scientific article; zbMATH DE number 1796810
From MaRDI portal
Publication:4551183
zbMath1001.65071MaRDI QIDQ4551183
Peter Deuflhard, Folkmar A. Bornemann
Publication date: 5 September 2002
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Multiple scale methods for ordinary differential equations (34E13)
Related Items (85)
Linear mean-square stability properties of semi-implicit weak order 2.0 Taylor schemes for systems of stochastic differential equations ⋮ Semi-parametric survival function estimators deduced from an identifying Volterra type integral equation ⋮ On the Construction of Mass Conservative and Meshless Adaptive Particle Advection Methods ⋮ On the solution of the polynomial systems arising in the discretization of certain ODEs ⋮ Asymptotic analysis of finite difference methods ⋮ Some error analysis for the quantum phase estimation algorithms ⋮ On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes ⋮ An asymptotical regularization with convex constraints for inverse problems ⋮ On target for Venus -- set oriented computation of energy efficient low thrust trajectories ⋮ A Posteriori Error Estimates for Pressure-Correction Schemes ⋮ Extrapolated local radial basis function collocation method for shallow water problems ⋮ On the asymptotical regularization with convex constraints for nonlinear ill-posed problems ⋮ High-order \(W\)-methods ⋮ Efficiently and easily integrating differential equations with JiTCODE, JiTCDDE, and JiTCSDE ⋮ Two-step strong order 1.5 schemes for stochastic differential equations ⋮ A Peano theorem for fuzzy differential equations with evolving membership grade ⋮ On a thermomechanical milling model ⋮ An inverse model and mathematical solution for inferring viscoelastic properties and dynamic deformations of heterogeneous structures ⋮ MS-stability of nonnormal stochastic differential systems ⋮ Computing optimal properties of drugs using mathematical models of single channel dynamics ⋮ Efficient Time-Stepping for Numerical Integration Using Reinforcement Learning ⋮ High-order Gaussian RBF-FD methods for real estate index derivatives with stochastic volatility ⋮ A study of the local dynamics of modified Patankar DeC and higher order modified Patankar–RK methods ⋮ Rosenbrock-W methods for stochastic Galerkin systems ⋮ On the dynamics of first and second order GeCo and gBBKS schemes ⋮ Numerical solution of the modified and non-Newtonian Burgers equations by stochastic coded trees ⋮ Mean-square stability analysis of numerical schemes for stochastic differential systems ⋮ Stochastic Galerkin techniques for random ordinary differential equations ⋮ A survey of mean-square destabilization of multidimensional linear stochastic differential systems with non-normal drift ⋮ Partial equilibrium approximations in apoptosis. II: The death-inducing signaling complex subsystem ⋮ Shape sensitivity analysis for a microchannel cooling system ⋮ A fully nonlinear Feynman-Kac formula with derivatives of arbitrary orders ⋮ A deep branching solver for fully nonlinear partial differential equations ⋮ Using Chebyshev polynomials to approximate partial differential equations: a reply ⋮ Adaptive finite element simulation of the time-dependent simplified \(P_N\) equations ⋮ MFO-RIMS tandem workshop: Nonlocality in analysis, probability and statistics. Abstracts from the MFO-RIMS tandem workshop held March 20--26, 2022 ⋮ Adaptive timestep control for the contact-stabilized Newmark method ⋮ Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension ⋮ A complex mathematical model of the human menstrual cycle ⋮ Numerical calculation of wear in mechanical systems ⋮ Error-controlled global sensitivity analysis of ordinary differential equations ⋮ Standing waves, clustering, and phase waves in 1D simulations of kinetic relaxation oscillations in NO + NH\(_{3}\) on Pt(1 0 0) coupled by diffusion ⋮ Stochastic differential equations as a tool to regularize the parameter estimation problem for continuous time dynamical systems given discrete time measurements ⋮ A nonnegativity preserved efficient algorithm for atmospheric chemical kinetic equations ⋮ Timestepping schemes for nonsmooth dynamics based on discontinuous Galerkin methods: definition and outlook ⋮ Half-explicit timestepping schemes on velocity level based on time-discontinuous Galerkin methods ⋮ The effect of perception anisotropy on particle systems describing pedestrian flows in corridors ⋮ The contact-stabilized Newmark method: consistency error of a spatiotemporal discretization ⋮ On Efficiency and Accuracy in Cardioelectric Simulation ⋮ Modelling, Analysis and Stability of Milling Processes Including Workpiece Effects ⋮ Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations ⋮ A Polynomial Formulation of Adaptive Strong Stability Preserving Multistep Methods ⋮ Investment under uncertainty: calculating the value function when the Bellman equation cannot be solved analytically ⋮ A rational Krylov method for solving time-periodic differential equations ⋮ An adaptive extrapolation discontinuous Galerkin method for the valuation of Asian options ⋮ Taylor expansions of solutions of stochastic partial differential equations with additive noise ⋮ Numerical schemes for ordinary delay differential equations with random noise ⋮ Smooth initialization of lattice Boltzmann schemes ⋮ \(A\)-stable Runge-Kutta methods for semilinear evolution equations ⋮ Consistency results on Newmark methods for dynamical contact problems ⋮ Pathwise convergent higher order numerical schemes for random ordinary differential equations ⋮ Simulation of the transverse vibrations of a cantilever beam with an eccentric tip mass in the axial direction using integral transforms ⋮ Asymptotic mean-square stability of two-step Maruyama schemes for stochastic differential equations ⋮ The directed search method for multi-objective memetic algorithms ⋮ Optimal control for a tuberculosis model with undetected cases in Cameroon ⋮ Reducing Memory Requirements in Scientific Computing and Optimal Control ⋮ Extrapolation discontinuous Galerkin method for ultraparabolic equations ⋮ Stability of the leapfrog/midpoint method ⋮ Smooth functional tempering for nonlinear differential equation models ⋮ Pathwise Taylor schemes for random ordinary differential equations ⋮ Numerical continuation of Hamiltonian relative periodic orbits ⋮ Probabilistic solutions to ordinary differential equations as nonlinear Bayesian filtering: a new perspective ⋮ Bayesian ODE solvers: the maximum a posteriori estimate ⋮ A variational formulation of the BDF2 method for metric gradient flows ⋮ Pointwise nonlinear scaling for reaction-diffusion equations ⋮ Stability analysis of the cell centered finite-volume MUSCL method on unstructured grids ⋮ Integration On Three-Dimensional Regular Regions Based On (Modified) Euler Summation ⋮ Conservative semi-Lagrangian advection on adaptive unstructured meshes ⋮ A review on computational modelling of phase-transition problems ⋮ A probabilistic model for the numerical solution of initial value problems ⋮ Nonlinear Conjugate Gradient Methods for PDE Constrained Shape Optimization Based on Steklov--Poincaré-Type Metrics ⋮ Two-sided bounds for the asymptotic behaviour of free nonlinear vibration systems with application of the differential calculus of norms ⋮ Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series ⋮ Explicit methods in extended phase space for inseparable Hamiltonian problems ⋮ Two-step Milstein schemes for stochastic differential equations
Uses Software
This page was built for publication:
