Bring the water and salt to a boil in a stockpot. Add pasta; cook 10 minutes or until al dente. Drain in a colander over a bowl, reserving 1/2 cup cooking liquid.
While pasta cooks, heat oil in a large nonstick skillet over medium heat. Add garlic; cook 3 minutes or until lightly browned, stirring frequently. Add anchovies, and cook 1 minute, stirring frequently. Remove from heat. Combine anchovy mixture, pasta, and reserved liquid; toss well to coat. Stir in walnuts; sprinkle with parsley.