applied mathematics
隐式欧拉法
Implicit Euler schemeA first-order numerical procedure for solving ordinary differential equations (ODEs) and partial differential equations (PDEs) / 一种用于求解常微分方程（ODE）和偏微分方程（PDE）的一阶数值方法
- Knowledge type
- 工艺技术
- First proposed or discovered
- Proposer
- Turkey Farm member
- Creator
- 农场主
- Last updated
- 2026-11-04 22:05:21
Sub-knowledge points
Backward Euler methodGlobal stability preservation
Higher-order knowledge points
Numerical analysisFinite difference methods
Main parameters and performance indicators
time step size: determines the accuracy and stability of the integrationnonlinear term: requires solving a system of algebraic equations at each step
Open problems
High computational cost for large-scale systemsDifficulty in achieving high-order accuracy
Related literature
ranked by community starsAn implicit Euler scheme preserving global stability for a nonlinear diffusive age-structured HBV infection modelOpen source
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