Initial value problem

Tag	0FXDW992DS
URI	m2://0FXDW992DS
Kind	concept
Writing	W1 stated
MSC	34A12
Same as	Wikidata Q10167591 Wikipedia Initial value problem

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What this page needs for W2

• edge instance_of in: at least two examples (0 of 2)
• edge not_instance_of in: at least one non-example (0 of 1)
• edge specializes both: the more general notions and the special cases (0 of 1)

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What links here

Definitions

• Initial value problem

Used by

• Boundary value problem
• Bulirsch–Stoer algorithm
• Leapfrog integration
• Duhamel's integral
• Volterra integro-differential equation
• Method of lines
• Reduction of an initial value problem to a Volterra equation
• Tikhonov's theorem on slow-fast systems
• Linear multistep method
• Shooting method
• Rosenbrock methods
• Differential equations in Banach spaces
• Verlet integration
• Cauchy–Kovalevskaya theorem for ODEs
• Method of steps
• Numerical methods for ordinary differential equations
• Exponential integrator
• Runge–Kutta methods
• Parareal
• Backward differentiation formula
• Backward Euler method
• Predictor–corrector method
• Duhamel's principle
• Beeman's algorithm
• Heun's method
• Method of characteristics
• Midpoint method
• Functional differential equation
• Local truncation error

Results about this

• Osgood uniqueness criterion
• Carathéodory's existence theorem
• Comparison theorem
• Reduction of an initial value problem to a Volterra equation
• Cauchy–Kovalevskaya theorem for ODEs
• Differentiable dependence on parameters
• Parareal
• Kneser's theorem on solution sets