed equationsA finite elements method to solve the Bloch-Torrey equation applied to diffusion magnetic resonance imagingSecond-order accurate projective integrators for multiscale problemsThe development of Runge-Kutta methods for partial differential equationsDiscontinuous Galerkin \(h p\)-adaptive methods for multiscale chemical reactors: quiescent reactorsExplicit stabilised gradient descent for faster strongly convex optimisationW-methods to stabilize standard explicit Runge-Kutta methods in the time integration of advection-diffusion-reaction PDEsExtrapolated stabilized explicit Runge-Kutta methodsEssentially optimal explicit Runge-Kutta methods with application to hyperbolic-parabolic equationsA high-order low-Mach number AMR construction for chemically reacting flowsOn stabilized integration for time-dependent PDEsStochastic spectral methods for efficient Bayesian solution of inverse problemsMixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equationsModeling low Mach number reacting flow with detailed chemistry and transportApplication of discontinuous Galerkin methods for reaction-diffusion systems in developmental biologyPIROCK: A swiss-knife partitioned implicit-explicit orthogonal Runge-Kutta Chebyshev integrator for stiff diffusion-advection-reaction problems with or without noiseComputational complexity study on Krylov integration factor WENO method for high spatial dimension convection-diffusion problemsESERK5: a fifth-order extrapolated stabilized explicit Runge-Kutta methodA low-dissipation and time-accurate method for compressible multi-component flow with variable specific heat ratiosA second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splittingA fully adaptive explicit stabilized integrator for advection-diffusion-reaction problemsAn efficient NR\(xx\) method for Boltzmann-BGK equationTowards explicit methods for differential algebraic equationsImplicit-explicit predictor-corrector schemes for nonlinear parabolic differential equationsAn approach to time integration of the Navier-Stokes equationsConstruction and analysis of explicit adaptive one-step methods for solving stiff problemsA variable time-step-size code for advection-diffusion-reaction PDEsAn anisotropic adaptive, Lagrange-Galerkin numerical method for spray combustionA stabilized explicit Lagrange multiplier based domain decomposition method for parabolic problemsRunge-Kutta-Gegenbauer explicit methods for advection-diffusion problemsClosed-form solutions to differential equations via differential evolutionA stable and accurate scheme for nonlinear diffusion equations: application to atmospheric boundary layerImproved Runge-Kutta-Chebyshev methodsPaired explicit Runge-Kutta schemes for stiff systems of equationsA sharp-interface method for the simulation of shock-induced vaporization of dropletsA computational model for nanosecond pulse laser-plasma interactionsPartitioned and implicit-explicit general linear methods for ordinary differential equationsCanonical Euler splitting method for nonlinear composite stiff evolution equationsA 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 PDEsAn adaptive finite element semi-Lagrangian implicit-explicit Runge-Kutta-Chebyshev method for convection dominated reaction-diffusion problemsStabilized methods for stiff stochastic systemsEmbedded symmetric nested implicit Runge-Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systemsTime step selection for shock problemsA comparison of AMF- and Krylov-methods in Matlab for large stiff ODE systemsA partition of unity finite element method for computational diffusion MRIRKC time-stepping for advection-diffusion-reaction problemsKrylov implicit integration factor methods for spatial discretization on high-dimensional unstructured meshes: application to discontinuous Galerkin methodsA component-based toolkit for simulating reacting flows with high order spatial discretisations on structured adaptively refined meshesSecond-order stabilized explicit Runge-Kutta methods for stiff problemsFourth Order Chebyshev Methods with Recurrence RelationNew stability results for explicit Runge-Kutta methodsModelling and simulation of a polluted water pumping processThe Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equationsIRKC: an IMEX solver for stiff diffusion-reaction PDEsSome properties of the Runge-Kutta-Legendre super-time-stepping explicit methodsAn implicit-explicit Runge-Kutta-Chebyshev finite element method for the nonlinear Lithium-ion battery equationsART: adaptive residual-time restarting for Krylov subspace matrix exponential evaluationsEfficient partitioned numerical integrators for myocardial cell modelsA local anisotropic adaptive algorithm for the solution of low-Mach transient combustion problemsA Finite Volume Method for Solving Parabolic Equations on Logically Cartesian Curved Surface MeshesPseudotransient Continuation for Combustion Simulation with Detailed Reaction MechanismsImplementation of exponential Rosenbrock-type integratorsAn Eulerian-Lagrangian method for coupled parabolic-hyperbolic equationsDimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problemsApproximation of matrix operators applied to multiple vectorsHigh Order Implicit-explicit General Linear Methods with Optimized Stability RegionsStability of Explicit One-Step Methods for P1-Finite Element Approximation of Linear Diffusion Equations on Anisotropic MeshesHigh order explicit methods for parabolic equationsDiscrete Lagrange equations for reacting thermofluid dynamics in arbitrary Lagrangian-Eulerian framesPartitioned Runge–Kutta–Chebyshev Methods for Diffusion-Advection-Reaction ProblemsEfficient thermal field computation in phase-field modelsNumerical study on shock-accelerated heavy gas cylinders with diffusive interfacesSpatio temporal dynamics of direct current in treated anisotropic tumorsMulti-implicit peer two-step W-methods for parallel time integrationEfficient variable stiffness methods for cooling of hot-rolled steel sections.Efficient Krylov-based exponential time differencing method in application to 3D advection-diffusion-reaction systemsPouzet-Runge-Kutta-Chebyshev method for Volterra integral equations of the second kindAMF-Runge-Kutta formulas and error estimates for the time integration of advection diffusion reaction PDEsNew Resolution Strategy for Multi-scale Reaction Waves using Time Operator Splitting and Space Adaptive Multiresolution: Application to Human Ischemic Stroke


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