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Numerical method of estimating the blow-up time and rate of the solution of ordinary differential equations—An application to the blow-up problems of partial differential equations

机译：估计常微分方程解爆破时间和速率的数值方法—在偏微分方程爆破问题中的应用

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Hirota Chiaki; Ozawa Kazufumi;
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1. A numerical scheme for the blow-up time of solutions of a system of nonlinear ordinary differential equations [J] . Aroldo Perez, Jose Villa-Morales Applied numerical mathematics . 2022,第Jana期

机译：非线性常微分方程系统解的爆破时间的数值方案
2. Discussion on ????????Numerical solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics????????, ????????Analogue solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics???????? and ????????Analogue solution of elliptic differential equations by conformal transformations???????? [J] . Electrical Engineers, Proceedings of the Institution of . 1971,第6期

机译：用连续特性方法讨论二阶双曲型偏微分方程的数值解??????，二阶双曲型的模拟解偏微分方程的连续特性方法和利用共形变换的椭圆型微分方程的模拟解
3. BLOW-UP IN SOME ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS WITH TIME-DELAY [J] . ALFONSO C. CASAL, J. ILDEFONSO DIAZ, JOSE M. VEGAS Dynamic Systems and Applications . 2009,第1期

机译：时滞的一些普通和偏微分方程的爆破
4. Classification of Blow-up Solutions for a Nonlinear Parabolic Partial differential Equation [C] . Koichi ANADA, Tetsuya ISHTWATA 8th World Multi-Conference on Systemics, Cybernetics and Informatics(SCI 2004) vol.15: Post-Conference Issue . 2004

机译：非线性抛物型偏微分方程爆破解的分类。
5. High-order Multistep Asynchronous Splitting Methods (MASM) for the numerical solution of multiple-time-scale ordinary differential equations. [D] . Gudla, Pradeep Kumar. 2016

机译：多时间尺度常微分方程数值解的高阶多步异步分裂方法（MASM）。
6. Operational method of solution of linear non-integer ordinary and partial differential equations [O] . K. V. Zhukovsky -1

机译：线性非整数常微分方程和偏微分方程解的运算方法
7. Blow-up and pointwise comparison principles for the generalized Riccati differential equation and application to oscillation of some nonlinear ode's (Global qualitative theory of ordinary differential equations and its applications) [O] . Pasic Mervan 2013

机译：广义Riccati微分方程的爆破与点态比较原理及其在某些非线性节点振动中的应用（常微分方程的全球定性理论及其应用）。
8. Applications of Variational Equations to Ordinary and Partial Differential Equations-Multiple Solutions of Boundary Value Problems. [R] . Schmitt, K. 1973

机译：变分方程在常微分方程中的应用 - 边值问题的多解。

Numerical method of estimating the blow-up time and rate of the solution of ordinary differential equations—An application to the blow-up problems of partial differential equations

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