Efficient simulation of discrete stochastic reaction systems with a splitting method
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Publication:616169
DOI10.1007/s10543-010-0286-0zbMath1205.65023OpenAlexW2013672417MaRDI QIDQ616169
Publication date: 7 January 2011
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://publikationen.bibliothek.kit.edu/1000024896
numerical exampleserror boundsMarkov processsplitting methodschemical master equationstochastic simulation algorithmanalytic solution formulasdiscrete stochastic reaction systems
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Cites Work
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- Multiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems
- Error analysis of tau-leap simulation methods
- Solving the chemical master equation for monomolecular reaction systems analytically
- Reversible-equivalent-monomolecular tau: a leaping method for ``small number and stiff stochastic chemical systems
- On the convergence of splitting methods for linear evolutionary Schrödinger equations involving an unbounded potential
- High order splitting methods for analytic semigroups exist
- Strang's formula for holomorphic semi-groups
- A variational splitting integrator for quantum molecular dynamics.
- Error bounds for exponential operator splittings
- An adaptive algorithm for simulation of stochastic reaction-diffusion processes
- The Mathematics of Infectious Diseases
- Approximating the solution of the chemical master equation by aggregation
- Numerical methods for strong solutions of stochastic differential equations: an overview
- On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
- Analysis of splitting methods for reaction-diffusion problems using stochastic calculus
- Exponential splitting for unbounded operators
- An Adaptive Wavelet Method for the Chemical Master Equation
- High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations
- Splitting methods
- Analysis of Explicit Tau-Leaping Schemes for Simulating Chemically Reacting Systems
- Strang Splitting for the Time-Dependent Schrödinger Equation on Sparse Grids
- Geometric Numerical Integration
- Adaptive simulation of hybrid stochastic and deterministic models for biochemical systems
- Consistency and Stability of Tau-Leaping Schemes for Chemical Reaction Systems
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