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3. Shallow Water Models and Their Analytical Properties

4. Integrability and Other Analytical Properties of Nonlinear PDE Systems

5. Equations of Fluid Dynamics and the Shallow Water Approximation

6. Arens regularity

7. Banach algebras

8. Banach algebras on locally compact groups

9. BSE norms and BSE algebras

10. Banach function algebras

11. Banach spaces and operators

12. Scalar Optimization under Uncertainty

13. Generalized Differentiation and Optimality Conditions

14. Applications

15. Functional Analysis over Cones

16. Optimization in Partially Ordered Spaces

17. Examples

18. Prime Density of Companion Lucas Sequences

19. Divisibility Sequences and Further Generalizations

20. Cubic Extensions of the Lucas Sequences

21. Some Properties of Lucasnomials

22. Linear Recurrence Sequences and Further Generalizations

23. Introduction

24. Some Further Properties of the Lucas Sequences

25. Applications

26. Epilogue and Open Problems

27. Basic Theory of the Lucas Sequences

28. Application Examples

29. Introduction

30. Efficient Portfolios for Vector Risk Functions

31. Efficient Portfolios for Scalar Risk Functions

32. Conclusion

33. Optimization

34. Integration and Differentiation

35. Randomness

36. Approximations and Interpolation

37. Solving nonlinear equations

38. Differential Equations

39. Basics of Numerical Computation

40. Computing with Matrices and Vectors

41. Equilibrium Solutions of Markov Chains and Related Topics

42. Transient Solutions of Markov Chains

43. Generating the Transition Matrix

44. Moving toward the Statistical Equilibrium

45. Execution Times, Space Requirements, and Accuracy of Algorithms

46. Systems with Events Created by Phase-type Processes

47. Systems with Events Created by Renewal Processes

48. Systems with Events Generated by Poisson or by Binomial Processes

49. Basic Concepts and Definitions

50. Infinite-state Markov Chains and Matrix Analytic Methods (MAM)

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