DevanshKandpal: Bot: wrap bare course codes in wikilinks

2026-04-14T16:42:35Z

Bot: wrap bare course codes in wikilinks

← Older revision		Revision as of 16:42, 14 April 2026
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	\| credits = 4		\| credits = 4
	\| credit_structure = 3-0-2		\| credit_structure = 3-0-2
	\| pre_requisites = MTL107		\| pre_requisites = [[MTL107]]
	\| overlaps = MTL712, CLL113		\| overlaps = [[MTL712]], [[CLL113]]
	}}		}}

	== MTL445 : Computational Methods for Differential Equations ==		== MTL445 : Computational Methods for Differential Equations ==
	Numerical methods for solving IVPs for ODEs: Difference equations, Routh-Hurwitz criterion, Test Equation. Single step methods: Taylor series method, explicit Runge-Kutta methods, convergence, order, relative and absolute stability. Multistep methods: Development of linear multistep method using interpolation and undetermined parameter approach, convergence, order, relative and absolute stability, Predictor Corrector methods. Solution of initial value problems of systems of ODES. BVP: Finite difference methods for second order ODEs, Eigenvalue problems. PDEs: Finite difference methods for Elliptic PDEs, Consistency, stability and convergence. Boundary Conditions. FD methods for Parabolic equations in 1D and 2D. Operator splitting methods, Convergence, stability and consistency of difference methods. Higher order methods. Introduction to Hyperbolic PDEs, FD methods. Upwind schemes, Consistency, stability and convergence of schemes. Second order schemes.		Numerical methods for solving IVPs for ODEs: Difference equations, Routh-Hurwitz criterion, Test Equation. Single step methods: Taylor series method, explicit Runge-Kutta methods, convergence, order, relative and absolute stability. Multistep methods: Development of linear multistep method using interpolation and undetermined parameter approach, convergence, order, relative and absolute stability, Predictor Corrector methods. Solution of initial value problems of systems of ODES. BVP: Finite difference methods for second order ODEs, Eigenvalue problems. PDEs: Finite difference methods for Elliptic PDEs, Consistency, stability and convergence. Boundary Conditions. FD methods for Parabolic equations in 1D and 2D. Operator splitting methods, Convergence, stability and consistency of difference methods. Higher order methods. Introduction to Hyperbolic PDEs, FD methods. Upwind schemes, Consistency, stability and convergence of schemes. Second order schemes.

Prashantt492: Creating course page via bot

2026-03-04T10:14:12Z

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{{Infobox Course
| code = MTL445
| name = Computational Methods for Differential Equations
| credits = 4
| credit_structure = 3-0-2
| pre_requisites = MTL107
| overlaps = MTL712, CLL113
}}

== MTL445 : Computational Methods for Differential Equations ==
Numerical methods for solving IVPs for ODEs: Difference equations, Routh-Hurwitz criterion, Test Equation. Single step methods: Taylor series method, explicit Runge-Kutta methods, convergence, order, relative and absolute stability. Multistep methods: Development of linear multistep method using interpolation and undetermined parameter approach, convergence, order, relative and absolute stability, Predictor Corrector methods. Solution of initial value problems of systems of ODES. BVP: Finite difference methods for second order ODEs, Eigenvalue problems. PDEs: Finite difference methods for Elliptic PDEs, Consistency, stability and convergence. Boundary Conditions. FD methods for Parabolic equations in 1D and 2D. Operator splitting methods, Convergence, stability and consistency of difference methods. Higher order methods. Introduction to Hyperbolic PDEs, FD methods. Upwind schemes, Consistency, stability and convergence of schemes. Second order schemes.

MTL445 - Revision history

DevanshKandpal: Bot: wrap bare course codes in wikilinks

Prashantt492: Creating course page via bot